Linearization principle for a system of equations of mixed type

被引：6

作者：

Mulone, G. ^{[1
]}

Solonnikov, V. A. ^{[2
]}

机构：

[1] Citta Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

[2] Inst Math, Petersburg Dept Steklov, St Petersburg 191023, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Linearization principle; PDEs of mixed type; Stability; Instability; MODEL; DIFFUSION; STABILITY;

D O I：

10.1016/j.na.2008.11.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system of equations of mixed type considered in this paper is very usual in many biological, ecological and physical problems. We study the stability and instability of a stationary solution and we prove a linearization principle in the case of general boundary conditions and for a large class of nonlinear terms, in the Sobolev-Slobodetskii spaces with an exponential weight. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1019 / 1031

页数：13

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