Publication

Semiclassical Estimates for Eigenvalue Means of Laplacians on Spheres

Joachim Stubbe, Luigi Provenzano
2023
Journal Articles

Abstract

We compute three-term semiclassical asymptotic expansions of counting functions and Riesz-means of the eigenvalues of the Laplacian on spheres and hemispheres, for both Dirichlet and Neumann boundary conditions. Specifically for Riesz-means we prove upper and lower bounds involving asymptotically sharp shift terms, and we extend them to domains of S-d. We also prove a Berezin-Li-Yau inequality for domains contained in the hemisphere S-+(2).

Official source

https://infoscience.epfl.ch/entities/publication/467bb9cc-af4a-4e3c-a9e9-46db23e2df0b

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Semiclassical Estimates for Eigenvalue Means of Laplacians on Spheres

Chat with Graph Search

Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings

An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff-Love shell patches

Hitting with Probability One for Stochastic Heat Equations with Additive Noise