Spatial Hölder continuity for the parabolic Anderson model with the singular initial conditions

DOI10.1063/5.0172994MaRDI QIDQ6646374

Hui Sun, Yangyang Lyu

Publication date: 2 December 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Schrödinger and Feynman-Kac semigroups (47D08) Singular stochastic partial differential equations (60H17)

Cites Work

• Unnamed Item
• Unnamed Item
• Spatial asymptotics for the parabolic Anderson models with generalized time-space Gaussian noise
• The parabolic Anderson model. Random walk in random potential
• Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions
• KPZ reloaded
• Feynman-Kac formula for heat equation driven by fractional white noise
• Maximum of a log-correlated Gaussian field
• Intermittency for the stochastic heat equation driven by a rough time fractional Gaussian noise
• Parabolic Anderson model with space-time homogeneous Gaussian noise and rough initial condition
• Spatial asymptotics for the Feynman-Kac formulas driven by time-dependent and space-fractional rough Gaussian fields with the measure-valued initial data
• Hölder continuity for the parabolic Anderson model with space-time homogeneous Gaussian noise
• Quenched asymptotics for a 1-d stochastic heat equation driven by a rough spatial noise
• Large time asymptotics for the parabolic Anderson model driven by spatially correlated noise
• Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane
• Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency
• Gaussian free fields for mathematicians
• Parabolic Anderson model with rough noise in space and rough initial conditions
• Nonlinear Young integrals and differential systems in Hölder media

This page was built for publication: Spatial Hölder continuity for the parabolic Anderson model with the singular initial conditions