Solvability of parabolic Anderson equation with fractional Gaussian noise
DOI10.1007/s40304-021-00264-5zbMath1520.60031arXiv2101.05997MaRDI QIDQ6169183
Publication date: 14 August 2023
Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05997
stochastic heat equationsufficient conditionfractional Brownian fieldsWiener chaos expansionnecessary conditionmoment boundsrandom field solution
Random fields (60G60) Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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