Sharp Morawetz estimates

We prove sharp Morawetz estimates - global in time with a singular weight in the spatial variables - for the linear waves. Klein Gordon and Schrodinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.

Detalles Bibliográficos
Autores: Ozawa, Tohru, Rogers, Keith M.
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/89491
Acceso en línea:http://hdl.handle.net/10261/89491
Access Level:acceso abierto
Palabra clave:Morawetz
Estimates
Sharp
Constants
Maximisers
Descripción
Sumario:We prove sharp Morawetz estimates - global in time with a singular weight in the spatial variables - for the linear waves. Klein Gordon and Schrodinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.