A probabilistic formula for gradients of solutions of hypoelliptic Dirichlet problems

DOI10.1007/s40879-022-00544-6zbMath1497.35134OpenAlexW4281293604WikidataQ113891381 ScholiaQ113891381MaRDI QIDQ2157485

Giuseppe Da Prato, Luciano Tubaro

Publication date: 22 July 2022

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-022-00544-6

zbMATH Keywords

Dirichlet problemhypoelliptic operatorsstrong Feller property

Mathematics Subject Classification ID

Brownian motion (60J65) Second-order elliptic equations (35J15) Stochastic analysis (60H99) Feller processes (60G53)

Cites Work

• Surface measures in infinite dimension
• Construction of a surface integral under local Malliavin assumptions, and related integration by parts formulas
• Gaussian Measure of Translated Balls in a Banach Space
• Real Analysis and Probability
• Stochastic Equations in Infinite Dimensions
• Mathematical control theory: an introduction
• Second order PDE's in finite and infinite dimension
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