No.966

1995/07/26〜1995/07/28

岡沢 登

Noboru Okazawa

目　次

1. ON EXISTENCE OF VISCOSITY SOLUTIONS AND WEAK SOLUTIONS TO THE CAUCHY PROBLEM FOR $u_t = u\Delta u-\gamma\mid\Delta u \mid^2$(Nonlinear Evolution Equations and Applications)---1

　　　　DEPARTMENT OF MATHEMATICS, WASEDA UNIVERSITY TOKYO / DEPARTMENT OF APPLIED PHYSICS, WASEDA UNIVERSITY TOKYO　　　穴田 浩一 / 堤 正義　(ANADA, KOUICHI / TSUTSUMI, MASAYOSHI)

　

2. Regularizing effects for a class of Hamilton-Jacobi equations(Nonlinear Evolution Equations and Applications)--------------------18

　　　　CEREMADE, Univ. Paris-Dauphine / CEREMADE, Univ. Paris-Dauphine　　　Arisawa, Mariko / Tourin, Agnes

　

3. Nonlinear $m$-sectorial operators and time-dependent Ginzburg-Landau equations(Nonlinear Evolution Equations and Applications)---33

　　　　東京理科大学理学部　　　宇内 昭人　(UNAI, AKIHITO)

　

4. ABSTRACT QUASILINEAR INTEGRODIFFERENTIAL EQUATIONS OF HYPERBOLIC TYPE(Nonlinear Evolution Equations and Applications)------------41

　　　　Department of Mathematics, School of Education, Waseda University　　　岡 裕和　(Oka, Hirokazu)

　

5. Operator Matrices and Systems of Evolution Equations(Nonlinear Evolution Equations and Applications)-----------------------------61

　　　　Department of Mathematics, Faculty of Science, Hiroshima University　　　ENGEL, KLAUS-J.

　

6. Partial regularity for electrochemical machining with threshold current(Nonlinear Evolution Equations and Applications)----------81

　　　　　　　WEISS, GEORG SEBASTIAN

　

7. Asymptotic behaviors of radially symmetric solutions of $\Box u = \mid u \mid^p$ for super critical values $p$ in high dimensions(Nonlinear Evolution Equations and Applications)---88

　　　　Department of Mathematics, Faculty of Science, Hokkaido University / Department of Mathematics, Faculty of Science, Hokkaido University　　　久保 英夫 / 久保田 幸次　(KUBO, HIDEO / KUBOTA, KOJI)

　

8. Life-span of Classical Solutions to Nonlinear Wave Equations in Four Space Dimensions(Nonlinear Evolution Equations and Applications)---95

　　　　Department of Mathematics, Fudan University　　　Li, Ta-tsien

　

9. GLOBAL SOLUTIONS TO THE SEMILINEAR WAVE EQUATION FOR LARGE SPACE DIMENSIONS(Nonlinear Evolution Equations and Applications)-----110

　　　　Institute of Mathematics, Bulgarian Academy of Sciences　　　GEORGIEV, VLADIMIR

　

10. Asymptotic decay toward the planar rarefaction waves of solutions for viscous conservation laws in several space dimensions(Nonlinear Evolution Equations and Applications)---116

　　　　Graduate School of Mathematics, Kyushu University　　　伊藤 一男　(Ito, Kazuo)

　

11. ASYMPTOTIC BEHAVIOR OF BLOWUP SOLUTIONS OF A PARABOLIC EQUATION WITH THE P-LAPLACIAN(Nonlinear Evolution Equations and Applications)---136

　　　　Department of Mathematical Sciences, University of Tokyo / Department of Mathematical Sciences, University of Tokyo　　　藤井 中 / 太田 雅人　(FUJII, ATARU / OHTA, MASAHITO)

　

12. Structure of radial solutions to $\Delta$u + ${1}\above1pt{2}$x $\cdot \nabla u + \lambda u + \mid u \mid^{p-1} u$ = 0 in $R^n$(Nonlinear Evolution Equations and Applications)---151

　　　　早稲田大学理工学部　　　廣瀬 宗光　(Hirose, Munemitsu)

　

13. On the exterior problem of compressible Navier-Stokes equation(Nonlinear Evolution Equations and Applications)-----------------170

　　　　Institute of Mathematics, University of Tsy[u]kuba　　　小林 孝行　(Kobayashi, Takayuki)