1995 年度実績報告書

非線形解析とその応用

研究課題

研究課題/領域番号	07454021
研究種目	一般研究(B)
研究機関	千葉大学
研究代表者	吉田英信千葉大学, 理学部, 教授 (60009280)
研究分担者	河原田秀夫千葉大学, 工学部, 教授 (90010793) 蔵野正美千葉大学, 教育学部, 教授 (70029487) 稲葉尚志千葉大学, 理学部, 教授 (40125901) 安田正美千葉大学, 理学部, 教授 (00041244) 高木亮一千葉大学, 理学部, 教授 (00015562)
キーワード	非線形解析 / 相分離現象 / 最適制御問題 / 横断ハウスドルフ次元 / パーコレーションモデル / デイリクレ問題 / ノイマン問題 / 超局所解析
研究概要	I.各分担者の専門の分野における非線形な現象について、いろいろなシンポジュウや研究集会等に出席した、全国の多くの研究者との討論等を通じて、これまでに為されてきた数々の研究についての情報を収集・整理した。それらを他分野の分担者と共に数度にわたって検討し、同一、類似のものに、整理、分類した。また、一同で、同一、類似の現象がどの分野においてどのように研究されてきたかを整理・検討した。この過程で、後に述べられるところの多くの研究成果が得られた。こうして、昨年度始めに計画された、初期の目的はほぼ達成されたと思う。非線形の問題は、最近になってようやく研究され始めたばかりであり、我々の得た成果・情報は、非線形現象の多様さに比べて、微々たるものであることがこの共同研究を通じて痛感された。今回、他分野の分担者の助けと援助によって、各自の研究方法の上に、従来とは異なる視点が加えられ、個人の限界を打破する突破口とならんとしつつある。この研究を通して、共同で協力し助言しあった。単独では得られない新しい視点が得られ、改めて共同研究の大切さを実感させられた。各大学、各研究機関において、私たちと同様な主旨で、非線形問題が扱われつつある。ぶんたん者の度々の出張によって、今年度も多くの役立つ情報が得られたが、更に、より広範な研究者からの助言とアドヴァイスが必要であることがわかってきた。次年度も継続して多くの情報をあつめ、得られた成果を公表して、今後の研究の進展に寄与したい。

研究成果
(34件)

すべてその他

すべて文献書誌 (34件)

