The Benjamin-Bona-Mahony equation on modulation spaces

In this work we derive time-decay and Strichartz estimates for the generalized Benjamin-Bona-Mahony equation on the framework of modulation spaces Msp,q. We use this results to analyze the existence of local and global solutions of the corresponding Cauchy problem with rough data in modulation spac...

ver descrição completa

Detalhes bibliográficos
Autor principal: Banquet Brango, Carlos
Formato: Documento de Conferencia
Idioma:spa
Publicado em: 2021
Acesso em linha:http://repositorio.uptc.edu.co/handle/001/5027
Descrição
Resumo:In this work we derive time-decay and Strichartz estimates for the generalized Benjamin-Bona-Mahony equation on the framework of modulation spaces Msp,q. We use this results to analyze the existence of local and global solutions of the corresponding Cauchy problem with rough data in modulation spaces. The results improve known results in Sobolev spaces in some sense.