Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension

DOI10.1214/21-AOP1516zbMath1489.60110arXiv2002.08212OpenAlexW3203937907MaRDI QIDQ2057215

Yimin Xiao, Robert C. Dalang, Carl E. Mueller

Publication date: 8 December 2021

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

Full work available at URL: https://arxiv.org/abs/2002.08212

zbMATH Keywords

hitting probabilitiescritical dimensionnonlinear stochastic partial differential equationspolarity of points

Mathematics Subject Classification ID

Random fields (60G60) Probabilistic potential theory (60J45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

On the rate of escape or approach to the origin of a random string

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions
• Polarity of points for Gaussian random fields
• Multiple points of trajectories of multiparameter fractional Brownian motion
• Brownian sheet and capacity
• Sample functions of the \(N\)-parameter Wiener process
• Hitting properties of a random string
• Potential theory for hyperbolic SPDEs.
• Hausdorff measure of trajectories of multiparameter fractional Brownian motion
• Multiple points of Gaussian random fields
• Hitting probabilities for systems of non-linear stochastic heat equations with multiplicative noise
• Hitting probabilities for nonlinear systems of stochastic waves
• Sharp space-time regularity of the solution to stochastic heat equation driven by fractional-colored noise
• Multiparameter Processes
• Stochastic Equations in Infinite Dimensions
• Classical potential theory and its probabilistic counterpart.

This page was built for publication: Polarity of almost all points for systems of nonlinear stochastic heat equations in the critical dimension