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

100%

Anh C., Thuy L.

Bulletin of the Polish Academy of Sciences. Mathematics

2013

tom 61

nr 1

47-65

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.

On the global attractors for a class of semilinear degenerate parabolic equations

81%

Anh C., Binh N., Thuy L.

Annales Polonici Mathematici

2010

tom 98

nr 1

71-89

We prove the existence and upper semicontinuity with respect to the nonlinearity and the diffusion coefficient of global attractors for a class of semilinear degenerate parabolic equations in an arbitrary domain.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Bulletin of the Polish Academy of Sciences. Mathematics

2 Anh C.

2 Thuy L.

1 Binh N.

1 2013

1 2010

Wyniki wyszukiwania

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

On the global attractors for a class of semilinear degenerate parabolic equations