On Besov regularity of temperatures

We prove space-time parabolic Besov regularity in terms of integrability of Besov norms in the space variable for solutions of the heat equation on cylindrical regions based on Lipschitz domains.

Detalhes bibliográficos
Autores: Aimar, Hugo Alejandro, Gomez, Ivana Daniela, Iaffei, Bibiana Raquel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2010
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/75193
Acesso em linha:http://hdl.handle.net/11336/75193
Access Level:acceso abierto
Palavra-chave:Parabolic Besov Spaces
Heat Equation
Lipschitz Cylindrical Regions
Gradient Estimates
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:We prove space-time parabolic Besov regularity in terms of integrability of Besov norms in the space variable for solutions of the heat equation on cylindrical regions based on Lipschitz domains.