Brownian motion in a convex ring and quasi-concavity
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Publication:1052752
DOI10.1007/BF01205665zbMath0516.60084MaRDI QIDQ1052752
Publication date: 1982
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Brownian motion (60J65) Probabilistic potential theory (60J45) Higher-dimensional potential theory (31B99)
Related Items (20)
On concavity of solutions of the nonlinear Poisson equation ⋮ On the microscopic spacetime convexity principle for fully nonlinear parabolic equations II: Spacetime quasiconcave solutions ⋮ A quasiconcavity property for the heat equation in a convex ring ⋮ A generalization of Caffarelli's contraction theorem via (reverse) heat flow ⋮ Non-preservation of \(\alpha\)-concavity for the porous medium equation ⋮ A constant rank theorem for spacetime convex solutions of heat equation ⋮ A microscopic convexity principle for spacetime convex solutions of fully nonlinear parabolic equations ⋮ Brownian motion with negative drift and convex level sets in space-time ⋮ Local quasi-concavity of the solutions of the heat equation with a nonnegative potential ⋮ On Space-Time Quasiconcave Solutions of the Heat Equation ⋮ On the microscopic spacetime convexity principle of fully nonlinear parabolic equations. I: Spacetime convex solutions ⋮ Curvature estimates for the level sets of spatial quasiconcave solutions to a class of parabolic equations ⋮ Strong space-time convexity and the heat equation ⋮ Convexity of level sets and a two-point function ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems ⋮ Parabolic quasi-concavity for solutions to parabolic problems in convex rings ⋮ The Stefan problem and concavity ⋮ Starshapedness of Level Sets for the Obstacle Problem and for the Capacitory Potential Problem ⋮ Capacitary inequalities of the Brunn-Minkowski type ⋮ Hitting probabilities of killed brownian motion : a study on geometric regularity
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