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Bibliographic Details
Main Authors: Fonseca, Germán, Riaño, Oscar, Rodriguez-Blanco, Guillermo
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.19613
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Table of Contents:
  • 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.