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...

Fuld beskrivelse

Bibliografiske detaljer
Hovedforfatter: Banquet Brango, Carlos
Format: Documento de Conferencia
Sprog:spa
Udgivet: 2021
Online adgang:http://repositorio.uptc.edu.co/handle/001/5027
Beskrivelse
Summary: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.