Global Attractors for a Class of Semilinear Degenerate Parabolic Equations on R^N

• Autorzy: Anh C. T. , Thuy L. T.

Identyfikatory

DOI

10.4064/ba61-1-6

• Języki publikacji: EN

Abstrakty

EN

We prove the existence of global attractors for the following semilinear degenerate parabolic equation on R^N: ∂u/∂t−div(σ(x)∇u)+λu+f(x,u)=g(x), under a new condition concerning the variable nonnegative diffusivity σ(⋅) and for an arbitrary polynomial growth order of the nonlinearity f. To overcome some difficulties caused by the lack of compactness of the embeddings, these results are proved by combining the tail estimates method and the asymptotic a priori estimate method.

Słowa kluczowe

EN

semilinear degenerate parabolic equation; noncompact case; weak solution; global attractor; tail estimates method; asymptotic a priori estimate method

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: Vol. 61, no 1
• Strony: 47--65
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Anh C. T.

• Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam

autor

Thuy L. T.

• Department of Mathematics Electric Power University 235, Hoang Quoc Viet, Tu Liem Hanoi, Vietnam

Bibliografia

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