arXiv:2405.19613 Abstract | arXiv Analytics

arXiv:2405.19613 [math.AP]Abstract References Reviews Resources

On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces

Germán Fonseca, Oscar Riaño, Guillermo Rodriguez-Blanco

Published 2024-05-30Version 1

We consider the initial value problem associated to the low dispersion fractionary Benjamin-Bona-Mahony equation, fBBM. Our aim is to establish local persistence results in weighted Sobolev spaces and to obtain unique continuation results that imply that those results above are sharp. Hence, arbitrary polynomial type decay is not preserved by the fBBM flow.

Comments: 30 pages

Categories: math.AP

Subjects: 35B05, 35B60

Keywords: weighted sobolev spaces, fractionary bbm equation, persistence properties, low dispersion fractionary benjamin-bona-mahony equation, arbitrary polynomial type decay

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