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Structural Analysis on Exponential Attractors for Dissipative Systems

Research Project

Project/Area Number 20340035
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

YAGI Atsushi  大阪大学, 情報科学研究科, 教授 (70116119)

Co-Investigator(Kenkyū-buntansha) KASAI Hideaki  大阪大学, 大学院・工学研究科, 教授 (00177354)
NAGAI Hideo  大阪大学, 大学院・基礎工学研究科, 教授 (70110848)
Co-Investigator(Renkei-kenkyūsha) TSUJIKAWA Toru  宮崎大学, 工学部, 教授 (10258288)
OSAKI Kouichi  関西学院大学, 理工学部, 教授 (40353320)
Project Period (FY) 2008 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥12,220,000 (Direct Cost: ¥9,400,000、Indirect Cost: ¥2,820,000)
Fiscal Year 2012: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2010: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2008: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Keywords散逸系 / 力学系 / アトラクタ / 確率微分方程式 / 拡散方程式 / 自己組織化 / 確立微分方程式
Research Abstract

Theoretically we have contributed to devising new methods for construction of exponential attractors for finite and infinite dimensional dynamical systems and new schemes for discretization of advection-reaction-diffusion equations. We have then applied these results to various mathematical models in the real world, that is, construction of exponential attractors for the termite mound building, numerical computation for the tumor induced angiogenesis to investigate behavior of the endothelial cell front, proof of existence of forest natural boundaries forthe forest ecosystem together with their dependence on the forest parameters.

Report

(7 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report   Self-evaluation Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (83 results)

All 2013 2012 2011 2010 2009 2008 Other

All Journal Article (44 results) (of which Peer Reviewed: 39 results) Presentation (23 results) (of which Invited: 2 results) Book (10 results) Remarks (6 results)

  • [Journal Article] Behavior of solutions to some mathematical model for angiogenesis, Proc. Seminar on Partial Differential Equations in Osaka 20122013

    • Author(s)
      D. D. Hai and A. Yagi
    • Journal Title

      Osaka University

      Pages: 131-140

    • URL

      http://hdl.handle.net/11094/24563

    • Related Report
      2012 Final Research Report
  • [Journal Article] Refined properties of evolution operator under Kato-Tanabe conditions, Proc. Seminar on Partial Differential Equations in Osaka 20122013

    • Author(s)
      A. Yagi
    • Journal Title

      Osaka University

      Pages: 131-140

    • URL

      http://hdl.handle.net/11094/24563

    • Related Report
      2012 Final Research Report
  • [Journal Article] Optimization scheme based on differential equation model for animal swarming2013

    • Author(s)
      Takeshi Uchitane
    • Journal Title

      Open Journal of Optimization

      Volume: 未定

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An ordinary differentialequation model for fish schooling2012

    • Author(s)
      T. Uchitane, T. V. Ton and A. Yagi
    • Journal Title

      Sci. Math. Jpn

      Volume: 75(3) Pages: 339-350

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Functional calculus of linear operators2012

    • Author(s)
      A. Yagi
    • Journal Title

      Proc. Interactions between Real and Complex Analysis, Science and Techniques Publishing House, Ha Noi

      Pages: 171-184

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Maximal regularity of H lder type for abstract parabolic evolution equations2012

    • Author(s)
      A. Yagi
    • Journal Title

      Funkcial. Ekvac

      Volume: 55(3) Pages: 405-428

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Longtime behavior of solutions to chemotaxis- proliferation model with three variables2012

    • Author(s)
      D. D. Hai and A. Yagi
    • Journal Title

      Discrete Contin. Dynam. Systems

      Volume: 32 (11) Pages: 3957-3974

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Longtime behavior of solutions to chemotaxis-proliferation model with three varables2012

    • Author(s)
      Doan Duy Hay
    • Journal Title

      Discrete Contin. Dynam. Systems

      Volume: 32 Pages: 3957-3974

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maximal regularity of Holder type for abstract parabolic evolution equations2012

    • Author(s)
      Atsushi Yagi
    • Journal Title

      Funkcial. Ekvac.

      Volume: 55 Pages: 405-428

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dynamic of a stochastic predator-prey population2011

    • Author(s)
      A. Yagi and T. V. Ton
    • Journal Title

      Applied Math. Comm

      Volume: 218 Pages: 3100-3109

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] On the longtime behavior of solutions to a model for epitaxial growth2011

    • Author(s)
      M. Graselli, G. Mola and A. Yagi
    • Journal Title

      Osaka J. Math

      Volume: 48(4) Pages: 987-1004

    • NAID

      120005986537

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions to stochastic phase transition model2011

    • Author(s)
      T. V. Ton, Y. Yamamoto, N. H. Du and A. Yagi
    • Journal Title

      Sci. Math. Jpn.

