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
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We study the Dirichlet problem for degenerate elliptic
equations, and show that the probabilistic solution
is a unique viscosity solution.
Keywords:
study dirichlet problem degenerate elliptic equations probabilistic solution unique viscosity solution
Affiliations des auteurs :
Chuandi Liu 1 ; Hiroaki Morimoto 2
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author = {Chuandi Liu and Hiroaki Morimoto},
title = {The {Probabilistic} {Solution} of the {Dirichlet} {Problem
for} {Degenerate} {Elliptic} {Equations}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {163--174},
publisher = {mathdoc},
volume = {54},
number = {2},
year = {2006},
doi = {10.4064/ba54-2-8},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba54-2-8/}
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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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