Hölder continuity for stochastic fractional heat equation with colored noise

DOI10.1016/J.SPL.2017.04.020zbMath1377.35295arXiv1608.07721OpenAlexW2964337280MaRDI QIDQ1687188

Kexue Li

Publication date: 22 December 2017

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07721

zbMATH Keywords

Hölder continuitycolored noisestochastic fractional heat equationfractional heat kernel

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11) Heat kernel (35K08)

Related Items (2)

Optimal lower bounds on hitting probabilities for stochastic heat equations in spatial dimension \(k \geq 1\) ⋮ Optimal regularity of SPDEs with additive noise

Cites Work

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• Hölder continuity for parabolic Anderson equation with non-Gaussian noise
• Intermittency for the wave and heat equations with fractional noise in time
• On the chaotic character of the stochastic heat equation. II
• Hölder-continuity for the nonlinear stochastic heat equation with rough initial conditions
• On comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations
• Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
• On weak convergence of stochastic heat equation with colored noise
• Stable estimates for source solution of critical fractal Burgers equation
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• On some properties of a class of fractional stochastic heat equations
• A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution
• Hölder continuity of the solutions for a class of nonlinear SPDE's arising from one dimensional superprocesses
• Stochastic heat equation with multiplicative fractional-colored noise
• Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• On the stochastic heat equation with spatially-colored random forcing
• SPDEs with coloured noise: Analytic and stochastic approaches
• On a class of stochastic partial differential equations

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