Markov processes on the Lipschitz boundary for the Neumann and Robin problems

DOI10.1016/j.jmaa.2017.05.051zbMath1373.60128OpenAlexW2181926157MaRDI QIDQ2013076

Speranţa Vlădoiu, Lucian Beznea

Publication date: 3 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.05.051

zbMATH Keywords

Neumann boundary value problemDirichlet-to-Neumann operatorRevuz correspondenceRobin boundary value problemMarkov process on the boundarynormal derivative on Lipschitz domain

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Boundary value problems for second-order elliptic equations (35J25)

Related Items (2)

Harmonic analysis invariants for infinite graphs via operators and algorithms ⋮ A probabilistic approach to a non‐local quadratic form and its connection to the Neumann boundary condition problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Measure-valued branching processes associated with Neumann nonlinear semiflows
• Dirichlet forms and symmetric Markov processes.
• On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets
• The Dirichlet-to-Neumann operator on rough domains
• From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces
• Quasi-continuous functions and Hunt processes
• Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
• Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces
• The Robin and Wentzell-Robin Laplacians on Lipschitz domains
• Markov processes associated with \(L^{p}\)-resolvents and applications to stochastic differential equations on Hilbert space
• Feynman-Kac formula for left continuous additive functionals and extended Kato class measures
• Introduction to the theory of (non-symmetric) Dirichlet forms
• The probabilistic solution of the third boundary value problem for second order elliptic equations
• Measure perturbations of Markovian semigroups
• Skorokhod decomposition of reflected diffusions on bounded Lipschitz domains with singular non-reflection part
• Excessive kernels and Revuz measures
• Numerical solution for the non-linear Dirichlet problem of a branching process
• An analytic approach to the extended Dirichlet space
• Strongly supermedian kernels and Revuz measures
• Probabilistic solution of the general Robin boundary value problem on arbitrary domains
• Potential-theoretical methods in the construction of measure-valued Markov branching processes
• Subordination in the sense of Bochner of \(L^p\)-semigroups and associated Markov processes
• Bounded and \(L^p\)-weak solutions for nonlinear equations of measure-valued branching processes
• Multi-dimensional diffusion and the Markov process on the boundary
• Measure-valued discrete branching Markov processes
• Measure-Valued Branching Markov Processes
• Sectorial forms and degenerate differential operators
• Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien
• On the Robin problem in fractal domains
• Boundary Element Methods
• Smooth measures and regular strongly supermedian kernels generating sub-Markovian resolvents
• Measures not charging polar sets and Schrödinger equations in \(L^p\)

This page was built for publication: Markov processes on the Lipschitz boundary for the Neumann and Robin problems