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Upper semicontinuity of the attractor for the regular semigroup of a singularly perturbed diffusion equation. (Chinese. English summary) Zbl 1033.35091

Summary: For the regular solution semigroup of a singularly perturbed diffusion equation, the existence and upper-semicontinuity of the attractor are proved.

MSC:

35Q35 PDEs in connection with fluid mechanics
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
35K55 Nonlinear parabolic equations
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