On a decay property of solutions to the Haraux-Weissler equation

Reika Fukuizumi, Tohru Ozawa

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We give a sufficient condition that non-radial H1-solutions to the Haraux-Weissler equation should belong to the weighted Sobolev space Hρ 1(ℝn), where ρ is the weight function exp ( x 2/4). Our result provides, in some sense, a connection between the solutions obtained by ODE method and those by variational approach in the space Hρ 1(ℝn).

Original languageEnglish
Pages (from-to)134-142
Number of pages9
JournalJournal of Differential Equations
Volume221
Issue number1
DOIs
Publication statusPublished - 2006 Feb 1
Externally publishedYes

Fingerprint

Weighted Sobolev Spaces
Variational Approach
Weight Function
Decay
Sobolev spaces
Sufficient Conditions

Keywords

  • Decay estimates
  • Haraux-Weissler equation
  • Weighted estimates

ASJC Scopus subject areas

  • Analysis

Cite this

On a decay property of solutions to the Haraux-Weissler equation. / Fukuizumi, Reika; Ozawa, Tohru.

In: Journal of Differential Equations, Vol. 221, No. 1, 01.02.2006, p. 134-142.

Research output: Contribution to journalArticle

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