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Research of Optimal Control and Inverse Problems for Nonlinear Evolution Equations

Research Project

Project/Area Number 16540194
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionKobe University

Principal Investigator

NAKAGIRI Shin-ichi  Kobe University, Faculty of Engineering, Professor, 工学部, 教授 (20031148)

Co-Investigator(Kenkyū-buntansha) TABATA Minoru  Osaka Prefecture University, Faculty of Engineering, Professor, 工学部, 教授 (70207215)
NAITO Yuki  Kobe University, Faculty of Engineering, Assoc. Professor, 工学部, 助教授 (10231458)
ISHII Katsuyuki  Kobe University, Faculty of Maritime Sciences, Assoc. Professor, 海事科学部, 助教授 (40232227)
KOJIMA Fumio  Kobe University, Graduate School of Science and Technology, professor, 自然科学研究科, 教授 (70234763)
YAGI Atsushi  Osaka University, Graduate School of Technology, Professor, 大学院・工学研究科, 教授 (70116119)
Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2006: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordsoptimal control / inverse problem / nonlinear evolution equation / nonlinear wave / vibrating membrane / visco-elasticity / parameter identification / optimality condition / 最適性の必要条件 / 安定性 / 同定問題 / 最小2乗法
Research Abstract

According to the research plan, the head investigator Nakagiri studied and summarized the research on optimal control and inverse problems for nonlinear evolution equations. He has proved the Gateaux and Frechet differentiability of solution mappings for nonlinear first and second-order evolution equations with respect to forcing functions and initial values. Based on the results and the variational method due to Lions, we have investigated nonconvex cost optimal control problems and inverse problems for more physically important nonlinear equations such as distributed neural network equations, sine-Gordon equations, Klein-Gordon equations, viscoelastic equations, and equations of vibrating membrane with strong viscosity. These equations have own hard nonlinear structures and required the special and proper analysis of solutions. In order to solve our problems we have to obtain the delicate and proper estimates of solutions. Under the conscious of problems, we have succeeded in obtaini … More ng the results of problems for the above equations with the help of Drs Ha, Vanualailai, Hwang, and Wang. In addition, we have studied the optimal control and inverse problems for abstract nonlinear Volterra integro-differential equations with applications to viscoelastic equations with long memory. The researches of other investigators are as follows. The investigator Tabata studied the mathematical models in population movements and epidemiology. The investigator Naito studied the structure of self-similar solutions for nonlinear PDE's, and the investigator Ishii studied the convergence of algorithm for motion by mean curvature. The investigator Kojima proposed and studied the new method of data mining by the analysis of inverse problems, and applied it to the estimation problem for nondestructive testing. The investigator Yagi studied model equations appearing in mathematical physics and ecology from the stand point of infinite dimensional dynamical systems. The results of all investigators were published in the journals given below. Less

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (164 results)

All 2007 2006 2005 2004

All Journal Article (163 results) Book (1 results)

  • [Journal Article] Weak solutions of the equation of motion of membrane with strong viscosity2007

    • Author(s)
      J-S.Hwang
    • Journal Title

      Journal of Korean Mathematical Society 44-2

      Pages: 443-453

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] A Pexiderized wavelike partial difference functional equation2007

    • Author(s)
      S.Haruki
    • Journal Title

      Aequationes Mathematicae 68(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity2007

    • Author(s)
      Y.Naito
    • Journal Title

      Journal of Differential Equations 232

      Pages: 176-211

    • NAID

      120000949622

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Positive solutions for semilinear elliptic equations with singular forcing terms2007

    • Author(s)
      Y.Naito
    • Journal Title

      Journal of Differential Equations 235

      Pages: 439-483

    • NAID

      120000943493

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Nondestructive evaluation for material degradation of steel sample using minor hysteresis loop observations2007

    • Author(s)
      F.Kojima
    • Journal Title

      Studies in Applied Electromagnetics and Mechanics 27(印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Weak solutions of the equation of motion of membrane with strong viscosity2007

    • Author(s)
      J-S.Hwang, S.Nakagiri
    • Journal Title

      J. Korean Math. Soc. 44-2

      Pages: 443-453

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Pexiderized wavelike partial difference functional equation2007

    • Author(s)
      S.Haruki, S.Nakagiri
    • Journal Title

      Aequationes Mathematicae (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] On semi-linear second order Volterra integro-differential equations in Hilbert space2007

