A nonlinear stochastic heat equation with variable thermal conductivity and multiplicative noise

DOI10.1007/S11868-022-00453-YzbMath1492.60187OpenAlexW4293240662WikidataQ114221603 ScholiaQ114221603MaRDI QIDQ2133645

Danijela Rajter-Ćirić, Miloš Japundžić

Publication date: 4 May 2022

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-022-00453-y

zbMATH Keywords

variable thermal conductivitystochastic heat equationmultiplicative noiseColombeau generalized stohastic processes

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Fractional partial differential equations (35R11)

Cites Work

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• Generalized uniformly continuous semigroups and semilinear hyperbolic systems with regularized derivatives
• Reaction-advection-diffusion equations with space fractional derivatives and variable coefficients on infinite domain
• Generalized stochastic processes in algebras of generalized functions: independence, stationarity and SPDEs
• Approximate solutions of time and time-space fractional wave equations with variable coefficients
• Heat equation with singular potential and singular data

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