ISSN 1880-2818
数理解析研究所講究録 1591
変分問題とその周辺
京都大学数理解析研究所
2008 年 4 月
RIMS K6k vOroku 159Z
Variational Problems and Related Topics
AppriL 2008
Research hzstitute for Mathematical S ℃ iences
Kyoto U)eivensity, K)2oto, lapan
This is a report of research done at Research institute fbr Mathematical
Sciences, Kyoto University The papers contamed herem are m final form
and will not be submitted for pubhcation elsewhere
変分問題とその周辺
Vanational Problems and Related Topics RIMS研究集会報告集
2007年6月19日{}˜6月21日
研究代表者 中島 主恵(K血1e Nakashuna) 副代表者 鈴木 貴(Ta:kashl Suzuk1)
目 次
1 HIDDEN DYNAM ICS AND TH E ORIGnNr OF PUL SATING WAVE S
IN SELF-PROPAGATING HIIGH TEMIPERATURE SYNTHESIS e e一一一ee ee 一一e 一 1
Ecole Nationale des Ponts et Chaussees R Monneau 東大・数理科学(UTokyo) Georg S Welss
2 On the structure of the cntical set m the mimmax theorem wnhout
the Pala ls-Smale cond ltlon一・・・・・・・・…一一・・一一・…。…。一・・・・・・・・・・…一…一。。・一…。。一■…一・・一一・. l l
宮崎大・工
(UMlyazah)大塚 浩史
(Hirosh1 OhtSuka)3 Asymptotic non-degeneracy o f the soluston to the mean field equation一一一一一一一一一一一一一一一一一一一一29
学習院大・計算機センター
(Gakushum・U)佐藤 友彦
(Tomohiko Sato)4 Asymptotic nondegeneracy of the least energy solutions to an elliptic problen
Wlth the CrltiCal SObOlev exponent一一一一一一一一一.eeee-e. e..ee.e一一e.eee.eeee.eee一一一一・・一.一一一一一一一一一.一一一一一47 大阪市大・理(Osaka City U) 高橋 太(Futosh1 Takahashi)
5 Representation and Asymptotic Formulas for Some
ledlmenSlonal Lmearlzed Elgenvalue Problerns一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一67 早大・理工(Waseda U)/明治大・理工(Melj1 U)
若狭 徹(Tohru Wakasa)
龍谷大・理工
(Ryukoku U)四ッ谷 晶二
(ShoJ 1 Yotsutani)6 THE ROLE OF MVLTIIPLE MICROSCOPIC MECHANISMS IN
CLUSTER IINTERFACE EVOLUTION一一一一一一・一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一…一一一一88 UCrete Georgia Karali
UMassachusetts Markos A Katsoulakis
7 1nte血ce mottons dnven by reactlen, dithision and convectlon一一。。一.。。一一一一一一一一一一・・。一一一一。.108 Freie U Berlm J Htirtench
広島大・理学
(Hrroshuma・U)坂元 国望
(Kummoch1 Sakamoto) 8 Blfurca On Analysls for a Gmzburg-Landau equatlon一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一119龍谷大・理工(Ryukoku U)森田 善久(Yoshihisa・Monta) 9 A POSItive sOlutlon of a nonlmear scalar field equatlon一一一一一一一一一一一一一・・一一一一一一一一一一一一一一一一一一一125
早大・理工学(Waseda U) 平田 潤(Jun・Hrrata)
w- 1 一
1 O Multiple stable patterns m a balanced bistable equation
with heterogeneous envirorments一一一一一一一一一・一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一134
首都大・理工学(Tokyo Metropolltan U)倉田 和浩(Kazuhlro Kurata) 沼津工業高専(Numazu・Nat Coll Tech)松澤寛(Hlrosh1 Matsuzawa)
11 EXISTENCE AND NONEXISTENCE OF NONTRIVIAL STEADY
STATES OF AN ACTIVATOR-INHIBrrOR SYSTEM 一 一 一 m一 e e 一一一一一一一一143 UPittsburgh Huiqiang Jiang
UMinnesota We1-Mmg N1 12 AVARIATIONAL APPROACH TO A CHOREOGRAPHY
IN THE PARALLELOGRAM FOUR BODY PROBLEM一一一一me 一 一一 t・一一一一一一一一一一148 木更津工業高専(Klsarazu・Nat Coll Tech)関口 昌由(Masayosh1 Sekiguch1) 1 3 A remark on the mean field equation for equilibnum vornces
wlth arbltrary slgn一一一en一一一一一et一一e一一e一一e一一ee一一e一 一一e-pee-e-e一一 一一一一e一一一一一一eee一一一一一一e一一一一一一一一ee一一 一一一p一一一一一e 159
Udi Napo11 Fedenco皿 Tonla Rlcclard1
1 4 Degenerate parabolic equation denved from kinetic theory一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一164 阪大・基礎工学(Osaka U) 鈴木 貴(Takashi Suzuk1)
幽11 一
