The Stabilization Theorems For Parabolic Systems With Analytic Nonlinearity And Ljapunov Functional

Let u(x,t) denote the solution of a boundary value problem forparabolic system . We say the solution u(x; t) stabilizes as t tends to plus infinity (minus infinity) if the set of all partial limits as t tends to plus infinity (menus infinity) of the solution u(x,t) consists of a single stationary so...

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Bibliographic Details
Main Author: Mikhail Vishnevskii
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2004-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7496/4315