Isoperimetric conditions, Poisson problems, and diffusions in Riemannian manifolds

DOI10.1023/A:1012638112132zbMath0992.60075OpenAlexW72337523MaRDI QIDQ5959342

Patrick McDonald

Publication date: 26 March 2002

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1012638112132

zbMATH Keywords

boundary value problemsdiffusionsexit timesisoperimetric conditions

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (19)

Dirichlet spectrum and heat content ⋮ Estimates of the first Dirichlet eigenvalue from exit time moment spectra ⋮ First eigenvalue of the Laplacian of a geodesic ball and area-based symmetrization of its metric tensor ⋮ Green functions and the Dirichlet spectrum ⋮ First Dirichlet eigenvalue and exit time moments: a survey ⋮ Torsional rigidity, isospectrality and quantum graphs ⋮ First Dirichlet eigenvalue and exit time moment spectra comparisons ⋮ A short note on the mean exit time of the Brownian motion ⋮ An overdetermined problem of the biharmonic operator on Riemannian manifolds ⋮ Talenti's comparison theorem for Poisson equation and applications on Riemannian manifold with nonnegative Ricci curvature ⋮ Exit times, moment problems and comparison theorems ⋮ Comparison results, exit time moments, and eigenvalues on Riemannian manifolds with a lower Ricci curvature bound ⋮ Comparison of exit moment spectra for extrinsic metric balls ⋮ On the heat content functional and its critical domains ⋮ Torsional rigidity of submanifolds with controlled geometry ⋮ Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition ⋮ Maximizing mean exit-time of the Brownian motion on Riemannian manifolds ⋮ Dirichlet eigenvalues and exit time moments for symmetric Markov processes ⋮ Diffusions on graphs, Poisson problems and spectral geometry

This page was built for publication: Isoperimetric conditions, Poisson problems, and diffusions in Riemannian manifolds