The Poisson kernel for certain degenerate elliptic operators

DOI10.1016/0022-1236(84)90086-7zbMath0556.35036OpenAlexW2092211891WikidataQ103169831 ScholiaQ103169831MaRDI QIDQ761635

Daniel W. Stroock, Gérard Ben Arous, Shigeo Kusuoka

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90086-7

zbMATH Keywords

Dirichlet problemharmonic measurePoisson kernelHörmander-type nondegeneracynon-characteristic boundarysubordination procedure

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)

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Stratonovich's signatures of Brownian motion determine Brownian sample paths, The differentiation of hypoelliptic diffusion semigroups, Spectral Theory for Random Poincaré Maps, Stochastic calculus and degenerate boundary value problems, Unnamed Item, Last exit decompositions and regularity at the boundary of transition probabilities, Malliavin calculus of Bismut type for fractional powers of Laplacians in semi-group theory, From random Poincaré maps to stochastic mixed-mode-oscillation patterns, The Poincaré maps of a slow-fast stochastic system

Cites Work

• Diffusions conditionnelles. I. Hypoellipticité partielle
• The Dirichlet problem for the Kohn Laplacian on the Heisenberg group. II
• Hypoelliptic second order differential equations
• Un problème aux limites pour une classe d'opérateurs hypoelliptiques du second ordre. (A problem on the limits for a class of second order hypoelliptic operators)
• The partial malliavin calculus and its application to non-linear filtering
• On degenerate elliptic-parabolic operators of second order and their associated diffusions
• Unnamed Item