数理解析研究所講究録 913

非線形発展方程式とその応用

京都大学数理解析研究所
1995 年 6 月

RIMS$Nonlinea\ulcorner$$Koky\omega Lok\alpha$$913$

Evolution Eouations

and Thei$\ulcorner$

ADDlications

June,

1995

Research Institute for Mathematical Sciences

Kyoto University, Kyoto, Japan

Preface
This volume collects all of the lectures delivered at the conference, Nonlinear
Evolution Equations and Their Applications, held at the Research Institute forMathematical Sciences, Kyoto University, during October 12- 14, 1994. Most ofthe lectures concerned the theory of nonlinear evolution equations, their appli-cations to nonlinear partial differetial equations and related topics in nonlinear
partial differential equations. It is my pleasure to thank all those who cooperated
to make this volume possible.
The conference was made possible by financial support from the Research Institute for Mathematical Sciences. I wish to thank the Institute for its support andfor publishing these proceedings.

Hitoshi Ishii

Chuo University
May 25, 1995

非線形発展方程式とその応用研究集会報告集

1994 年 10 月 12 日 \sim 10 月 14 $B$
研究代表者

石井

仁司 ( $Hit0s\Uparrow i$

A $sym\mathfrak{p}toticEQuiv$ a1$Corr\epsilon s\mathfrak{p}0n4in0$$\epsilon nc\epsilon 0f$

A$R\epsilon$A $ii$ )

次目

1$|S$

a $ction-Diffusion$ Sy

System of Ordinary Differential$E\mathfrak{g}uati0ns--------------1$

弘喜 (Hiroki Hoshino)

星野福岡大・理$st\epsilon mtoth\epsilon$

2. STABILITY OF SOLITARY WAVES FOR THE ZAKHAROV $EOUAT10NS————–17$
東大・数理科学

3.

$SlNGULARlTlES$

FOR VISGOSITY $S0LUT10NS$ OF $HAMlLTON-tACOB1EOUATlONS–31$
泉屋周 $-$ ( $Shyuichi$ 1 zum $iy$ a)
北大・理
Univ

4.

of Crete

T. Kossioris$G\epsilon 0r\mathfrak{g}ios$$0nunboun4e4v\dot{|}scosityso1uti0nsofnon1in\epsilon$ a $rs\epsilon con4or4\epsilon r\beta$ a $rti$ a1$\phi iff\epsilon r\epsilon\iota lti$5.

雅人 (Masahito Ohta)

太田$Gi\mathfrak{n}ZDUr\mathfrak{g}$$\mathfrak{g}_{0m}$a1$\epsilon qu$a $ti0ns————————————54$

a $tsuyuki$ 1 A)

神戸商船大

石井

克幸 (神戸商船大冨田

義人 (Yoshihito Tomita)

$K$

$s$

$ii$

a nontrivial-Landau equation and stahle solutions in$——————————————68$

a $in——-$秀 $-(Shuic\Uparrow|timb0)$

北大・理

神保

北大・理

Jian Zhai

龍谷大・理工森田普久 ($Yos\Uparrow ih\dot{1S}$a$Mo$$rit$ a)

6. THE FREEBOUNDARY IN A MINIMIZATION $PR0BLEM———————82$Kwon
Aan 4
Un $iv\epsilon rsity$ of Sc
Aa$p_{0}$$poAan\mathfrak{g}Univ\epsilon rsity$

7.

$T$

A$\epsilon cur$$T\epsilon c$$i\epsilon nc\epsilon$$\Uparrow 0$

veof Science and$s\Uparrow 0rt\epsilon nin\mathfrak{g}\epsilon 0u$$T\epsilon c\Uparrow n0100y$a $ti0n$ an4堤早稲田大・理工

8.

$0nt$ A
$t$

A

$its$

$C\Uparrow 0$$nolo\mathfrak{g}y$0$$ll\epsilon r$

Hi Jun Choe

a1 $izatiolIs———–80$

正義 (Masayoshi Tsutsumi)

a $bi1ity0fnon-\llcorner\dot{|}n\epsilon$ a $rs\epsilon 111iQroups$ :a $rc$ a $s\epsilon-----------------------------------108$
元 ( $Gen$中村a amu a)
松江工業高専$\epsilon 0iff\epsilon r\epsilon nti$$\epsilon s\epsilon mi-|in\epsilon$$N$$-i-$

$k$

$r$

9. 非回帰的空間における非放物型方程式とその応用 $———————–128$

10.

11.

$Non1in\epsilon$$St$a$r$

お茶の水女子大・理高村

幸男 ( $Yuki0$ K\={o} $mura$ )お茶の水女子大・理

古谷希世子 (Kiyoko Furuya)

a $n4Non|0C$ a1$E\eta u$

a $tionsR\epsilon 1$ a$t\epsilon 4to$

Mu $sc1\epsilon Contr$ a $ction—–132$Kato)

島根大・理蚊戸宣幸 (Nobuyuki

島根大・理

山口

利幸 ( $Toshiyuki$ YamaQ $uchi$ )a $bi1ity0f\mathfrak{g}|0b$ a1 $stron\mathfrak{g}so1utionsofth\epsilon$ Na
a $ti0ns———————————————————-141$)
正 ( $Ta4$ a A $iKawa$ Ila
川中子
阪大・理$vi\epsilon r-Stok\epsilon s$

$GQu$

$s$

$Q0$

12. Haraux-We|ssler 型方程式の正値球対称解についてー———————148
廣瀬

早稲田大・理工

13.

$Num\epsilon ric$

a1$\epsilon x\mathfrak{p}\epsilon ri$

ments fo$r\mathfrak{p}$Aa$s\epsilon c$

千葉大・自然科学A$an\mathfrak{g}\epsilon$

白水

宗光 (Mu $n\epsilon mitsuHiros\epsilon$ )Orob I em $s——————–169$
淳 $(/unShirohzu)$

14. Navier-St0kes 方程式の外部問題について ——————————185
筑波大・数学系

小林孝行 (Takayuki Kobayashi)

筑波大・数学系

柴田良弘 (Yoshihir0 Shibata)$-ii-$