Chaos expansion of heat equations with white noise potentials
From MaRDI portal
Publication:1598521
DOI10.1023/A:1024878703232zbMath0993.60063MaRDI QIDQ1598521
Publication date: 23 May 2002
Published in: Potential Analysis (Search for Journal in Brave)
Random fields (60G60) Heat equation (35K05) White noise theory (60H40) Schrödinger operator, Schrödinger equation (35J10) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (20)
Stochastic parabolic Anderson model with time-homogeneous generalized potential: mild formulation of solution ⋮ Support theorem for a singular SPDE: the case of gPAM ⋮ High order Anderson parabolic model driven by rough noise in space ⋮ Some recent progress on stochastic heat equations ⋮ Stochastic fractional heat equations driven by fractional noises ⋮ From directed polymers in spatial-correlated environment to stochastic heat equations driven by fractional noise in \(1 + 1\) dimensions ⋮ PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES ⋮ Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics ⋮ A Feynman–Kac approach for the spatial derivative of the solution to the Wick stochastic heat equation driven by time homogeneous white noise ⋮ Global well-posedness for the nonlinear generalized parabolic Anderson model equation ⋮ Solvability of parabolic Anderson equation with fractional Gaussian noise ⋮ Time-homogeneous parabolic Wick-Anderson model in one space dimension: regularity of solution ⋮ Lyapunov exponent estimates of a class of higher-order stochastic Anderson models ⋮ Generalized Anderson model with time-space multiplicative fractional noise ⋮ Chaos expansion of 2D parabolic Anderson model ⋮ Weak convergence for the fourth-order stochastic heat equation with fractional noises ⋮ Stochastic fractional Anderson models with fractional noises ⋮ On a Class of Stochastic Anderson Models with Fractional Noises ⋮ Convergence to SPDEs in Stratonovich form ⋮ The heat equation with time-independent multiplicative stable Lévy noise
This page was built for publication: Chaos expansion of heat equations with white noise potentials
