Linear additive functionals of superdiffusions and related nonlinear P.D.E.

DOI10.1090/S0002-9947-96-01602-9zbMath0863.60075OpenAlexW1712151833MaRDI QIDQ4889990

S. E. Kuznetsov, E. B. Dynkin

Publication date: 10 June 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01602-9

zbMATH Keywords

boundary value problemsecond order elliptic differential operatorbranching measure-valued processesMartin integraladditive functionals of superdiffusions

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Potentials and capacities on other spaces (31C15) Local time and additive functionals (60J55) Other generalizations (nonlinear potential theory, etc.) (31C45)

Related Items

Initial trace of positive solutions of some nonlinear parabolic equations ⋮ Natural linear additive functionals of superprocesses ⋮ Nonlinear parabolic P.D.E. and additive functionals of superdiffusions ⋮ The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case ⋮ A probabilistic approach to the equation \(Lu=-u^2\) ⋮ Trace on the boundary for solutions of nonlinear differential equations ⋮ Solutions of nonlinear differential equations on a Riemannian manifold and their trace on the Martin boundary

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