The non-Archimedean stochastic heat equation driven by Gaussian noise

DOI10.1007/s00041-014-9383-9zbMath1341.60065arXiv1406.6121OpenAlexW2079662498MaRDI QIDQ498957

Wilson A. Zuniga-Galindo

Publication date: 29 September 2015

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6121

zbMATH Keywords

Gaussian noisestochastic heat equationstochastic integral equation\(p\)-adic fieldsnon-Archimedean functional analysismild random field solutionstochastic pseudodifferential equation

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Pseudodifferential operators as generalizations of partial differential operators (35S05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic integral equations (60H20)

Related Items

Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields, \(p\)-adic mathematical physics: the first 30 years, Heat equations and wavelets on Mumford curves and their finite quotients, \(p\)-adic statistical field theory and deep belief networks, Blow-up phenomena for \(p\)-adic semilinear heat equations, Ultrametric diffusion, exponential landscapes, and the first passage time problem, Heat Traces and Spectral Zeta Functions for $p$-adic Laplacians, Probability density functions and the dynamics of complex systems associated to some classes of non-Archimedean pseudo-differential operators, Non-Archimedean pseudodifferential operators and Feller semigroups, Elementary particles on \(p\)-adic spacetime and temperedness of invariant measures

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