The Robin Mean Value Equation I: A Random Walk Approach to the Third Boundary Value Problem

IF 1 3区 数学 Q1 MATHEMATICS Potential Analysis Pub Date : 2022-07-22 DOI:10.1007/s11118-022-10016-x
M. Lewicka, Y. Peres
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Robin均值方程1:第三边值问题的随机游走方法
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来源期刊
Potential Analysis
Potential Analysis 数学-数学
CiteScore
2.20
自引率
9.10%
发文量
83
审稿时长
>12 weeks
期刊介绍: The journal publishes original papers dealing with potential theory and its applications, probability theory, geometry and functional analysis and in particular estimations of the solutions of elliptic and parabolic equations; analysis of semi-groups, resolvent kernels, harmonic spaces and Dirichlet forms; Markov processes, Markov kernels, stochastic differential equations, diffusion processes and Levy processes; analysis of diffusions, heat kernels and resolvent kernels on fractals; infinite dimensional analysis, Gaussian analysis, analysis of infinite particle systems, of interacting particle systems, of Gibbs measures, of path and loop spaces; connections with global geometry, linear and non-linear analysis on Riemannian manifolds, Lie groups, graphs, and other geometric structures; non-linear or semilinear generalizations of elliptic or parabolic equations and operators; harmonic analysis, ergodic theory, dynamical systems; boundary value problems, Martin boundaries, Poisson boundaries, etc.
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