Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition

被引：7

作者：

Fila, Marek ^{[1
]}

Ishige, Kazuhiro ^{[2
]}

Kawakami, Tatsuki ^{[3
]}

机构：

[1] Comenius Univ, Dept Appl Math & Stat, Bratislava 84248, Slovakia

[2] Tohoku Univ, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan

[3] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2016年 / 105卷 / 06期

基金：

日本学术振兴会;

关键词：

Semilinear elliptic equation; Dynamical boundary condition; Minimal solutions; Phragmen-Lindelof theorem; LARGE-TIME BEHAVIOR; POSITIVE SOLUTIONS; LAPLACE EQUATION; GLOBAL-SOLUTIONS; BLOW-UP; EXISTENCE; SYSTEMS;

D O I：

10.1016/j.matpur.2015.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study properties of positive solutions of a semilinear elliptic equation with a linear dynamical boundary condition. We establish the semigroup property for minimal solutions, show that every local-in-time solution can be extended globally, and reveal a relationship between minimal solutions of the time-dependent problem and minimal solutions of a corresponding stationary problem. (C) 2015 Elsevier Masson SAS. All rights reserved.

引用

页码：788 / 809

页数：22

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