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Search: MSC category 65M06 ( Finite difference methods )

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1. CJM 2003 (vol 55 pp. 401)

Varopoulos, N. Th.
Gaussian Estimates in Lipschitz Domains
We give upper and lower Gaussian estimates for the diffusion kernel of a divergence and nondivergence form elliptic operator in a Lipschitz domain. On donne des estimations Gaussiennes pour le noyau d'une diffusion, r\'eversible ou pas, dans un domaine Lipschitzien.

Categories:39A70, 35-02, 65M06

2. CJM 2001 (vol 53 pp. 1057)

Varopoulos, N. Th.
Potential Theory in Lipschitz Domains
We prove comparison theorems for the probability of life in a Lipschitz domain between Brownian motion and random walks. On donne des th\'eor\`emes de comparaison pour la probabilit\'e de vie dans un domain Lipschitzien entre le Brownien et de marches al\'eatoires.

Categories:39A70, 35-02, 65M06

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