4 papers
A Dynkin condition for manifolds with boundary
Marie Bormann, David Tewodrose
We propose a Dynkin-type condition for smooth Riemannian manifolds with boundary. We show that this condition implies bi-Lipschitz equivalence with a Bakry-Ãmery weighted Riemanni…
Functional Inequalities for doubly weighted Brownian Motion with Sticky-Reflecting Boundary Diffusion
Marie Bormann
We give upper bounds for the Poincaré and Logarithmic Sobolev constants for doubly weighted Brownian motion on manifolds with sticky reflecting boundary diffusion under curvature…
A gradient flow that is none: Heat flow with Wentzell boundary condition
Marie Bormann, Léonard Monsaingeon, D. R. Michiel Renger +1
We establish a representation of the heat flow with Wentzell boundary conditions on smooth domains as gradient descent dynamics for the entropy in a suitably extended Otto manifold…
A Cheeger-type inequality for the drift Laplacian with Wentzell-type boundary condition
Marie Bormann
We prove lower bounds for the first non-trivial eigenvalue of the drift Laplacian on manifolds with Wentzell-type boundary condition in terms of some Cheeger-type constants for bul…