Convergence rate in the weighted norm for a semilinear heat equation with supercritical nonlinearity

• Naito Yūki

  Department of Mathematics Ehime University

Abstract

We study the behavior of solutions to the Cauchy problem for a semilinear heat equation with supercritical nonlinearity. It is known that two solutions approach each other if these initial data are close enough near the spatial infinity. In this paper, we give its sharp convergence rate in the weighted norms for a class of initial data. Proofs are given by a comparison method based on matched asymptotics expansion.

Journal

• Kodai Mathematical Journal

  Kodai Mathematical Journal 37 (3), 646-667, 2014

  Department of Mathematics, Tokyo Institute of Technology

Keywords

• Semilinear heat equation
• Convergence rate
• Supercirtical exponent

Details

• CRID: 1390282680248244864
• NII Article ID: 130004705917
• DOI: 10.2996/kmj/1414674614
• ISSN: 18815472
• ISSN: 03865991
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed