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

Cung The Anh, and Le Thi Thuy. "Global Attractors for a Class of Semilinear Degenerate Parabolic Equations on $ℝ^N$." Bulletin of the Polish Academy of Sciences. Mathematics 61.1 (2013): 47-65. <http://eudml.org/doc/281231>.

@article{CungTheAnh2013,
abstract = {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.},
author = {Cung The Anh, Le Thi Thuy},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {noncompact case; tail estimates method; asymptotic a priori estimate method; Galerkin method},
language = {eng},
number = {1},
pages = {47-65},
title = {Global Attractors for a Class of Semilinear Degenerate Parabolic Equations on $ℝ^N$},
url = {http://eudml.org/doc/281231},
volume = {61},
year = {2013},
}

TY - JOUR
AU - Cung The Anh
AU - Le Thi Thuy
TI - Global Attractors for a Class of Semilinear Degenerate Parabolic Equations on $ℝ^N$
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2013
VL - 61
IS - 1
SP - 47
EP - 65
AB - 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.
LA - eng
KW - noncompact case; tail estimates method; asymptotic a priori estimate method; Galerkin method
UR - http://eudml.org/doc/281231
ER -