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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Bibliografiska uppgifter
Huvudupphovsman: Banquet Brango, Carlos
Materialtyp: Documento de Conferencia
Språk:spa
Publicerad: 2021
Länkar:http://repositorio.uptc.edu.co/handle/001/5027
Beskrivning
Sammanfattning: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.