Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances

DOI10.1007/s00526-022-02240-5zbMath1505.53058arXiv2104.12097OpenAlexW4229074700WikidataQ114017896 ScholiaQ114017896MaRDI QIDQ2135755

Nicolò De Ponti, Sara Farinelli

Publication date: 9 May 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12097

zbMATH Keywords

Hellinger-Kantorovich distanceLaplace eigenfunctionWasserstein distance between eigenfunctions

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Length, area, volume, other geometric measure theory (28A75) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) General theory of distance geometry (51K05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (2)

Minimizing optimal transport for functions with fixed-size nodal sets ⋮ Unique continuation problem on RCD spaces. I

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