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Random attractors for stochastic semi-linear degenerate parabolic equations with additive noise in [formula omitted]

Authors
Journal
Applied Mathematics and Computation
0096-3003
Publisher
Elsevier
Publication Date
Volume
225
Identifiers
DOI: 10.1016/j.amc.2013.09.051
Keywords
  • Random Dynamical System
  • Random Attractor
  • Stochastic Degenerate Parabolic Equations
  • Quasi-Continuity
Disciplines
  • Mathematics

Abstract

Abstract This paper studies the random dynamical system generated by the stochastic semi-linear degenerate parabolic equations with additive noise in a bounded domain D⊂Rn and proves the existence of random attractors for such random dynamical system in Lq(D) for any q⩾2. The obtained results improve some recent ones for this problem.

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