Matching upper and lower moment bounds for a large class of stochastic PDEs driven by general space-time Gaussian noises

DOI10.1007/S40072-022-00278-2zbMATH Open1540.60145MaRDI QIDQ6548533

Yaozhong Hu, Xiong Wang

Publication date: 1 June 2024

Published in: Stochastic and Partial Differential Equations. Analysis and Computations (Search for Journal in Brave)

zbMATH Keywords

Green's functionstochastic heat equationmild solutionintermittencystochastic wave equationgeneral Gaussian noiseFeynman diagram formulaHardy-Littlewood-Sobolev total masssmall ball nondegeneracystochastic fractional diffusionupper and lower moment bounds

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Moment problems and interpolation problems in the complex plane (30E05) PDEs with randomness, stochastic partial differential equations (35R60)

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