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.
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
@article{10_4064_ba54_2_8,
     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/}
}
TY  - JOUR
AU  - Chuandi Liu
AU  - Hiroaki Morimoto
TI  - The Probabilistic Solution of the Dirichlet Problem
for Degenerate Elliptic Equations
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2006
SP  - 163
EP  - 174
VL  - 54
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba54-2-8/
DO  - 10.4064/ba54-2-8
LA  - en
ID  - 10_4064_ba54_2_8
ER  - 
%0 Journal Article
%A Chuandi Liu
%A Hiroaki Morimoto
%T The Probabilistic Solution of the Dirichlet Problem
for Degenerate Elliptic Equations
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2006
%P 163-174
%V 54
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba54-2-8/
%R 10.4064/ba54-2-8
%G en
%F 10_4064_ba54_2_8
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. http://geodesic.mathdoc.fr/articles/10.4064/ba54-2-8/

Cité par Sources :