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...

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Detalles Bibliográficos
Autor principal: Banquet Brango, Carlos
Formato: Documento de Conferencia
Lenguaje:spa
Publicado: 2021
Acceso en línea:http://repositorio.uptc.edu.co/handle/001/5027
Descripción
Sumario: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.