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

• Naito Yūki

  Department of Mathematics Ehime University

抄録

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.

収録刊行物

• ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ

  ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ 37 (3), 646-667, 2014

  国立大学法人 東京工業大学理学院数学系

キーワード

• Semilinear heat equation
• Convergence rate
• Supercirtical exponent

詳細情報

• CRID: 1390282680248244864
• NII論文ID: 130004705917
• DOI: 10.2996/kmj/1414674614
• ISSN: 18815472
• ISSN: 03865991
• 本文言語コード: en
• データソース種別:
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