[文献書誌] H.Yoshida: "A type of uniqueness for the Dirichlet problem on a half-space with continuous data," Pacific J.Math.(to appear).
[文献書誌] H.Yoshida,I.Miyamoto,: "Solutions of the Dirichlet problem on a cone with continuous data" Journal of the Mathematical Society of Japan.
[文献書誌] T.Inada and P.Walczak: "Transverse Hausdorff dimension of codim-1 C^2-foliations" Fundamenta Mathematicae. (to appear).
[文献書誌] R.ISHIMURA: "The condition(s) of Kawai,the property of completely regular growth and the estimate of the micro-support of the complex of a convolution operator" Proceedings of the sixth intarnational colloguium on differential equations,Plovdiv,BULGARIA. (to appear).
[文献書誌] R.ISHIMURA: "The micro-support of the complex defined by a convolution operator in tube domains" Proceedings of Banach Cantre Symposium on Singularities and Differential Equations,. 33. (1995)
[文献書誌] Masami Kurano Youqiang Huang: "Average Reward Markov Decision Processes with Multiple Cost Constraints" Journal of Information & Optimization Sciences. Vol.16. 403-415 (1995)
[文献書誌] Tanemura,H.: "Critical behavior for a continuum percolation model," Proc.Seventh Japan-Russia Svmp on Probability Theory,. (to appear). (1995)
[文献書誌] Tanemura,H.: "A system of infinitely many mutually reflecting Brownian balls in R^d" Probabilty Theory and Related Fields.(to appear).
[文献書誌] 汪金芳・田栗正章: "ブートストラップ法-2標本問題からの考察" 統計数理. Vol.44(受理済). (1996)
[文献書誌] Y.Okada,H.Yamane.: "Acharacteristic Cauduy problem in the comolex domain" J.Math.Pures et oppl.(to appear).
[文献書誌] M.Nagisa: "Cocycle corjugacy of finary shifts on the hyperfinite factor of type II," Proc.Fourteenth. Symposium on Applied Functional Analyois. 123-127 (1995)
[文献書誌] M.Nagisa: "Stable rank of some full group C^*-clgebas of groups oftalned by the free product" International Journal of Malteuiatics. (to appear).
[文献書誌] M.Kurano,M.Yasuda,J.Nakagami,Y.Yoshida: "Markov-type fuzzy decision processes with a discounted reward on a closed interval," European Journal of Oprational Research,. (to appear).
[文献書誌] M.Yasuda: "Explicit optimal value for Dynkin′s stopping Game," Mathl.Comput.Modelling,. Vol.22. 313-324 (1995)
[文献書誌] J.Li,M.Yasuda,Q.Jiang,H.Suzuki,Z.Wang,G.J.KLir;: "Convergence of sequence of measurable functions of fuzzy measure space" Fuzzy Sets and Systems. (to appear).
[文献書誌] Q.Jiang,H.Suzuki,Z.Wang,G.J.Klir,J.Li,M.Yasuda: "Property(p.g.p.)of Fuzzy Measures and Convergence in Measure," The Journal of Fuzzy Mathematics,. Vol.3. 669-710 (1995)
[文献書誌] I.Miyamoto: "Harmonic functions in a cylinder which vanish on the boundary," Japanese J.Math.,. 1996 (22(2))
[文献書誌] I.Miyamoto: "A type of uniqueness of solutions for the Dirichlet problem on a cylinder," Tohoku Math.J.(to appear).
[文献書誌] H,Fujita,H.Kawahara,H.Kawarada.: "Distribution theoretic approach to fictitious domain method for Noumann problems" East-West J.Numer.Math. Vol.3. 111-126 (1995)
[文献書誌] H.Kawarada.H.Koshigoe.A.Sasamoto.: "On Penctration phenomenon of magnetic ficld into superconducting mathcrials(Modcling and simulation)" Mathematical and Numcrial Aspects of Wavc propagation INRIA SIAM. 385-394 (1995)
[文献書誌] H.Fujita,H.Kawarada A.Sasamoto: "Analytical and numerical approachcs to statinary fow problems with lesak and slip boundary conditions." Lecturc Notcs in Num.Appl.Anal.22GD21:14. 17-31 (1995)
[文献書誌] B.Dacorogna H.Koshigoe.: "The quasiconvex cnvclope of the Saint Venant-Kirchhoff stored energy function in dimention 2" Analyse et Analyse numcrique. Nr.08.95. (1995)
[文献書誌] T.Tsutsui: "Interaction of regular singularities in linear propagation" Kyuhu J.Math.49. 331-404 (1995)
[文献書誌] N.Kenmochi M.Niezgodka: "Viscosity approach to modelling non-isothermal diffusive phase separation" Japan J.Industrial Appl.Math.Vol.13. 135-169 (1996)
[文献書誌] N.Kenmochi.M.Niezgodka,I.Pawlow: "Subdifferential operator approach to the Cahn-Hilliard equation with constraint" J.Differential Equations. Vol.117. 320-356 (1995)
[文献書誌] N.Kenmochi,M.Niezgodka S.Zheng: "Global attractor of a non-isothermal model for phase separation" Gakuto Intern.Ser.Math.Sci.Vol.5. 129-143 (1995)
[文献書誌] N.Kenmochi: "Uniqueness of the solution to a nonlinear system arising in phase transition" Gakuto Intern.Ser.Math.Sci.Vol.7. 261-271 (1995)
[文献書誌] J.Shirihzu,N.Sato N.Kenmochi: "Asymptotic convergence in models for phase change problems" Gakuto Intern.Ser.Math.Sci.Vol.7. 361-385 (1995)
[文献書誌] Wang,J.and Taguri,M.: "Jackknifing:higher order accurate cenfidence intervals" Journal of the Japan Statistical Society. Vol.26(受理済). (1996)
[文献書誌] Wang,J.,Ohuchi,S.and Taguri,M.: "Higher order accurate confidence internals for smooth funclions of means with application to the conelction coeffiend" Journal of Saiety of Computational Statistics. Vol.8(受理済). (1996)
[文献書誌] R.Takagi,U-Hang Ki,T.Takahashi: "On some CR oubmanifolds uvith parallel mean curvature vector field in a umplex space form" Nihonkai Math.J.6. 215-226 (1995)
[文献書誌] R Takagi Y-W.Choe H.S.Kim I-B.Kim: "Rigidity theorems fer real typersurfaces in a complex pojective space" Hokkaido Math.J. (to appear).
[文献書誌] Y.Hino,S.Murakami: "Stability properties in abstract linear functional differential eguations with infinite deloy" WSSIAA(Dynamical sustoms and Applications. 329-341 (1995)
[文献書誌] Y.Hino,S.Murakami: "Existence of an almoet periodic linear functional difforential equations with infinite clelay" Dynamical systems and applications. (to appear).

