Bounded and \(L^p\)-weak solutions for nonlinear equations of measure-valued branching processes

DOI10.1016/j.na.2014.04.020zbMath1297.35213OpenAlexW2014174864MaRDI QIDQ2453599

Lucian Beznea, Andrei-George Oprina

Publication date: 10 June 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.04.020

zbMATH Keywords

nonlinear PDEcontinuous additive functional\(L^p\)-resolventmeasure perturbationRevuz correspondencenonlinear Dirichlet problembranching kernelmeasure-valued Markov processspace of finite configurations\(L^p\)-weak solutiondiscrete branching process

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Boundary value problems for nonlinear higher-order PDEs (35G30) Axiomatic potential theory (31D05) Probabilistic potential theory (60J45) NLS equations (nonlinear Schrödinger equations) (35Q55) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35) Multiplicative functionals and Markov processes (60J57) Superprocesses (60J68) PDEs with measure (35R06)

Related Items

Measure-valued branching processes associated with Neumann nonlinear semiflows, 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, Branching processes for the fragmentation equation, Measure-valued discrete branching Markov processes, From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes, Continuous flows driving branching processes and their nonlinear evolution equations

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