A probabilistic approach to the equation \(Lu=-u^2\)

DOI10.1006/JFAN.1999.3514zbMath0944.60081OpenAlexW2012301182MaRDI QIDQ1968737

E. B. Dynkin

Publication date: 18 September 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3514

zbMATH Keywords

superdiffusionlog-potentialprobabilistic interpretation of partial differential equationsstochastic boundary value

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30)

Cites Work

• Unnamed Item
• Superprocesses and partial differential equations
• Stochastic boundary values and boundary singularities for solutions of the equation \(Lu=u^\alpha\)
• Solutions of semilinear differential equations related to harmonic functions
• Linear additive functionals of superdiffusions and related nonlinear P.D.E.

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