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

• Autorzy: Cung The Anh , Le Thi Thuy
• 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.

Kategorie tematyczne

• 35B41: Attractors
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: 61
• Numer: 1
• Strony: 47-65

Daty

wydano

2013

Twórcy

autor

Cung The Anh

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

autor

Le Thi Thuy

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

Identyfikatory

DOI

10.4064/ba61-1-6