1995 年度 実績報告書

非線形解析とその応用

研究代表者

吉田 英信 千葉大学, 理学部, 教授 (60009280)

研究成果

[文献書誌] H.Yoshida: "A type of uniqueness for the Dirichlet problem on a half-space with continuous data," Pacific J.Math.(to appear).

[文献書誌] H.Yoshida,I.Miyamoto,: "Solutions of the Dirichlet problem on a cone with continuous data" Journal of the Mathematical Society of Japan.

[文献書誌] T.Inada and P.Walczak: "Transverse Hausdorff dimension of codim-1 C^2-foliations" Fundamenta Mathematicae. (to appear).

[文献書誌] R.ISHIMURA: "The condition(s) of Kawai,the property of completely regular growth and the estimate of the micro-support of the complex of a convolution operator" Proceedings of the sixth intarnational colloguium on differential equations,Plovdiv,BULGARIA. (to appear).

[文献書誌] R.ISHIMURA: "The micro-support of the complex defined by a convolution operator in tube domains" Proceedings of Banach Cantre Symposium on Singularities and Differential Equations,. 33. (1995)

[文献書誌] Masami Kurano Youqiang Huang: "Average Reward Markov Decision Processes with Multiple Cost Constraints" Journal of Information & Optimization Sciences. Vol.16. 403-415 (1995)

[文献書誌] Tanemura,H.: "Critical behavior for a continuum percolation model," Proc.Seventh Japan-Russia Svmp on Probability Theory,. (to appear). (1995)

[文献書誌] Tanemura,H.: "A system of infinitely many mutually reflecting Brownian balls in R^d" Probabilty Theory and Related Fields.(to appear).

[文献書誌] 汪 金芳・田栗正章: "ブートストラップ法-2標本問題からの考察" 統計数理. Vol.44(受理済). (1996)

[文献書誌] Y.Okada,H.Yamane.: "Acharacteristic Cauduy problem in the comolex domain" J.Math.Pures et oppl.(to appear).

[文献書誌] M.Nagisa: "Cocycle corjugacy of finary shifts on the hyperfinite factor of type II," Proc.Fourteenth. Symposium on Applied Functional Analyois. 123-127 (1995)

[文献書誌] M.Nagisa: "Stable rank of some full group C^*-clgebas of groups oftalned by the free product" International Journal of Malteuiatics. (to appear).

[文献書誌] M.Kurano,M.Yasuda,J.Nakagami,Y.Yoshida: "Markov-type fuzzy decision processes with a discounted reward on a closed interval," European Journal of Oprational Research,. (to appear).

[文献書誌] M.Yasuda: "Explicit optimal value for Dynkin′s stopping Game," Mathl.Comput.Modelling,. Vol.22. 313-324 (1995)

[文献書誌] J.Li,M.Yasuda,Q.Jiang,H.Suzuki,Z.Wang,G.J.KLir;: "Convergence of sequence of measurable functions of fuzzy measure space" Fuzzy Sets and Systems. (to appear).

