Singularly perturbed dirichlet problems in randomly perforated domains

DOI10.1080/03605300008821517zbMath0946.35025OpenAlexW2012470622MaRDI QIDQ4947030

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Publication date: 28 May 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821517

zbMATH Keywords

singular perturbationsFeynman-Kac formularandomly perforated domainWiener sausage formula

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (1)

An evolutionary weighted $p$-Laplacian with Neumann boundary value condition in a perforated domain

Cites Work

• Random media and eigenvalues of the Laplacian
• On an elaboration of M. Kac's theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles
• Propriétés d'intersection des marches aléatoires. I: Convergence vers le temps local d'intersection. (Properties of intersection of random walks. I: Convergence to local time intersection)
• Fluctuation results for the Wiener sausage
• Potential and scattering theory on wildly perturbed domains
• Probabilistic methods in some problems of scattering theory
• Averaging for diffusions with fine-grained boundaries
• On the volume of the Wiener sausage
• The effective sink strength of a random array of voids in irradiated material
• Long time asymptotics for the shrinking wiener sausage

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