Determining nodes for semilinear parabolic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:378

Article

Kakizawa, Ryohei

关键词: Semilinear parabolic equations;    Determining nodes;    Asymptotic behavior;   

DOI  :  10.1016/j.jmaa.2011.01.064

来源: Elsevier

【 摘 要 】

We are concerned with the determination of the asymptotic behavior of strong solutions to the initial-boundary value problem for general semilinear parabolic equations by the asymptotic behavior of these strong solutions on a finite set. More precisely, if the asymptotic behavior of the strong solution is known on a suitable finite set which is called determining nodes, then the asymptotic behavior of the strong solution itself is entirely determined. We prove the above property by the energy method. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free