Linearization principle for a system of equations of mixed type

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...

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Bibliographic Details
Published in:Nonlinear analysis 2009-08, Vol.71 (3), p.1019-1031
Main Authors: Mulone, G., Solonnikov, V.A.
Format: Article
Language:English
Subjects:
Instability
Linearization principle
PDEs of mixed type
Stability
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Summary: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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2008.11.023