Large Deviations for Stationary Measures of Stochastic Nonlinear Wave Equations\\with Smooth White Noise

DOI10.1002/cpa.21693OpenAlexW2963672234MaRDI QIDQ5348122

Davit Martirosyan

Publication date: 14 August 2017

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04964

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Hyperbolic equations and hyperbolic systems (35Lxx)

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Cites Work

• Unnamed Item
• Exponential mixing for the white-forced damped nonlinear wave equation
• Quasipotential and exit time for 2D stochastic Navier-Stokes equations driven by space time white noise
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• Generic properties of stationary state solutions of reaction-diffusion equations
• Large deviations for the two-dimensional Navier-Stokes equations with multiplicative noise
• Large deviations principles for stochastic scalar conservation laws
• Large deviations for stochastic evolution equations with small multiplicative noise
• Large deviations for the invariant measure of a reaction-diffusion equation with non-Gaussian perturbations
• Large deviation principle for stochastic evolution equations
• Large deviations for the boundary driven symmetric simple exclusion process
• Large deviations for a Burgers'-type SPDE
• Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term
• Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term.
• Large deviation for Navier-Stokes equations with small stochastic perturbation
• Large deviations for a class of stochastic partial differential equations
• Stochastic 2D hydrodynamical type systems: well posedness and large deviations
• Uniform large deviations for parabolic SPDEs and applications
• Nonlinear stochastic perturbations of dynamical systems and quasi-linear parabolic PDE's with a small parameter
• Exit from a basin of attraction for stochastic weakly damped nonlinear Schrödinger equations
• Large deviation principles for the stochastic quasi-geostrophic equations
• From dynamic to static large deviations in boundary driven exclusion particle systems.
• Uniform large deviations for the nonlinear Schrödinger equation with multiplicative noise
• Random Perturbations of Dynamical Systems
• SMOLUCHOWSKI–KRAMERS APPROXIMATION AND EXIT PROBLEMS
• Stochastic Equations in Infinite Dimensions