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

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/1210

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Salazar, Domingo
dc.contributor.author	Solà-Morales Rubió, Joan de
dc.date	1999
dc.identifier.uri	http://hdl.handle.net/2117/1210
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Differentiable dynamical systems
dc.subject	Partial differential equations
dc.subject	Parabolic partial differential equations
dc.subject	space-dependent bistable equation
dc.subject	Sistemes dinàmics diferenciables
dc.subject	Equacions en derivades parcials
dc.subject	Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
dc.subject	Classificació AMS::35 Partial differential equations::35K Parabolic equations and systems
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37L Infinite-dimensional dissipative dynamical systems
dc.title	On the number and Indices of equilibria in a space-dependent bistable equation
dc.type	info:eu-repo/semantics/article
dc.description.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.

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