On Global Attractors for a Class of Parabolic Problems

Autor:	Rodiak N. Figueroa-López, German Lozada-Cruz
Rok vydání:	2014
Předmět:	Numerical Analysis Class (set theory) Applied Mathematics Mathematical analysis Domain (mathematical analysis) Computer Science Applications Elliptic operator Computational Theory and Mathematics Homogeneous Attractor Order (group theory) Boundary value problem Analysis Mathematics
Zdroj:	Applied Mathematics & Information Sciences. 8:493-500
ISSN:	2325-0399 1935-0090
DOI:	10.12785/amis/080206
Popis:	This paper is devoted to study the existence of global attractor in H 1 0 (Ω) and uniform bounds of it in L ∞ (Ω) for a class of parabolic problems with homogeneous boundary conditions wich involves a uniform strongly elliptic operator of second order in the domain Ω � R n . The main tools used to prove the existence of global attractor are the techn iques used in Hale (8) and Cholewa (5), and for the uniform bound of the attractor we use the Alikakos-Moser iteration procedure (1).
Databáze:	OpenAIRE
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