Semilinear parabolic equations, diffusions, and superdiffusions

DOI10.1006/jfan.1998.3298zbMath0916.35053OpenAlexW1982385129MaRDI QIDQ1269511

E. B. Dynkin

Publication date: 26 July 1999

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

Full work available at URL: https://doi.org/10.1006/jfan.1998.3298

zbMATH Keywords

multiplicative functionals\(L^p\) boundary dataabsolute barrierexplosion on the boundarymixed (thermal) potentials

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Fundamental solutions to PDEs (35A08)

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Cites Work

• A probabilistic approach to the trace at the boundary for solutions of a semilinear parabolic partial differential equation
• Superprocesses and partial differential equations
• On the inequality \(\Delta u \geqq f (u)\)
• The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
• Superdiffusion and parabolic nonlinear differential equations
• Lifetime and compactness of range super-Brownian motion with a general branching mechanism
• Positive solutions of Yamabe type equations on complete manifolds and applications
• Nonlinear parabolic P.D.E. and additive functionals of superdiffusions
• Stochastic boundary values and boundary singularities for solutions of the equation \(Lu=u^\alpha\)
• On solutions of δu=f(u)
• LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPE
• An Introduction to Branching Measure-Valued Processes
• A probabilistic Poisson representation for positive solutions of ?u = u2 in a planar domain
• Asymptotic behavior of superprocesses
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