    • Author(s)
      J-S.Hwang, S.Nakagiri
    • Journal Title

      Taiwanese J Math. (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Boundary control of viscoelastic equations with long memory2007

    • Author(s)
      J-S.Hwang, S.Nakagiri
    • Journal Title

      Soochow J. Math. (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity2007

    • Author(s)
      Y.Naito, T.Suzuki
    • Journal Title

      Banach Center Publ., 74, 149-160, 2006 J. Differential Equations 232

      Pages: 176-211

    • NAID

      120000949622

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Positive solutions for semilinear elliptic equations with singular forcing terms2007

    • Author(s)
      Y.Naito, T.Sato
    • Journal Title

      J. Differential Equations 235

      Pages: 439-483

    • NAID

      120000943493

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Optimal rate of convergence to the motion by mean curvature with a driving force2007

    • Author(s)
      K.Ishii
    • Journal Title

      Advances in Differential Equations (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Quantitative evaluation of material degradation parameters using nonlinear magnetic inverse problems2007

    • Author(s)
      F.Kojima, T.Fujioka
    • Journal Title

      Internat. J. of Applied Electromagnetics and Mechanics (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Nondestructive evaluation for material degradation of steel sample using minor hysteresis loop observations2007

    • Author(s)
      F.Kojima, R.Nishiyama
    • Journal Title

      Studies in Applied Electromagnetics and Mechanics (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Applied Electromagnetics and Mechanics2007

    • Author(s)
      F.Kojima, D.V.Phong
    • Journal Title

      Science and Technology Publishing House

      Pages: 1-555

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Stationary solutions to forest kinematic model'2007

    • Author(s)
      L-H.Chuan, T.Tsujikawa, A.Yagi
    • Journal Title

      Glasgow Math. J. (in press)

    • NAID

      120005249166

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A Pexiderized wavelike partial difference functional equation2007

    • Author(s)
      S.Haruki
    • Journal Title

      Aequationes Mathematicae (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] On semi-linear second order Volterra integro-differential equations in Hilbert space2007

    • Author(s)
      J-S.Hwang
    • Journal Title

      Taiwanese Journal of Mathematics (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Boundary control of viscoelastic equations with long memory2007

    • Author(s)
      J-S.Hwang
    • Journal Title

      Soochow Journal of Mathematics (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Optimal rate of convergnece to the motion by mean curvature with a driving force2007

    • Author(s)
      K.Ishii
    • Journal Title

      Advances in Differential Equations (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Quantitative evaluation of material degradation parameters using nonlinear magnetic inverse problems2007

    • Author(s)
      F.Kojima
    • Journal Title

      International J. of Applied Electromagnetics and Mechanics (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Stationary solutions to forest kinematic model2007

    • Author(s)
      L-H.Chuan
    • Journal Title

      Glasgow Mathematics Journal (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Optimal control problems for semilinear evolution equations in Hilbert space2006

    • Author(s)
      S.Nakagiri
    • Journal Title

      Proc. of of the 5th Asian Sympo. on AEM, ASAEM 2005 (CD-ROM)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Optimal control problems for the equation of motion of membrane with strong viscosity2006

    • Author(s)
      J-S.Hwang
    • Journal Title

      Journal of Mathematical Analysis and Applications 321

      Pages: 327-342

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Numerical solutions of distributed diffusion Hopfield neural network equations2006

    • Author(s)
      Q-F.Wang
    • Journal Title

      Applied Mathematics and Computation 174-2

      Pages: 1343-1362

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Identification of constant parameters in perturbed sine-Gordon equations2006

    • Author(s)
      J-H. Ha
    • Journal Title

      Journal of Korean Mathematical Society 43-5

      Pages: 931-950

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Weak and strong solutions of isotropic viscoelastic materials with long nonlinear memory2006

    • Author(s)
      J-S.Hwang
    • Journal Title

      Scientiae Mathematicae Japonicae 64-1

      Pages: 45-60

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Partial difference functional equations arising from the Cauchy-Riemann equations2006

    • Author(s)
      S.Haruki
    • Journal Title

      Ann. Acad. Paedago. Cracov., Studia Mathematica V 33

      Pages: 59-76

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Frechet differentiability of solution mappings for semilinear evolution equations2006

    • Author(s)
      S.Nakagiri
    • Journal Title

      Dynamics of Continuous, Dicrete and Impulsive Systems, Ser A 13B

      Pages: 211-224

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] 強い減衰を持つ非線形波動方程式に現れる空間変数係数の同定問題2006

