Large deviations for invariant measures of SPDEs with two reflecting walls

DOI10.1016/j.spa.2012.06.003zbMath1248.60077arXiv1203.6821OpenAlexW2025960639MaRDI QIDQ449229

Tu-Sheng Zhang

Publication date: 12 September 2012

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6821

zbMATH Keywords

invariant measureslarge deviationsdeterministic obstacle problemsskeleton equationsstochastic partial differential equations with two reflecting walls

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Transition functions, generators and resolvents (60J35)

Related Items (7)

Large deviations for invariant measures of stochastic differential equations with jumps ⋮ Large deviations for invariant measures of multivalued stochastic differential equations ⋮ Hypercontractivity for space-time white noise driven SPDEs with reflection ⋮ Reflected SPDEs driven by fractional noises ⋮ Some effects of the noise intensity upon non-linear stochastic heat equations on \([0, 1\)] ⋮ Wang's Harnack inequalities for space-time white noises driven SPDEs with two reflecting walls and their applications ⋮ Large deviation principle for stochastic Burgers type equation with reflection

Cites Work

• White noise driven SPDEs with reflection: existence, uniqueness and large deviation principles
• Hitting properties of parabolic s.p.d.e.'s with reflection.
• Large deviations for infinite dimensional stochastic dynamical systems
• White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities
• Large deviations for the invariant measure of a reaction-diffusion equation with non-Gaussian perturbations
• White noise driven quasilinear SPDEs with reflection
• White noise driven SPDEs with reflection
• Stochastic partial differential equations with reflection and Malliavin calculus
• Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
• Fluctuations for \(\nabla \varphi \) interface model on a wall.
• A reflected stochastic heat equation as symmetric dynamics with respect to the 3-d Bessel bridge
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