      Volume: 73(2&3) Pages: 143-156

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exponential attractors for non-autonomous dissipative system2011

    • Author(s)
      M. Efendiev, Y. Yamamoto and A. Yagi
    • Journal Title

      J. Math. Soc. Japan

      Volume: 63(2) Pages: 647-673

    • NAID

      10029321756

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of stochastic predator-prey model with the Beddington-Deangelis functional response2011

    • Author(s)
      T. V. Ton and A. Yagi
    • Journal Title

      Comm. Stochastic Anal

      Volume: 5(2) Pages: 371-386

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exponential Attractors2011

    • Author(s)
      A. Yagi
    • Journal Title

      AMS Sugaku Exposition

      Volume: 24(2) Pages: 183-204

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dynamics of stochastic predator-prey model with the Beddington-Deangelis function response2011

    • Author(s)
      T.V.Ton, A.Yagi
    • Journal Title

      Communication of Stochastic Anal.sis

      Volume: 5 Pages: 371-386

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions to stochastic phase transition model2011

    • Author(s)
      T.V.Ton, Y.Yamamoto, N.H.Duu, A.Yagi
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: 73 Pages: 143-156

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the longtime behavior of solutions to a model for epitaxial growth2011

    • Author(s)
      M.Graselli, G.Mola, A.Yagi
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 48 Pages: 987-1004

    • NAID

      120005986537

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Exponential attractors for nonautonomous dissipative system2011

    • Author(s)
      M.Efendiev, Y.Yamamoto, A.Yagi
    • Journal Title

      J.Math.Soc.Japan 63

      Pages: 647-673

    • NAID

      10029321756

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Exponential attractors for non-autonomous dissipative system2011

    • Author(s)
      M.Efendiev, Y.Yamamoto, A.Yagi
    • Journal Title

      Journal Mathematical Society Japan

      Volume: 63 Pages: 647-673

    • NAID

      10029321756

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Open problems in forest model2010

    • Author(s)
      A. Yagi
    • Journal Title

      Proc. Workshop on Methods of Modern Mathematical Analysis and Applications, Hanoi

      Pages: 1-9

    • Related Report
      2012 Final Research Report
  • [Journal Article] On the longtime behavior of solutions to a model for epitaxial growth2010

    • Author(s)
      M.Grasselli, G.Mola, A.Yagi
    • Journal Title

      Proc.Minisemester on Evolution of Interfaces, Sapporo 2010

      Pages: 69-73

    • NAID

      120005986537

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Open problems in forest Model2010

    • Author(s)
      A.Yagi
    • Journal Title

      Proc.Workshop on Methods of Mordern Analysis and Applications, Hanoi 2010

      Pages: 1-9

    • Related Report
      2010 Annual Research Report
  • [Journal Article] Exponential attractors for Belousov- Zhabotinskii reaction model2009

    • Author(s)
      A. Yagi, K. Osaki and T. Sakurai
    • Journal Title

      Discrete Contin. Dynam. Systems Supplement

      Volume: 2009 Pages: 846-856

    • NAID

      120005249165

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Numerical computations and pattern formation for chemotaxis-growth model2009

    • Author(s)
      D. D. Hai and A. Yagi
    • Journal Title

      Sci. Math. Jpn.

      Volume: 70(2) Pages: 205-211

    • NAID

      10025867811

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] A forest model with memory2009

    • Author(s)
      G. Mola and A. Yagi
    • Journal Title

      Funkcial. Ekvac

      Volume: 52(1) Pages: 19-40

    • NAID

      130000140720

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stationary solutions to forest kinematic model2009

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

      Glasgow Math. J.