    • Author(s)
      中桐信一
    • Journal Title

      第49回自動制御連合講演会講演論文集 (CD-ROM)

    • NAID

      130004600020

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A geometrical similarity between migration of human population and diffusion of biological particles2006

    • Author(s)
      M.Tabata
    • Journal Title

      Nonlinear Analysis : Real World Applications 7-4

      Pages: 872-894

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] An ODE approach to the multiplicity of self-similar solutions for semilinear heat equations2006

    • Author(s)
      Y.Naito
    • Journal Title

      Proc. Roy. Soc. Edinburgh Sect. A 136

      Pages: 807-835

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Asymptotically self-similar solutions for the parabolic systems modelling chemotaxis2006

    • Author(s)
      Y.Naito
    • Journal Title

      Banach Center Publications 74

      Pages: 149-160

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Identification of Multiple Cracks for SQUID-based NDE Systems using Virus-Evolutionary Computation2006

    • Author(s)
      F.Kojima
    • Journal Title

      Studies in Applied Electromagnetics and Mechanics 26

      Pages: 128-135

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] L-Curve法と適応正則化併用法による磁気画像の形状識別同定法2006

    • Author(s)
      小島史男
    • Journal Title

      計測自動制御学会論文集 42-7

      Pages: 705-711

    • NAID

      10020531236

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] ECT Database and Greedy-Search Inverse Analysis for Crack Shape Recovery Arising in Eddy Current Testing2006

    • Author(s)
      F.Kojima
    • Journal Title

      Proc. of SICE-ICASE Conference 2006 (CD-ROM)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Exponential attractor for an adsorbate-induced phase transition model in non smooth domain2006

    • Author(s)
      Y.Takei
    • Journal Title

      Osaka Journal of Mathematics 43-1

      Pages: 215-237

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Complete abstract differential equations of elliptic type in UMD spaces2006

    • Author(s)
      A.Favini
    • Journal Title

      Funkcialaj Ekvacioj 49-2

      Pages: 193-214

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Fixed point of contraction and exponential attractors2006

    • Author(s)
      Y.Takei
    • Journal Title

      Scientiae Mathematicae Japonicae 64-1

      Pages: 543-550

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Lower estimate of attractor dimension for chemotaxis growth system2006

    • Author(s)
      M.Aida
    • Journal Title

      J. London Math. Soc. 74-2

      Pages: 453-474

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Dynamical system for forest kinematic model2006

    • Author(s)
      L-H.Chuan
    • Journal Title

      Advances in Mathematical Sciences and Applications 16-2

      Pages: 393-409

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions for forest kinematic model2006

    • Author(s)
      L-H.Chuan
    • Journal Title

      Funkcialaj Ekvacioj 49-3

      Pages: 427-449

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Optimal control problems for the equation of motion of membrane with strong viscosity2006

    • Author(s)
      J-S.Hwang, S.Nakagiri
    • Journal Title

      J. Math. Anal. Appl. 321

      Pages: 327-342

    • NAID

      120000941840

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Numerical solutions of distributed diffusion Hopfield neural network equations2006

    • Author(s)
      Q-F.Wang, S.Nakagiri
    • Journal Title

      Applied Mathematics and Computation 174-2

      Pages: 1343-1362

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Identification of constant parameters in perturbed sine-Gordon equations2006

    • Author(s)
      J-H.Ha, S.Nakagiri
    • Journal Title

      J. Korean Math. Soc. 43-5

      Pages: 931-950

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Weak and strong solutions of isotropic viscoelastic materials with long nonlinear memory2006

    • Author(s)
      J-S.Hwang, S.Nakagiri
    • Journal Title

      Scientiae Mathematicae Japonicae 43-5

      Pages: 45-60

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Partial difference functional equations arising from the Cauchy-Riemann equations2006

    • Author(s)
      S.Haruki, S.Nakagiri
    • Journal Title

      Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica V 33

      Pages: 59-76

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Frechet differentiability of solution mappings for semilinear evolution equations2006

    • Author(s)
      S.Nakagiri, H.Tanabe
    • Journal Title

      Dynamics of Continuous, Discrete and Impulsive Systems, Ser A : Mathematical Analysis, 13B, suppl.

