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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Détails bibliographiques
Auteur principal: Banquet Brango, Carlos
Format: Documento de Conferencia
Langue:spa
Publié: 2021
Accès en ligne:http://repositorio.uptc.edu.co/handle/001/5027
Description
Résumé: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.