Remarks on non-linear noise excitability of some stochastic heat equations

DOI10.1016/j.spa.2014.04.015zbMath1301.60073arXiv1402.0084OpenAlexW2592166251MaRDI QIDQ404134

Mathew Joseph, Mohammud Foondun

Publication date: 4 September 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0084

zbMATH Keywords

stochastic partial differential equations

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 (12)

Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems ⋮ Space-time fractional Anderson model driven by Gaussian noise rough in space ⋮ Moment bounds for some fractional stochastic heat equations on the ball ⋮ The effect of noise intensity on parabolic equations ⋮ Intermittency for stochastic partial differential equations driven by strongly inhomogeneous space-time white noises ⋮ Moment bounds for a generalized Anderson model with Gaussian noise rough in space ⋮ Solving a nonlinear fractional SPDE with spatially inhomogeneous white noise ⋮ On some properties of a class of fractional stochastic heat equations ⋮ Intermittency and stochastic pseudo-differential equation with spatially inhomogeneous white noise ⋮ Some effects of the noise intensity upon non-linear stochastic heat equations on \([0, 1\)] ⋮ Exponential behavior and upper noise excitation index of solutions to evolution equations with unbounded delay and tempered fractional Brownian motions ⋮ Non-linear noise excitation and intermittency under high disorder

Cites Work

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• On some properties of a class of fractional stochastic heat equations
• Nonlinear noise excitation of intermittent stochastic PDEs and the topology of LCA groups
• Diffusions and Elliptic Operators
• Non-linear noise excitation and intermittency under high disorder

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