Pullback attractors for nonclassical diffusion equations with delays

Pullback attractors for nonclassical diffusion equations with delays

In this paper, we prove the existence of pullback attractors in CH01(Ω) for a nonclassical diffusion equation with delay term g(t, ut) which contains some hereditary characteristics. We consider two types of nonlinearity f: one is the case of critical growth and the other one is the polynomial growt...

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Veröffentlicht in:Journal of mathematical physics 2015-09, Vol.56 (9), p.1
Hauptverfasser: Zhu, Kaixuan, Sun, Chunyou
Format: Artikel
Sprache:eng
Schlagworte:
Diffusion
Motors
Physics
Polynomials
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Zusammenfassung:In this paper, we prove the existence of pullback attractors in CH01(Ω) for a nonclassical diffusion equation with delay term g(t, ut) which contains some hereditary characteristics. We consider two types of nonlinearity f: one is the case of critical growth and the other one is the polynomial growth of arbitrary order p − 1(p ≥ 2).
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4931480