Asymptotic behavior of solutions for some semilinear heat equations in RN

Kazuhiro Ishige; Tatsuki Kawakami

doi:10.3934/cpaa.2009.8.1351

Asymptotic behavior of solutions for some semilinear heat equations in R^N

Kazuhiro Ishige, Tatsuki Kawakami

研究成果: Article › 査読

9 被引用数 (Scopus)

抄録

We consider the Cauchy problem of the semilinear heat equation, (equation) where N ≥ 1, f ∈ C¹([0, ∞)), and φ ∈ L ¹(R^N) ∩ L^∞(R^N). We study the asymptotic behavior of the solutions in the L^q spaces with q ∈ [1, ∞], by using the relative entropy methods.

本文言語	English
ページ（範囲）	1351-1371
ページ数	21
ジャーナル	Communications on Pure and Applied Analysis
巻	8
号	4
DOI	https://doi.org/10.3934/cpaa.2009.8.1351
出版ステータス	Published - 2009 7月
外部発表	はい

ASJC Scopus subject areas

分析
応用数学

文献へのアクセス

10.3934/cpaa.2009.8.1351

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引用スタイル

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abstract = "We consider the Cauchy problem of the semilinear heat equation, (equation) where N ≥ 1, f ∈ C1([0, ∞)), and φ ∈ L 1(RN) ∩ L∞(RN). We study the asymptotic behavior of the solutions in the Lq spaces with q ∈ [1, ∞], by using the relative entropy methods.",

keywords = "Asymptotic behavior, Cauchy problem, Relative entropy methods, Semilinear heat equation",

author = "Kazuhiro Ishige and Tatsuki Kawakami",

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