The discrete and classical Dirichlet problem

DOI10.1007/s00032-009-0109-4zbMath1205.35021OpenAlexW2009604648MaRDI QIDQ627045

Nicholas Th. Varopoulos

Publication date: 19 February 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-009-0109-4

zbMATH Keywords

Dirichlet problemrandom walkshomogenizationfinite differencesharmonic functions

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Diffusion processes (60J60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Random walks on graphs (05C81)

Related Items (8)

Martin boundary of random walks in convex cones ⋮ Constructing discrete harmonic functions in wedges ⋮ The central limit theorem in Lipschitz domains ⋮ Parabolic singular integrals in probability theory ⋮ Laplace and bi-Laplace equations for directed networks and Markov chains ⋮ Random walks in the quarter plane, discrete harmonic functions and conformal mappings ⋮ Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity ⋮ The discrete and classical Dirichlet problem. II

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