A note on blow-up criteria for a class of nonlinear dispersive wave equations with dissipation

A note on blow-up criteria for a class of nonlinear dispersive wave equations with dissipation

In this note, we study the Cauchy problem for a class of nonlinear dispersive wave equation with dissipative term on the real line. We establish a new local-in-space blow-up criterion. Our results improve the corresponding ones in the previous paper.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Monatshefte für Mathematik 2021-03, Vol.194 (3), p.503-512
1. Verfasser: Deng, Xijun
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Mathematics
Mathematics and Statistics
Physical Sciences
Science & Technology
Wave dispersion
Wave equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this note, we study the Cauchy problem for a class of nonlinear dispersive wave equation with dissipative term on the real line. We establish a new local-in-space blow-up criterion. Our results improve the corresponding ones in the previous paper.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-020-01452-1