Dynamics for a stochastic degenerate parabolic equation
| Autor: | Dandan Li, Qingquan Chang, Chunyou Sun |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Polynomial
Operator (physics) Degenerate energy levels 010103 numerical & computational mathematics Lipschitz continuity 01 natural sciences Parabolic partial differential equation 010101 applied mathematics Computational Mathematics Computational Theory and Mathematics Modeling and Simulation Attractor Dissipative system Vector field 0101 mathematics Mathematical physics Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 77:2407-2431 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2018.12.023 |
| Popis: | In this paper we consider the long-time behavior of a class of stochastic degenerate parabolic equations involving an operator which is X -elliptic with respect to a family of locally Lipschitz continuous vector fields X = { X 1 , X 2 , … , X m ˜ } . The nonlinearity satisfies a dissipative condition with polynomial growth of arbitrary order p ≥ 2 . The existence of the random attractor in L 2 ( O ) , higher-order integrability and continuity in H are established. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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