      Volume: 51 Pages: 1-17

    • NAID

      120005249166

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] 指数アトラクタ2009

    • Author(s)
      八木厚志
    • Journal Title

      数学

      Volume: 61(2) Pages: 187-208

    • NAID

      10024906719

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exponential attractors for Belousov-Zhabotinskii reaction model2009

    • Author(s)
      A.Yagi, K.Osaki, K.Sakurai
    • Journal Title

      Discrete Contin. Dynam. Systems Supplement 2009

      Pages: 846-856

    • NAID

      120005249165

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Stationary solutions to forest kinematic model2009

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

      Glasgow Math.J. 51

      Pages: 1-17

    • NAID

      120005249166

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] A forest model with memory2009

    • Author(s)
      G.Mola, A.Yagi
    • Journal Title

      Funkcialaj Ekvacioj 52

      Pages: 19-40

    • NAID

      130000140720

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Homogeneous stationary solution for BCF model describing crystal surface growth2009

    • Author(s)
      H.Fujimura, A.Yagi
    • Journal Title

      Scientiae Mathematicae Japonicae 69

      Pages: 295-302

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical computations and pattern formation for chemotaxis-growth model2009

    • Author(s)
      D.D.Hai, A.Yagi
    • Journal Title

      Scientiae Mathematicae Japonnicae 70

      Pages: 205-211

    • NAID

      10025867811

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] stationary solutions to forest kinematic model2009

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

      Glasgow Math. Journal 51

      Pages: 1-17

    • NAID

      120005249166

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Free boundary problem in forest model2008

    • Author(s)
      A. Yagi
    • Journal Title

      Proc. Nonlinear Phenomena with Energy Dissipation, Gakkotosho

      Pages: 425-440

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] H functional calculus and characterization of domains of fractional powers2008

    • Author(s)
      A. Yagi
    • Journal Title

      "Operator Theory: Advances and Applications" Birkh user

      Pages: 217-235

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exponential attractors for competing species model with cross- diffusions2008

    • Author(s)
      A. Yagi
    • Journal Title

      Discrete Contin. Dynam. Systems

      Volume: 22(4) Pages: 1091-1120

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stationary solutions for forest kinematic model under Dirichlet conditions2008

    • Author(s)
      T. Shirai, L. H. Chuan and A. Yagi
    • Journal Title

      Sci. Math. Jpn.

      Volume: 67(3) Pages: 319-328

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exponential attractors for competing species model with crossdiffusions2008

    • Author(s)
      A.Yagi
    • Journal Title

      Discrete Contin.Dynam.Systems 22

      Pages: 1091-1120

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Journal Article] Exponential attractors for competing species model with cross-diffusions2008

    • Author(s)
      A. Yagi
    • Journal Title

      Discrete Contin. Dynam. System 22

      Pages: 1091-1120

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions for BCF model describingcrystal surface growth2008

    • Author(s)
      H. Fujimura, A. Yagi
    • Journal Title

      International Math. Forum 3

      Pages: 1803-1812

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Flocking and non-flocking behavior in a stochastic Cucker-Smale system

    • Author(s)
      T. V. Ton, N. T. H. Linh and A. Yagi
    • Journal Title

      Anal. Appli.

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Optimization scheme based on differential equation model for animal swarming

    • Author(s)
      T. Uchitane and A. Yagi
    • Journal Title

      Open Journal Optimization

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions to stochastic phase transition model

    • Author(s)
      T.V.Ton, Y.Yamamoto, N.H.Du, A.Yagi
    • Journal Title

      Sci.Math.Jpn to appear

    • Related Report
      2010 Self-evaluation Report
    • Peer Reviewed
  • [Presentation] Stochastic forest model2013

    • Author(s)
      A. Yagi
    • Organizer
      Conference on "Functional Analysis and Applications Evolution Equations and Control Theory "
    • Place of Presentation
      Kobe University
    • Year and Date
      2013-02-12
    • Related Report
      2012 Final Research Report
  • [Presentation] Stochastic forest model2013

    • Author(s)
      Atsushi Yagi
    • Organizer
      Functional Analysis and Applications
    • Place of Presentation
      Kobe University
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Longtime behavior of solutions to some mathematical model for angio- genesis2012

    • Author(s)
      A. Yagi
    • Organizer
      5th Polish-Japanese Days on "Nonlinear Analysis in Interdisciplinary Sciences Modeling, Theory and Simula- tions "
    • Place of Presentation
      Kansai Seminar House, Kyoto.
    • Year and Date
      2012-11-07
    • Related Report
      2012 Final Research Report
  • [Presentation] Functional calculus of linear operators2012

    • Author(s)
      A. Yagi
    • Organizer
      20th International Conference on "Finite and Infinite Dimensional Complex Analysis and Applications"
    • Place of Presentation
      Hanoi University of Science and Techno- logy
    • Year and Date
      2012-08-01
    • Related Report
      2012 Final Research Report
  • [Presentation] A Numerical method for chemotaxis model2012

