非線型偏微分方程式の理論と応用

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2K-5 フ PO

数理解析研究所講究録 545

非線型偏微分方程式の理論と応用

禁帯出期間

60 ・ 2 ・ 27 pt 3 e-6

数研図書室

京都大学数理解析研究所

1985 年 1 月

タク

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Preface

In the spnng of l984, Prof. Gu Chao-hao of Fudan Univer- sity, Shanghai, P.R.C. and Prof. Tosio Kato of Umversity of California, Berkeiey, U.S.A. have visited Japan on invitations by JSPS. Taking this opportumty, a RIMS seminar was organized with the title ”Theory and Applications of Nonlinear Partial Differential Equations” in order to promote the scientific exchange between those two eminent forexgn professors and the Japanese mathematical publicr and in order to contnbute to vital aspects of the relevant fields. Thxs booklet contains all papers, only one being an abstractr which were delivered at the seminar on vanous topics whzch surely reflect the diver- sity of current studies of nonlinear problems.

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非線型偏微分方程式の理論と応用研究集会報告集

1984年5月7日{}˜5月9日研究代表者藤田宏(Hiroshi Fujita)

1. On the Structure of Multiple Stable Equilibria in Nonlinear

Biffusion Systems 一

京産大・理藤井宏(Hiroshi Fujii) 2. lnverse problems for hyperbolic equations ;

the uniqueness and s tability 一一一

東大・理鈴木貴(Takashi Suzuki)

On Certain Nonlinear Differenteli 1 Equations of Second Order in Time

姫路工大丸尾健二(KenjiMaruo) 3次元外部領域における非圧縮理想流の存在一

東大・教養菊地慶祐(Keisuke Kikuchi¿

Microlocal Analys is for Nonlinear Equations E)escribing

Incompressible Fluids 一一

東大・理山崎昌男(Masao Yamazaki) 6. LOCALLY COERCIVE NONLINEAR EQUAT I ONS 一一一

カリフォルニア大加藤敏夫(Tosio Kato) 7. Weak solutions of Navier-Stokes equations 一一一

東北大・理増田久弥(K漁ya Masuda) 8. Asymptotic Behaviors of Solutions of Equation for Viscous Gas Motion

京大・理西田孝明(Takaaki Nishida)

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2

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9

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Singular Solution of Nonlinear Partial Differential Equations 明治学院大石井坦くTan lshii)

都立大・理小林隆夫(Takao Kobayashi) On Riemann-Hilbert transformations 一一一

埼玉大・理高崎金久(Kanehisa Takasaki) Quas i l inear Pos i t i ve Symmetr ic Sys tems and Mixed PDEs

復旦大谷超豪(Gu Chao-hao) Yang-Mills equa tions and holomorphic s tructures of vector bundles

筑波大・数学系伊藤光弘(Mitsuhiro Itoh) Yang 一一凶 ills 接続の変形一一一一

非線型偏微分方程式の理論と応用

2K-5 フ PO

数理解析研究所講究録 545