On some properties of a class of fractional stochastic heat equations

DOI10.1007/s10959-016-0684-6zbMath1408.60053arXiv1404.6791OpenAlexW1730387968WikidataQ59526592 ScholiaQ59526592MaRDI QIDQ1692234

Kuanhou Tian, Wei Liu, Mohammud Foondun

Publication date: 26 January 2018

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6791

zbMATH Keywords

stochastic partial differential equationsstochastic heat equationheat kernelfractional Laplacian

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (10)

Growth moment, stability and asymptotic behaviours of solution to a class of time-fractal-fractional stochastic differential equation ⋮ Moment bounds for some fractional stochastic heat equations on the ball ⋮ The effect of noise intensity on parabolic equations ⋮ Stochastic fractional heat equation perturbed by general Gaussian and non-Gaussian noise ⋮ Hölder continuity for stochastic fractional heat equation with colored noise ⋮ Remarks on non-linear noise excitability of some stochastic heat equations ⋮ On the distribution and q-variation of the solution to the heat equation with fractional Laplacian ⋮ Non-linear noise excitation for some space-time fractional stochastic equations in bounded domains ⋮ Asymptotic behaviour of solution and non-existence of global solution to a class of conformable time-fractional stochastic equation ⋮ Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions

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