      Pages: 211-224

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Identification problems of spatially varying coefficients in strongly damped nonlinear wave equations2006

    • Author(s)
      S.Nakagiri
    • Journal Title

      The 49th Japan Joint Automatic Control Conference, Kobe (2006) (CD-ROM)

    • NAID

      130004600020

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A geometrical Similarity between migration of human population and diffusion of biological particles2006

    • Author(s)
      M.Tabata, N.Eshima, I.Takagi
    • Journal Title

      Nonlinear Analysis : Real World Applications 7

      Pages: 872-894

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Asymptotically self-similar solutions for the parabolic systems modeling chemotaxis2006

    • Author(s)
      Y.Naito
    • Journal Title

      Banach Center Publ. 74

      Pages: 149-160

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Identification of multiple cracks for SQUID-based NDE systems using virus- evolutionary computation2006

    • Author(s)
      F.Kojima, H.Yabuki, N.Kubota
    • Journal Title

      Studies in Applied Electromagnetics and Mechanics 26

      Pages: 128-135

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Form identification of magnetic charge images using L-curve method and adaptive regularization method (in Japanese)2006

    • Author(s)
      F.Kojima, D.Eto, K.Ito
    • Journal Title

      Journal of the Society of Instrument and Control Engineers 42-7

      Pages: 705-711

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] ECT database and greedy-search inverse analysis for crack shape recovery arising in eddy current testing2006

    • Author(s)
      F.Kojima, N.T.Duong
    • Journal Title

      Proc. of SICE-ICASE Joint Internat. Conf. (2006) (CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Exponential attractor for an adsorbate-induced phase transition model in non smooth domain2006

    • Author(s)
      Y.Takei, M.Efendiev, T.Tsujikawa, A.Yagi
    • Journal Title

      Osaka J. Math. 43-1

      Pages: 215-237

    • NAID

      120007123297

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Study of elliptic differential equations in UMD spaces2006

    • Author(s)
      A.Favini, R.Labbas, S.Maingot, H.Tanabe, A.Yagi
    • Journal Title

      Differential Equations, Inverse and Direct Problems (eds A. Favini and A. Lorenzi) (Chapman and Hall/CRC)

      Pages: 73-89

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Exponential attractors for semiconductor equations2006

    • Author(s)
      A.Favini, A.Lorenzi, A.Yagi
    • Journal Title

      Differential Equations, Inverse and Direct Problems (eds A. Favini and A. Lorenzi) (Chapman and Hall/CRC)

      Pages: 111-130

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Fixed point of contraction and exponential attractors2006

    • Author(s)
      Y.Takei, A.Yagi
    • Journal Title

      Scientiae Math. Japonicae 64-1

      Pages: 543-550

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Complete abstract differential equations of elliptic type in UMD spaces2006

    • Author(s)
      A.Favini, R.Labbas, S.Maingot H.Tanabe, A.Yagi
    • Journal Title

      Funkcial. Ekvac. 49-2

      Pages: 193-214

    • NAID

      130000140665

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Lower estimate of attractor dimension for chemotaxis growth system2006

    • Author(s)
      A.Aida, T.Tsujikawa, M.Efendiev, A.Yagi, M.Mimura
    • Journal Title

      J. London Math. Soc. 74-2

      Pages: 453-474

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Dynamical system for forest kinematic model2006

    • Author(s)
      L-H.Chuan, A.Yagi
    • Journal Title

      Adv. Math. Sci. Appl. 16-2

      Pages: 393-409

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions for forest kinematic model2006

    • Author(s)
      L-H.Chuan, T.Tsujikawa, A.Yagi
    • Journal Title

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    • NAID

      130000140675

    • Description
      「研究成果報告書概要(欧文)」より
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      130004600020

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      Mem. Grad. School Sci. & Technol., Kobe Univ. 23-A

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    • Description
      「研究成果報告書概要(和文)」より
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      Journal of Mathematical Analysis and Applications 310

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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      SIAM J. Math. Anal. 4-3

      Pages: 841-866

    • NAID

      120000949789

    • Description
      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      Osaka Journal of Mathematics 42-2

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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      Mem. Grad. School Sci. & Technol., Kobe Univ.

