Existence and uniqueness of mild solution to fractional stochastic heat equation

DOI10.15559/18-VMSTA122zbMath1442.60068arXiv1811.12475MaRDI QIDQ2326530

Kostiantyn Ralchenko, Georgiy M. Shevchenko

Publication date: 8 October 2019

Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12475

zbMATH Keywords

Green's functionfractional Brownian motionmild solutionstochastic partial differential equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Nonlinear parabolic equations (35K55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Related Items

Large time behaviour of semilinear stochastic partial differential equations perturbed by a mixture of Brownian and fractional Brownian motions, Estimation of the Hurst and diffusion parameters in fractional stochastic heat equation

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