The Probabilistic Solution of the Dirichlet Problem for Degenerate Elliptic Equations

• Autorzy: Chuandi Liu , Hiroaki Morimoto
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 35J30: Higher-order elliptic equations
• 60J45: Probabilistic potential theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2006
• Tom: 54
• Numer: 2
• Strony: 163-174

Daty

wydano

2006

Twórcy

autor

Chuandi Liu

• School of Mathematics and Statistics, Southwest University, ChongQing, 400715, China

autor

Hiroaki Morimoto

• Department of Mathematical Sciences, Faculty of Science, Ehime University, Matsuyama 790-0826, Japan

Identyfikatory

DOI

10.4064/ba54-2-8