Random generalized solutions to the heat equation

DOI10.1016/0022-247X(77)90051-8zbMath0363.60042MaRDI QIDQ1240467

Georges A. Becus

Publication date: 1977

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

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (10)

Random heat equation: Solutions by the stochastic adaptive interpolation method ⋮ Using homotopy WHEP technique for solving a stochastic nonlinear diffusion equation ⋮ Random evolution inclusions of the subdifferential type ⋮ Random semilinear system of differential equations with impulses ⋮ Random Semilinear Evolution Equations in Banach Spaces ⋮ Solutions to the random heat equation by the method of successive approximations ⋮ Method for analyzing stochastic heat transfer in a fluid flow ⋮ The approximate solution of a nonlinear diffusion equation using some techniques, a comparison study ⋮ Gaussian Process Modeling of Finite Element Models with Functional Inputs ⋮ Solution of the stochastic heat equation with nonlinear losses using Wiener-Hermite expansion

Cites Work

• Heat conduction in solids with random external temperatures and/or random internal heat generation
• The Random Steady State Diffusion Problem. I: Random Generalized Solutions to Laplace’s Equation
• The Random Steady State Diffusion Problem. II: Random Solutions to Nonlinear, Inhomogeneous, Steady State Diffusion Problems
• The Random Steady State Diffusion Problem. III: Solutions to Random Diffusion Problems by the Method of Random Successive Approximations
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