      Pages: 1-17

    • NAID

      110001132577

    • Description
      「研究成果報告書概要(欧文)」より
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      2006 Final Research Report Summary
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      J. Math. Anal. Appl. 310

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      「研究成果報告書概要(欧文)」より
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      2006 Final Research Report Summary
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    • Description
      「研究成果報告書概要(欧文)」より
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      2006 Final Research Report Summary
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      Proc. of the 5th Asian Sympo. on Ap- plied Electromagnetics and Mechanics (ASAEM 2005) (CD-ROM)

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      「研究成果報告書概要(欧文)」より
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      Communications on Pure and Applied Analysis 4

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      「研究成果報告書概要(欧文)」より
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      「研究成果報告書概要(欧文)」より
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      Transactions of the Japan Society for Computational Method in engineering 5

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    • Description
      「研究成果報告書概要(欧文)」より
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      2006 Final Research Report Summary
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      「研究成果報告書概要(欧文)」より
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      「研究成果報告書概要(欧文)」より
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      「研究成果報告書概要(欧文)」より
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      「研究成果報告書概要(欧文)」より
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      「研究成果報告書概要(欧文)」より
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      「研究成果報告書概要(欧文)」より
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      130007377058

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      「研究成果報告書概要(欧文)」より
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      Pages: 323-336

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      120005285846

    • Description
      「研究成果報告書概要(欧文)」より
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      Journal of Mathematical Society of Japan 57-1

      Pages: 167-181

    • NAID

      120005285846

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      「研究成果報告書概要(欧文)」より
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    • Description
      「研究成果報告書概要(欧文)」より
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      「研究成果報告書概要(欧文)」より
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      Pages: 385-406

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      120004839709

    • Description
      「研究成果報告書概要(欧文)」より
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    • Description
      「研究成果報告書概要(欧文)」より
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      Mem.Grad.School Sci.& Technol.(Kobe Univ.) 23-A

      Pages: 1-17

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    • Author(s)
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      Journal of Mathematical Analysis and Applications 310

      Pages: 518-532

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      SIAM J.Math.Anal. 4-3

      Pages: 841-866

    • NAID

      120000949789

    • Related Report
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      Pages: 299-304

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    • Author(s)
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      Journal of Mathematical Society of Japan 57-1

      Pages: 167-181

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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      Pages: 585-603

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      「研究成果報告書概要(和文)」より
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      Pages: 919-931

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      120000941486

    • Description
      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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    • NAID

      120000945820

    • Description
      「研究成果報告書概要(和文)」より
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    • Description
      「研究成果報告書概要(和文)」より
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      「研究成果報告書概要(和文)」より
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      Funkcial Ekvacioj 47-2

      Pages: 205-224

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] Global stability of approximation for exponential attractors2004

    • Author(s)
      M.Aida
    • Journal Title

      Funkcial Ekvacioj 47-2

      Pages: 251-276

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2004 Annual Research Report
  • [Journal Article] On solvable operators which imply the general solution of a polygonal functional equation on the real plane2004

    • Author(s)
      S.Haruki, S.Nakagiri
    • Journal Title

      Aequationes Mathematicae 67-1

      Pages: 169-174

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Identification problems for the damped Klein-Gordon equations2004

    • Author(s)
      J-H.Ha, S.Nakagiri
    • Journal Title

      Journal of Mathematical Analysis and Applications 289-1

      Pages: 77-89

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Optimal control problems for non- linear hyperbolic distributed parameter systems2004

    • Author(s)
      J-H.Ha, S.Nakagiri
    • Journal Title

      Funkcial. Ekvac. 47-1

      Pages: 1-23

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Constant parameter identification problems of coupled sine-Gordon equations2004

    • Author(s)
      S.Nakagiri, J-H.Ha
    • Journal Title

      Inverse Problems and Spectral Theory, Amer. Math. Soc. Publications CONM 348

      Pages: 135-150

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Optimal control for second order Volterra integro-differential equations in Hilbert space2004

    • Author(s)
      J-S.Hwang, S.Nakagiri
    • Journal Title

      Mem. Grad. School Sci. Technol., Kobe Univ. 22-A

      Pages: 77-90

    • NAID

      110000064071

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Identification problems for systems governed by nonlinear damped second order equations2004

    • Author(s)
      J-H.Ha, S.Nakagiri
    • Journal Title

      J. Korean Math. Soc. 41-3

      Pages: 435-459

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The behavior of stochastic agent- based models when the number of agents and the time variable tend to infinity2004

    • Author(s)
      M.Tabata, N.Eshima
    • Journal Title

      Applied Mathematics and Computation 152

      Pages: 47-70

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The Fokker-Planck equation and the master equation in the theory of migration2004

    • Author(s)
      M.Tabata, N.Eshima
    • Journal Title

      IMA Journal of Applied Mathematics 69

      Pages: 585-603

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations2004

    • Author(s)
      Y.Naito, S.Tanaka
    • Journal Title

      Nonlinear Analysis, TMA 56

      Pages: 919-935

    • NAID

      120000941486

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Self-similar solutions to a nonlinear parabolic-elliptic system2004

