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...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser: Banquet Brango, Carlos
Format: Documento de Conferencia
Sprache:spa
Veröffentlicht: 2021
Online Zugang:http://repositorio.uptc.edu.co/handle/001/5027
Beschreibung
Zusammenfassung: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.