A+ CATEGORY SCIENTIFIC UNIT

The Probabilistic Solution of the Dirichlet Problem for Degenerate Elliptic Equations

Volume 54 / 2006

Chuandi Liu, Hiroaki Morimoto Bulletin Polish Acad. Sci. Math. 54 (2006), 163-174 MSC: 60J45, 35J30. DOI: 10.4064/ba54-2-8

Abstract

We study the Dirichlet problem for degenerate elliptic equations, and show that the probabilistic solution is a unique viscosity solution.

Authors

  • Chuandi LiuSchool of Mathematics and Statistics
    Southwest University
    ChongQing, 400715, China
    e-mail
  • Hiroaki MorimotoDepartment of Mathematical Sciences
    Faculty of Science
    Ehime University
    Matsuyama 790-0826, Japan
    e-mail

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