Absolute continuity results for superdiffusions with applications to differential equations

DOI10.1016/j.crma.2004.01.028zbMath1101.35031OpenAlexW2089577353MaRDI QIDQ1876811

E. B. Dynkin

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.01.028

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Abstract differentiation theory, differentiation of set functions (28A15) Classical measure theory (28A99)

Related Items (3)

On upper bounds for positive solutions of semilinear equations ⋮ Capacitary estimates of positive solutions of semilinear elliptic equations with absorption ⋮ A new inequality for superdiffusions and its applications to nonlinear differential equations

Cites Work

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• Branching particle systems and superprocesses
• Harmonic functions and exit boundary of superdiffusion.
• Poisson capacities
• Classification and probabilistic representation for the positive solutions of a semilinear elliptic equation.

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