A sharp Strichartz estimate for the wave equation with data in the energy space

We prove a sharp bilinear stimate for the wave equation from which we obtain the sharp constant in the Strichtartz estimate which controls the norm of the solution in terms of the energy. We also characterise the maximisers.

Detalhes bibliográficos
Autores: Bez, Neal, Rogers, Keith M.
Formato: artículo
Fecha de publicación:2013
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/89456
Acesso em linha:http://hdl.handle.net/10261/89456
Access Level:acceso abierto
Palavra-chave:Strichartz
Estimates
Wave
equations
Sharp
Constants
Descrição
Resumo:We prove a sharp bilinear stimate for the wave equation from which we obtain the sharp constant in the Strichtartz estimate which controls the norm of the solution in terms of the energy. We also characterise the maximisers.