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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Bibliografische gegevens
Hoofdauteur: Banquet Brango, Carlos
Formaat: Documento de Conferencia
Taal:spa
Gepubliceerd in: 2021
Online toegang:http://repositorio.uptc.edu.co/handle/001/5027
Omschrijving
Samenvatting: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.