Advances in Differential Equations

Asymptotic behavior of some nonlocal parabolic problems

Martin Siegwart

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Abstract

We consider the asymptotic behavior of solutions for a nonlocal quasilinear parabolic equation. We study the case where the associated nonlocal elliptic problem has a unique equilibrium. It is shown that under certain assumptions such an equilibrium is a global attractor.

Article information

Source
Adv. Differential Equations Volume 11, Number 2 (2006), 167-199.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867716

Mathematical Reviews number (MathSciNet)
MR2194498

Zentralblatt MATH identifier
1107.35057

Subjects
Primary: 35K20: Initial-boundary value problems for second-order parabolic equations
Secondary: 35B40: Asymptotic behavior of solutions 35B41: Attractors 35B65: Smoothness and regularity of solutions 37L30: Attractors and their dimensions, Lyapunov exponents

Citation

Siegwart, Martin. Asymptotic behavior of some nonlocal parabolic problems. Adv. Differential Equations 11 (2006), no. 2, 167--199. https://projecteuclid.org/euclid.ade/1355867716.


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