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RECERCAT Home > Universitat Politècnica de Catalunya > Documents de recerca > View document

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

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
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.
Publication date:	2012-05-10
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:	Consulteu les condicions d'ús d'aquest document en el repositori original:http://hdl.handle.net/2117/1210
Document type:	Article
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