Probabilistic analysis of a class of 2D-random heat equations via densities

DOI10.1016/j.aml.2023.108828MaRDI QIDQ6052217

V. Bevia, J. Calatayud, Juan-Carlos Cortés

Publication date: 21 September 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

density functionKarhunen-Loève expansionrandom heat equationmean-square calculus

Mathematics Subject Classification ID

Stochastic analysis (60Hxx) Probability theory and stochastic processes (60-XX) Probabilistic methods, stochastic differential equations (65Cxx)

Cites Work

• A note on the logistic equation subject to uncertainties in parameters
• Random differential equations in science and engineering
• On average controllability of random heat equations with arbitrarily distributed diffusivity
• Analytic-numerical approximating processes of diffusion equation with data uncertainty
• Random Differential Equations in Scientific Computing
• An Introduction to Computational Stochastic PDEs
• POINTWISE CONVERGENCE OF FOURIER SERIES
• Asymptotic Statistics
• A Useful Convergence Theorem for Probability Distributions
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