Geodesic
The Probabilistic Solution of the Dirichlet Problem for Degenerate Elliptic Equations
Chuandi Liu 1   ; Hiroaki Morimoto 2
1 School of Mathematics and Statistics Southwest University ChongQing, 400715, China
2 Department of Mathematical Sciences Faculty of Science Ehime University Matsuyama 790-0826, Japan
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 2, pp. 163-174 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the Dirichlet problem for degenerate elliptic equations, and show that the probabilistic solution is a unique viscosity solution.
DOI : 10.4064/ba54-2-8
Keywords: study dirichlet problem degenerate elliptic equations probabilistic solution unique viscosity solution

Chuandi Liu  1   ; Hiroaki Morimoto  2

1 School of Mathematics and Statistics Southwest University ChongQing, 400715, China
2 Department of Mathematical Sciences Faculty of Science Ehime University Matsuyama 790-0826, Japan 
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     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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Chuandi Liu; Hiroaki Morimoto. The Probabilistic Solution of the Dirichlet Problem
for Degenerate Elliptic Equations. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) no. 2, pp. 163-174. doi: 10.4064/ba54-2-8

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