On the number and Indices of equilibria in a space-dependent bistable equation

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Title:	On the number and Indices of equilibria in a space-dependent bistable equation
Author:	Salazar, Domingo; Solà-Morales Rubió, Joan de
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We study a singular perturbation problem of a piecewise autonomous bistable equation. We give sufficient conditions both for the boundedness and the unboundedness of the number and Morse index of its equilibrium solutions as the perturbation parameter approaches zero. For the bounded case, we provide the number of equilibria as a function of the number of discontinuities of the reaction term.
Subject(s):	-Differentiable dynamical systems -Partial differential equations -Parabolic partial differential equations -space-dependent bistable equation -Sistemes dinàmics diferenciables -Equacions en derivades parcials -Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions -Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems -Classificació AMS::37 Dynamical systems and ergodic theory::37L Infinite-dimensional dissipative dynamical systems
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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