Exit time, Green function and semilinear elliptic equations

DOI10.1214/EJP.v14-597zbMath1190.60056MaRDI QIDQ1039094

Siva R. Athreya, Zhen-Qing Chen, Rami Atar

Publication date: 20 November 2009

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227743

zbMATH Keywords

Schauder's fixed point theoremBrownian motionground statesemilinear elliptic equationexit timeDirichlet LaplacianLipschitz domainGreen function estimatesFeynman-Kac transformboundary harnack principle

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Applications of stochastic analysis (to PDEs, etc.) (60H30) Probabilistic potential theory (60J45)

Related Items (6)

Estimates for Dirichlet heat kernels, intrinsic ultracontractivity and expected exit time on Lipschitz domains ⋮ Fractional Schrödinger equation in bounded domains and applications ⋮ Non-extinction of a Fleming-Viot particle model ⋮ Positive solutions to sublinear elliptic problems ⋮ Pointwise estimates of solutions to semilinear elliptic equations and inequalities ⋮ Sublinear elliptic problems under radiality. Harmonic \textit{NA} groups and Euclidean spaces

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