Free boundaries touching the boundary of the domain for some reaction-diffusion problems

We give conditions on the behaviour of the trace datum near the boundary of its support in order to know whether the free boundary given by the boundary of the support of the solution of suitable elliptic or parabolic semilinear problem is connected or not with the boundary of the support of the bou...

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Detalles Bibliográficos
Autores: Díaz Díaz, Jesús Ildefonso, Mingazzini, Tommaso
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/22980
Acceso en línea:https://hdl.handle.net/20.500.14352/22980
Access Level:acceso abierto
Palabra clave:517.9
Semilinear elliptic and parabolic problems
Free boundary
Compact support
Boundary behaviour
Ecuaciones diferenciales
1202.07 Ecuaciones en Diferencias
Descripción
Sumario:We give conditions on the behaviour of the trace datum near the boundary of its support in order to know whether the free boundary given by the boundary of the support of the solution of suitable elliptic or parabolic semilinear problem is connected or not with the boundary of the support of the boundary datum.