Nonlinear PDEs and measure-valued branching type processes

DOI10.1016/j.jmaa.2010.10.034zbMath1252.35286OpenAlexW2084983529MaRDI QIDQ638455

Lucian Beznea, Andrei-George Oprina

Publication date: 12 September 2011

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.2010.10.034

zbMATH Keywords

resolventcontinuous additive functionalright processinfinitesimal operatorbranching kernelkilling kernelnonlinear semigroup of operators

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (14)

Measure-valued branching processes associated with Neumann nonlinear semiflows ⋮ Stochastic equation of fragmentation and branching processes related to avalanches ⋮ On Bochner-Kolmogorov Theorem ⋮ Numerical solution for the non-linear Dirichlet problem of a branching process ⋮ Potential-theoretical methods in the construction of measure-valued Markov branching processes ⋮ Stochastic solutions to evolution equations of non-local branching processes ⋮ \(h\)-transform of Doob and nonlocal branching processes ⋮ On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets ⋮ Bounded and \(L^p\)-weak solutions for nonlinear equations of measure-valued branching processes ⋮ Numerical approach for stochastic differential equations of fragmentation; application to avalanches ⋮ 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

Cites Work

• Correction to ``Construction and regularity of measure-valued Markov branching processes
• Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces
• Feynman-Kac formula for left continuous additive functionals and extended Kato class measures
• Local operators and Markov processes
• Renaissance, recollements, mélanges, ralentissement de processus de Markov
• Branching measure-valued processes
• Homogeneous random measures and strongly supermedian kernels of a {M}arkov process
• Potential-theoretical methods in the construction of measure-valued Markov branching processes
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• Branching Markov processes. III
• Markov processes with creation of particles
• Construction of branching Markov processes with age and sign
• Measures not charging polar sets and Schrödinger equations in \(L^p\)
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