The Vanishing of the Fundamental Gap of Convex Domains in Hⁿ

Authors

Theodora Bourni, The University of Tennessee, Knoxville
Julie Clutterbuck, Monash University
Xuan Hien Nguyen, Iowa State University
Alina Stancu, Concordia University
Guofang Wei, University of California, Santa Barbara
Valentina Mira Wheeler, University of Wollongong

Publication Name

Annales Henri Poincare

Abstract

For the Laplace operator with Dirichlet boundary conditions on convex domains in Hn, n≥ 2 , we prove that the product of the fundamental gap with the square of the diameter can be arbitrarily small for domains of any diameter.

Open Access Status

This publication may be available as open access

Funding Number

DE190100379

Funding Sponsor

National Science Foundation