Determining nodes for semilinear parabolic equations

Autor:	Kakizawa, Ryôhei
Rok vydání:	2009
Předmět:	Mathematics - Analysis of PDEs Mathematics - Numerical Analysis 35K90 65N35
Druh dokumentu:	Working Paper
Popis:	We are concerned with the uniqueness of the asymptotic behavior of strong solutions of the initial-boundary value problem for general semilinear parabolic equations by the asymptotic behavior of these strong solutions on a finite set of an entire domain. More precisely, if the asymptotic behavior of a strong solution is known on an appropriate finite set, then the asymptotic behavior of a strong solution itself is entirely determined in a domain. We prove the above property by the energy method. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0910.0595 Zobrazit plný text záznamu View this record from Arxiv