Local integral manifolds for a nonautonomous parabolic equation

Autor:	M. I. Vishik, A. Yu. Goritskii
Rok vydání:	1997
Předmět:	Statistics and Probability Equilibrium point Applied Mathematics General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Bibliography Limiting Summation equation Lipschitz continuity Integral equation Mathematics Integral manifold
Zdroj:	Journal of Mathematical Sciences. 85:2428-2439
ISSN:	1573-8795 1072-3374
DOI:	10.1007/bf02355848
Popis:	The paper deals with a quasilinear nonautonomous parabolic equation. A finite-dimensional Lipschitz integral manifold is constructed in a neighborhood of an equilibrium point of the limiting autonomous equation. It is proved that the integral manifold attracts exponentially all the solutions of the initial nonautonomous equation, passing through this neighborhood. Bibliography: 13 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3a500d0b4f6806bc0a084123685988b6 https://doi.org/10.1007/bf02355848 Zobrazit plný text záznamu Full text from SpringerLink