Existence of a Global Attractor for the Heat Equation with Degenerate Memory
Tóm tắt
We analyze the long-time behavior of the semigroup S(t) generated by a heat equation with degenerate past history and a nonlinear heat supply posed in a three dimensional bounded domain
$$\Omega $$
. Assuming that the degeneracy occurs in a positive measure subset of
$$\Omega $$
, we prove the existence and regularity of the global attractor associated to this semigroup.
Tài liệu tham khảo
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