[文献書誌] Q.Jiang,H.Suzuki,Z.Wang,G.J.Klir,J.Li,M.Yasuda: "Property(p.g.p.)of Fuzzy Measures and Convergence in Measure," The Journal of Fuzzy Mathematics,. Vol.3. 669-710 (1995)

[文献書誌] I.Miyamoto: "Harmonic functions in a cylinder which vanish on the boundary," Japanese J.Math.,. 1996 (22(2))

[文献書誌] I.Miyamoto: "A type of uniqueness of solutions for the Dirichlet problem on a cylinder," Tohoku Math.J.(to appear).

[文献書誌] H,Fujita,H.Kawahara,H.Kawarada.: "Distribution theoretic approach to fictitious domain method for Noumann problems" East-West J.Numer.Math. Vol.3. 111-126 (1995)

[文献書誌] H.Kawarada.H.Koshigoe.A.Sasamoto.: "On Penctration phenomenon of magnetic ficld into superconducting mathcrials(Modcling and simulation)" Mathematical and Numcrial Aspects of Wavc propagation INRIA SIAM. 385-394 (1995)

[文献書誌] H.Fujita,H.Kawarada A.Sasamoto: "Analytical and numerical approachcs to statinary fow problems with lesak and slip boundary conditions." Lecturc Notcs in Num.Appl.Anal.22GD21:14. 17-31 (1995)

[文献書誌] B.Dacorogna H.Koshigoe.: "The quasiconvex cnvclope of the Saint Venant-Kirchhoff stored energy function in dimention 2" Analyse et Analyse numcrique. Nr.08.95. (1995)

[文献書誌] T.Tsutsui: "Interaction of regular singularities in linear propagation" Kyuhu J.Math.49. 331-404 (1995)

[文献書誌] N.Kenmochi M.Niezgodka: "Viscosity approach to modelling non-isothermal diffusive phase separation" Japan J.Industrial Appl.Math.Vol.13. 135-169 (1996)

[文献書誌] N.Kenmochi.M.Niezgodka,I.Pawlow: "Subdifferential operator approach to the Cahn-Hilliard equation with constraint" J.Differential Equations. Vol.117. 320-356 (1995)

[文献書誌] N.Kenmochi,M.Niezgodka S.Zheng: "Global attractor of a non-isothermal model for phase separation" Gakuto Intern.Ser.Math.Sci.Vol.5. 129-143 (1995)

[文献書誌] N.Kenmochi: "Uniqueness of the solution to a nonlinear system arising in phase transition" Gakuto Intern.Ser.Math.Sci.Vol.7. 261-271 (1995)

[文献書誌] J.Shirihzu,N.Sato N.Kenmochi: "Asymptotic convergence in models for phase change problems" Gakuto Intern.Ser.Math.Sci.Vol.7. 361-385 (1995)

[文献書誌] Wang,J.and Taguri,M.: "Jackknifing:higher order accurate cenfidence intervals" Journal of the Japan Statistical Society. Vol.26(受理済). (1996)

[文献書誌] Wang,J.,Ohuchi,S.and Taguri,M.: "Higher order accurate confidence internals for smooth funclions of means with application to the conelction coeffiend" Journal of Saiety of Computational Statistics. Vol.8(受理済). (1996)

[文献書誌] R.Takagi,U-Hang Ki,T.Takahashi: "On some CR oubmanifolds uvith parallel mean curvature vector field in a umplex space form" Nihonkai Math.J.6. 215-226 (1995)

[文献書誌] R Takagi Y-W.Choe H.S.Kim I-B.Kim: "Rigidity theorems fer real typersurfaces in a complex pojective space" Hokkaido Math.J. (to appear).

[文献書誌] Y.Hino,S.Murakami: "Stability properties in abstract linear functional differential eguations with infinite deloy" WSSIAA(Dynamical sustoms and Applications. 329-341 (1995)

[文献書誌] Y.Hino,S.Murakami: "Existence of an almoet periodic linear functional difforential equations with infinite clelay" Dynamical systems and applications. (to appear).

1995 年度実績報告書

吉田英信千葉大学, 理学部, 教授 (60009280)

[文献書誌] 汪金芳・田栗正章: "ブートストラップ法-2標本問題からの考察" 統計数理. Vol.44(受理済). (1996)