Large deviations for quasilinear parabolic stochastic partial differential equations

DOI10.1007/s11118-019-09763-1zbMath1451.60064arXiv1711.08531OpenAlexW2769817231MaRDI QIDQ778175

Zhao Dong, Rangrang Zhang, Tu-Sheng Zhang

Publication date: 2 July 2020

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08531

zbMATH Keywords

Freidlin-Wentzell's large deviationsquasilinear stochastic partial differential equationsweak convergence approach

Mathematics Subject Classification ID

Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Quasilinear parabolic equations (35K59)

Related Items (4)

The exponential behavior and stabilizability of quasilinear parabolic stochastic partial differential equation ⋮ On the small time asymptotics of quasilinear parabolic stochastic partial differential equations ⋮ Global attracting sets and exponential stability of stochastic partial functional differential equations ⋮ Large deviations for stochastic porous media equations

Cites Work

• SPDE in Hilbert space with locally monotone coefficients
• Degenerate parabolic stochastic partial differential equations: quasilinear case
• Large deviations for infinite dimensional stochastic dynamical systems
• A variational representation for certain functionals of Brownian motion
• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Mathematical analysis of nonlinear models of petrol engineering
• Quasilinear parabolic stochastic partial differential equations: existence, uniqueness
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