    • Author(s)
      A. Yagi and D. D. Hai
    • Organizer
      Conference on "Evolution Equations, Related Topics and Applications"
    • Place of Presentation
      Waseda University.
    • Year and Date
      2012-03-20
    • Related Report
      2012 Final Research Report
  • [Presentation] A numerical method for chemotaxis model2012

    • Author(s)
      D.D.Hai, A.Yagi
    • Organizer
      Conference on Evolution Equations, Related Topics and Applications
    • Place of Presentation
      早稲田大学理工学部(招待講演)
    • Year and Date
      2012-03-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] A temporal discretization method for advection-diffusion-reaction equations2012

    • Author(s)
      Doan Duy Hai
    • Organizer
      Seminar on Partial Differential Equations in Osaka 2012
    • Place of Presentation
      Osaka University
    • Related Report
      2012 Annual Research Report
  • [Presentation] Longtime behavior of solutions to some mathematical model for angiogenesis2012

    • Author(s)
      Atsushi Yagi
    • Organizer
      5th Ploish-Japanese Days on Nonlinear Analysis in Interdisciplinary Sciences
    • Place of Presentation
      Kansai Seminar House, Kyoto
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Mathematical Model for Angiogenesis2011

    • Author(s)
      八木厚志
    • Organizer
      研究集会「放物型発展方程式とその応用」
    • Place of Presentation
      大阪大学
    • Year and Date
      2011-09-22
    • Related Report
      2012 Final Research Report
  • [Presentation] Open problems in forest model, Workshop2010

    • Author(s)
      A. Yagi
    • Organizer
      Workshop "Methods of Modern Mathema- tical Analysis and Applications"
    • Place of Presentation
      Hanoi University of Science
    • Year and Date
      2010-08-31
    • Related Report
      2012 Final Research Report
  • [Presentation] Open problems in forest model2010

    • Author(s)
      A.Yagi
    • Organizer
      Workshop "Methods of Modern Mathematical Analysis and Applications"
    • Place of Presentation
      Hanoi University of Science.
    • Year and Date
      2010-08-28
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Exponential attractors for non-autonomous chemotaxis systems2010

    • Author(s)
      A.Yagi
    • Organizer
      8^<th> International Conference held by American Institute of Mathematical Science
    • Place of Presentation
      ドレスデン大学(ドイツ)
    • Year and Date
      2010-05-27
    • Related Report
      2010 Annual Research Report
  • [Presentation] Exponential attractors for non-autonomous chemotaxis systems2010

    • Author(s)
      A. Yagi
    • Organizer
      8th AIMS International Conference on Dynamical Systems, Differential Equa- tions and Applications
    • Place of Presentation
      Dresden University.
    • Year and Date
      2010-05-25
    • Related Report
      2012 Final Research Report
  • [Presentation] Exponential attractors for non-autonomous chemotaxis systems2010

    • Author(s)
      A.Yagi
    • Organizer
      8^<th> AIMS International Conference "Dynamical Systems, Differential Equations, Applications"
    • Place of Presentation
      Dresden University.
    • Year and Date
      2010-05-25
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Dynamical system for activator-inhibitor model2009

    • Author(s)
      A. Yagi
    • Organizer
      Conference on "Evolution Equations, Related Topics and Applications" supported by JSPS and DFG
    • Place of Presentation
      Helmholt Zentrum M nchen.
    • Year and Date
      2009-09-08
    • Related Report
      2012 Final Research Report
  • [Presentation] Dynamical system for activator-inhibitor model2009

    • Author(s)
      A.Yagi
    • Organizer
      日本学術振興会支援「日独シンポジウム」
    • Place of Presentation
      (ドイツ ミュンヘン)ヘルムホルツセンター
    • Year and Date
      2009-09-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] Dynamical system for activator-inhibitor model2009

    • Author(s)
      A.Yagi
    • Organizer
      Conference "Evolution Equations, Related Topics and Applications"
    • Place of Presentation
      Helmholtz Center Munich.
    • Year and Date
      2009-09-07
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] 散逸系の数学的構造~その解明に向けて~2009

    • Author(s)
      八木厚志
    • Organizer
      日本数学会 2009 年度年会企画特別講演
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-26
    • Related Report
      2012 Final Research Report
  • [Presentation] 散逸系の数学的構造~その解明に向けて~2009

    • Author(s)
      八木厚志
    • Organizer
      日本数学会2009年度年会企画特別講演
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-26
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] 散逸系の数学的構造〜その解明に向けて〜2009

