On a class of stochastic fractional heat equations
type: Item
instance of: scholarly article
title: On a class of stochastic fractional heat equations
author: Jian Song
author: Meng Wang
author: Wangjun Yuan
published in: Proceedings of the American Mathematical Society
publication date: 2024-12-18T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 60H15
Mathematics Subject Classification ID: 60G60
zbMATH DE Number: 7959349
zbMATH Keywords: stochastic fractional heat equation
zbMATH Keywords: Stratonovich solution
zbMATH Keywords: Skorohod solution
zbMATH Keywords: Malliavin calculus
zbMATH Keywords: Feynman-Kac formula
zbMATH Keywords: directed polymer model
MaRDI profile type: Publication
cites work: The intermediate disorder regime for directed polymers in dimension \(1+1\)
cites work: A note on intermittency for the fractional heat equation
cites work: Intermittency for the wave and heat equations with fractional noise in time
cites work: Polynomial chaos and scaling limits of disordered systems
cites work: Parabolic Anderson problem and intermittency
cites work: Temporal asymptotics for fractional parabolic Anderson model
cites work: Exponential asymptotics for time-space Hamiltonians
cites work: Scaling limits of directed polymers in spatial-correlated environment
cites work: On the stochastic heat equation with spatially-colored random forcing
cites work: Q5724171
cites work: Chaos expansion of heat equations with white noise potentials
cites work: Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency
cites work: Stochastic heat equation driven by fractional noise and local time
cites work: Feynman-Kac formula for heat equation driven by fractional white noise
cites work: Q5166655
cites work: Q4842684
cites work: From directed polymers in spatial-correlated environment to stochastic heat equations driven by fractional noise in \(1 + 1\) dimensions
cites work: Scaling limit of a directed polymer among a Poisson field of independent walks
cites work: On a class of stochastic partial differential equations
cites work: École d'été de probabilités de Saint-Flour XIV-1984
DOI: 10.1090/PROC/17011
description: scientific article; zbMATH DE number 7959349