Convergence rate to singular steady states in a semilinear parabolic equation

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• 作者：Masaki Hoshino^a ; Eiji Yanagida^b ; ^{yanagida@math.titech.ac.jp" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 35K58 ; secondary ; 35B33 ; 35B35
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：131
• 期：Complete
• 页码：98-111
• 全文大小：635 K

文摘

We study the asymptotic behavior of singular solutions of a semilinear parabolic equation. Our aim is to determine a convergence rate to singular steady states, and to derive a universal lower bound of the convergence rate which implies the optimality of the convergence rate. Proofs are given by using a super- and subsolution method based on matched asymptotic expansion.