Extended Decay Properties for Generalized BBM Equation

Chulkwang Kwak, Claudio Muñoz

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations

Abstract

In this note we show that all small solutions of the BBM equation must decay to zero as t → +∞ in large portions of the physical space, extending previous known results, and only assuming data in the energy space. Our results also include decay on the left portion of the physical line, unlike the standard KdV dynamics.

Original languageEnglish
Title of host publicationFields Institute Communications
PublisherSpringer
Pages397-411
Number of pages15
DOIs
StatePublished - 2019

Publication series

NameFields Institute Communications
Volume83
ISSN (Print)1069-5265
ISSN (Electronic)2194-1564

Keywords

  • 35Q35
  • 35Q51

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