Mean Field and Gaussian Approximation for Partial Differential Equations with Random Coefficients

DOI10.1137/0142074zbMath0498.60066OpenAlexW2117440981MaRDI QIDQ3963808

Rodolfo Figari, Enza Orlandi, George S. Papanicolaou

Publication date: 1982

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0bc06c717719980c21e1f1222380b5298460635c

zbMATH Keywords

central limit theoremGaussian fluctuationsfluctuations around the solution of the averaged problemLaplace equation with random potential

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items (9)

Annealed estimates on the Green functions and uncertainty quantification ⋮ Pointwise two-scale expansion for parabolic equations with random coefficients ⋮ Fluctuations in the homogenization of semilinear equations with random potentials ⋮ Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media ⋮ Fluctuations in 1D stochastic homogenization of pseudo-elliptic equations with long-range dependent potentials ⋮ Fluctuation of Solutions to Linear Elliptic Equations with Noisy Diffusion Coefficients ⋮ Buckling of randomly imperfect beams ⋮ Convergence to SPDEs in Stratonovich form ⋮ Fluctuations of parabolic equations with large random potentials

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