Stochastic heat equation with rough dependence in space

From MaRDI portal
Publication:682274

DOI10.1214/16-AOP1172zbMath1393.60066arXiv1505.04924MaRDI QIDQ682274

Khoa Lê, Samy Tindel, David Nualart, Jingyu Huang, Yaozhong Hu

Publication date: 14 February 2018

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04924




Related Items (36)

Space-time fractional Anderson model driven by Gaussian noise rough in spaceOptimal Hölder continuity and hitting probabilities for SPDEs with rough fractional noisesOn the necessary and sufficient conditions to solve a heat equation with general additive Gaussian noiseJoint Hölder continuity of parabolic Anderson modelSome recent progress on stochastic heat equationsSPDEs with rough noise in space: Hölder continuity of the solutionSpatial averages for the Parabolic Anderson model driven by rough noiseParabolic Anderson model with a fractional Gaussian noise that is rough in timeNonlinear stochastic wave equation driven by rough noiseMoment bounds for a generalized Anderson model with Gaussian noise rough in spaceContinuity in law for solutions of SPDES with space-time homogeneous Gaussian noiseBSDEs generated by fractional space-time noise and related SPDEsSolvability of parabolic Anderson equation with fractional Gaussian noiseOn mean-field super-Brownian motionsA large deviation principle for the stochastic heat equation with general rough noiseFractional stochastic wave equation driven by a Gaussian noise rough in spaceNonlinear Feynman--Kac formulas for Stochastic Partial Differential Equations with Space-Time NoiseQuenched asymptotics for a 1-d stochastic heat equation driven by a rough spatial noiseSPDEs with linear multiplicative fractional noise: continuity in law with respect to the Hurst indexDecompositions of stochastic convolution driven by a white-fractional Gaussian noiseKPZ equation with fractional derivatives of white noiseSPDEs with colored Gaussian noise: a surveyFree energy in a mean field of Brownian particlesModerate deviations for stochastic heat equation with rough dependence in SpaceSPDEs with fractional noise in space: continuity in law with respect to the Hurst indexComparing the stochastic nonlinear wave and heat equations: a case studyHigh-accuracy time discretization of stochastic fractional diffusion equationApproximating Stochastic Evolution Equations with Additive White and Rough NoisesSchrödinger equation with Gaussian potentialParabolic Anderson model with rough or critical Gaussian noiseSpatial ergodicity for SPDEs via Poincaré-type inequalitiesAsymptotics of the density of parabolic Anderson random fieldsStochastic heat equation with general rough noiseQuantitative central limit theorems for the parabolic Anderson model driven by colored noisesNonlinear fractional stochastic heat equation driven by Gaussian noise rough in spaceTransportation inequalities for stochastic heat equation with rough dependence in space




This page was built for publication: Stochastic heat equation with rough dependence in space