SEMIMARTINGALE ATTRACTORS FOR ALLEN–CAHN SPDEs DRIVEN BY SPACE–TIME WHITE NOISE I: EXISTENCE AND FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR

DOI10.1142/S0219493704001024zbMath1078.60046arXiv1005.3825OpenAlexW2083813100MaRDI QIDQ5704747

Hassan Allouba, José Antonio Langa

Publication date: 15 November 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.3825

zbMATH Keywords

stochastic Allen-Cahn equations

Mathematics Subject Classification ID

Attractors (35B41) Generalizations of martingales (60G48) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

Semimartingale attractors for generalized Allen-Cahn SPDEs driven by space-time white noise ⋮ Time-fractional and memoryful \(\Delta^{2^{k}}\) SIEs on \(\mathbb{R}_{+}\times\mathbb{R}^{d}\): how far can we push white noise? ⋮ L-Kuramoto-Sivashinsky SPDEs in one-to-three dimensions: L-KS kernel, sharp Hölder regularity, and Swift-Hohenberg law equivalence ⋮ The effect of noise on the Chafee-Infante equation: A nonlinear case study

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