    • Author(s)
      八木厚志
    • Organizer
      日本数学会2009年度年会企画特別講演
    • Place of Presentation
      東京大学駒場キャンパス
    • Year and Date
      2009-03-26
    • Related Report
      2008 Annual Research Report
  • [Presentation] Finite-dimensional attractors for termite mound building model due to Brussels school2009

    • Author(s)
      A. Yagi
    • Organizer
      Tutorial Workshop on "Analytic Semigroups and Related Topics"
    • Place of Presentation
      Tokyo University
    • Year and Date
      2009-01-15
    • Related Report
      2012 Final Research Report
  • [Presentation] Finite-dimensional attracttors for termite mound building model due to Brussels school2009

    • Author(s)
      A.Yagi
    • Organizer
      Workshop "Analytic Semigroups and Related Topics"
    • Place of Presentation
      Tokyo University.
    • Year and Date
      2009-01-15
    • Related Report
      2010 Self-evaluation Report
  • [Presentation] Mathematical approach to mangrove geo-ecosystem2008

    • Author(s)
      A. Yagi
    • Organizer
      11thDe La Salle University-Osaka University Academic Research Workshop & Symposium
    • Place of Presentation
      De La Salle University.
    • Year and Date
      2008-09-01
    • Related Report
      2012 Final Research Report
  • [Book] Proceedings of Seminar on Partial Diffe- rential Equations in Osaka 20122013

    • Author(s)
      A. Yagi and Y. Yamamoto
    • Total Pages
      213
    • Publisher
      Osaka University
    • URL

      http://hdl.handle.net/11094/24563

    • Related Report
      2012 Final Research Report
  • [Book] Proceedings of Seminar Partial Differential Equations in Osaka 20122013

    • Author(s)
      Atsushi Yagi (編集)
    • Total Pages
      198
    • Publisher
      大阪大学学術情報庫 (OUKA)
    • Related Report
      2012 Annual Research Report
  • [Book] 放物型発展方程式とその応用(上)-可解性の理論-2011

    • Author(s)
      八木厚志
    • Total Pages
      387
    • Publisher
      岩波書店
    • Related Report
      2012 Final Research Report
  • [Book] 放物型発展方程式とその応用(下)-解の挙動と自己組織化-2011

    • Author(s)
      八木厚志
    • Total Pages
      369
    • Publisher
      岩波書店
    • Related Report
      2012 Final Research Report
  • [Book] 放物型発展方程式とその応用(上)~可解性の理論~2011

    • Author(s)
      八木厚志
    • Total Pages
      372
    • Publisher
      岩波書店
    • Related Report
      2010 Self-evaluation Report
  • [Book] 放物型発展方程式とその応用(下)~解の挙動と自己組織化~2011

    • Author(s)
      八木厚志
    • Total Pages
      360
    • Publisher
      岩波書店
    • Related Report
      2010 Self-evaluation Report
  • [Book] 放物型発展方程式とその応用(上・下巻)2011

    • Author(s)
      八木厚志
    • Total Pages
      760
    • Publisher
      岩波書店、岩波数学叢書
    • Related Report
      2010 Annual Research Report
  • [Book] Abstract Parabolic Evolution Equations and their Applications2010

    • Author(s)
      A. Yagi
    • Total Pages
      599
    • Publisher
      Springer, Berlin
    • Related Report
      2012 Final Research Report
  • [Book] Abstract Parabolic Evolution Equations and their Applications2009

    • Author(s)
      A.Yagi
    • Publisher
      Springer
    • Related Report
      2010 Self-evaluation Report 2009 Annual Research Report
  • [Book] Operator Theory : Advances and Applications2008

    • Author(s)
      A. Yagi
    • Total Pages
      19
    • Publisher
      Birkhauser
    • Related Report
      2008 Annual Research Report
  • [Remarks]

    • Related Report
      2012 Final Research Report
  • [Remarks] 八木厚志ホームページ

    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://www-nomo.ist.osaka-u.ac.jp/atsushi-yagi/index.html

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www-nomo.ist.osaka-u.ac.jp/atsushiyagi/index.html

    • Related Report
      2010 Self-evaluation Report
  • [Remarks]

    • URL

      http://www-nomo.ist.osaka-u.ac.jp/atsushi_yagi/index.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www-nomo.ist.osaka-u.ac.jp/atsushi_yagi/index.html

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2019-07-29  

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