    • Author(s)
      Y.Naito, T.Suzuki
    • Journal Title

      Taiwanese J. Math. 8

      Pages: 43-55

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Non-uniqueness of solutions to the Cauchy problem for semilinear heat equations with singular initial data2004

    • Author(s)
      Y.Naito
    • Journal Title

      Math. Ann. 329

      Pages: 161-196

    • NAID

      120000945820

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Reconstruction of magnetic charge densities using regularization of bounded variations under noisy observations2004

    • Author(s)
      F.Kojima, K.Ito
    • Journal Title

      J. International Journal of Applied Electromagnetics and Mechanics 19-1

      Pages: 309-313

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Strategy determination by statistical technique in automatic conveyance system (in Japanese)2004

    • Author(s)
      F.Kobayashi, Y.Yasuda, F.Kojima
    • Journal Title

      Journal of the Institute of Systems, Control and Information Engineers 17-5

      Pages: 202-210

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Target pattern solutions for chemotaxis-growth system2004

    • Author(s)
      M.Aida, A.Yagi
    • Journal Title

      Scientiae Math. Japonicae 59-3

      Pages: 577-590

    • NAID

      10013664267

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Quasilinear degenerate evolution equations in Banach spaces2004

    • Author(s)
      A.Favini, A.Yagi
    • Journal Title

      J. Evolution Equations 4-3

      Pages: 421-449

    • NAID

      120005285847

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] On the solvability of complete abstract differential equations of elliptic type2004

    • Author(s)
      A.Favini, R.Labbas, H.Tanabe, A.Yagi
    • Journal Title

      Funkcial. Ekvac. 47-2

      Pages: 205-224

    • NAID

      130000141159

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Global stability of approximation for exponential attractor2004

    • Author(s)
      M.Aida, A.Yagi
    • Journal Title

      Funkcial. Ekvac. 47-2

      Pages: 251-276

    • NAID

      130000141161

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Quasilinear abstract parabolic evolution equations, non autonomous case2004

    • Author(s)
      A.Yagi
    • Journal Title

      Contemporary Differential Equations and Applications (eds. Y. J. Cho, J. K. Kim and K. S. Ha) (Nova Science, New York)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] On the solvability and the maximal regularity of complete abstract differential equations of elliptic type2004

    • Author(s)
      A.Favini, R.Labbas, S.Maingot, H.Tanabe, A.Yagi
    • Journal Title

      Funkcial. Ekvac. 47-3

      Pages: 423-452

    • NAID

      130000141205

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Identification problems for the damped Klein-Gordon equations2004

    • Author(s)
      J-H.Ha
    • Journal Title

      Journal of Mathematical Analysis and Applications 289-1

      Pages: 77-89

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Optimal control for second order Volterra integro-differential equations in Hilbert space2004

    • Author(s)
      J-S.Hwang
    • Journal Title

      Mem.Grad.School Sci.& Technol., Kobe Univ. 22-A

      Pages: 77-90

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Optimal control problems for nonlinear hyperbolic distributed parameter systems with damping terms2004

    • Author(s)
      J-H.Ha
    • Journal Title

      Funkcial Ekvacioj 47-1

      Pages: 1-23

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Identification problems for systems governed by nonlinear damped second order equations2004

    • Author(s)
      J-H.Ha
    • Journal Title

      Journal of Korean Mathematical Society 41-3

      Pages: 435-459

    • Related Report
      2004 Annual Research Report
  • [Journal Article] On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations2004

    • Author(s)
      Y.Naito
    • Journal Title

      Nonlinear Analysis.TMA 56-6

      Pages: 919-931

    • NAID

      120000941486

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Non-uniqueness of solutions to the Cauchy problem for semilinear heat equations with singular initial data2004

    • Author(s)
      Y.Naito
    • Journal Title

      Mathematische Annalen 329-1

      Pages: 161-196

    • NAID

      120000945820

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Self-similar solutions to a nonlinear parabolic-elliptic system2004

    • Author(s)
      Y.Naito
    • Journal Title

      Taiwanese J.Mathematics 8-1

      Pages: 43-55

    • Related Report
      2004 Annual Research Report
  • [Book] Applied Electromagnetics and Mechanics2006

    • Author(s)
      F.Kojima
    • Total Pages
      555
    • Publisher
      Science and Technology Publishing House
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary

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Published: 2004-04-01   Modified: 2016-04-21  

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