Measure-valued branching processes associated with Neumann nonlinear semiflows

DOI10.1016/j.jmaa.2016.04.005zbMath1381.35099arXiv1803.05639OpenAlexW2963842113MaRDI QIDQ275291

Lucian Beznea, Viorel Barbu

Publication date: 25 April 2016

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

Full work available at URL: https://arxiv.org/abs/1803.05639

zbMATH Keywords

branching processnonlinear semigroupboundary processnegative definite functionNeumann nonlinear semiflowreflected Brownian motion

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Markov semigroups and applications to diffusion processes (47D07) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) PDEs with measure (35R06)

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Numerical solution for the non-linear Dirichlet problem of a branching process, Stochastic solutions to evolution equations of non-local branching processes, \(h\)-transform of Doob and nonlocal branching processes, Markov processes on the Lipschitz boundary for the Neumann and Robin problems, Continuous flows driving branching processes and their nonlinear evolution equations

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