On a stochastic partial differential equation with non-local diffusion

DOI10.1007/s11118-007-9052-6zbMath1120.60059arXivmath/0510107OpenAlexW3100880011WikidataQ115381443 ScholiaQ115381443MaRDI QIDQ2641460

Pascal Azerad, Mohamed Mellouk

Publication date: 20 August 2007

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510107

zbMATH Keywords

Fourier transformFractional derivative operatorSpace-time white noiseStochastic partial differential equationNonlocal diffusion

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (8)

On a stochastic fractional partial differential equation driven by a Lévy space-time white noise ⋮ SPDEs with \(\alpha\)-stable Lévy noise: a random field approach ⋮ On a stochastic fractional partial differential equation with a fractional noise ⋮ Fractional SPDEs driven by spatially correlated noise: existence of the solution and smoothness of its density ⋮ Stochastic fractional Anderson models with fractional noises ⋮ A regularity theory for stochastic partial differential equations driven by multiplicative space-time white noise with the random fractional Laplacians ⋮ Regularity of a stochastic fractional delayed reaction-diffusion equation driven by Lévy noise ⋮ Dynamics of stochastic fractional Boussinesq equations

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized solutions of a class of nuclear-space-valued stochastic evolution equations
• On the martingale problem for generators of stable processes with perturbations
• Modified dissipativity for a non-linear evolution equation arising in turbulence
• Stochastic integrals in the plane
• Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Global solution and smoothing effect for a non-local regularization of a hyperbolic equation.
• Growing fractal interfaces in the presence of self-similar hopping surface diffusion
• [https://portal.mardi4nfdi.de/wiki/Publication:4043914 Diffusion processes associated with L�vy generators]
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: On a stochastic partial differential equation with non-local diffusion