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Probabilistic approach to the Dirichlet problem of second order elliptic PDE

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Publication:581936
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DOI10.1007/BF02009746zbMath0689.60072OpenAlexW2012361960MaRDI QIDQ581936

Renming Song

Publication date: 1989

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02009746


zbMATH Keywords

semigroupSchrödinger equationGreen functionDirichlet problm


Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)




Cites Work

  • A spectral criterion for the finiteness or infiniteness of stopped Feynman-Kac functionals of diffusion processes
  • Uniform bounds for quotients of Green functions on \(C^{1,1}\)-domains
  • On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
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