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20242026
most citedA gradient flow that is none: Heat flow with Wentzell boundary condition

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.DG2026

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-Émery weighted Riemannia…

math.AP2025★ 1 cited

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…

math.PR2025

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…

math.PR2024

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…

math.PR2024

Functional Inequalities for Brownian Motion on Riemannian Manifolds with Sticky-Reflecting Boundary Diffusion

Marie Bormann, Max von Renesse, Feng-Yu Wang

We prove geometric upper bounds for the Poincaré and Logarithmic Sobolev constants for Brownian motion on manifolds with sticky reflecting boundary diffusion i.e. extended Wentzell…