Isospectrality and Heat Content

Authors

M. van den Berg
Emily Dryden, Bucknell UniversityFollow
T. Kappeler

Publication Date

2014

Description

We present examples of isospectral operators that do not have the same heat content. Several of these examples are planar polygons that are isospectral for the Laplace operator with Dirichlet boundary conditions. These include examples with infinitely many components. Other planar examples have mixed Dirichlet and Neumann boundary conditions. We also consider Schrodinger operators acting in L-2[0,1] with Dirichlet boundary conditions, and show that an abundance of isospectral deformations do not preserve the heat content.

Journal

Bulletin of the London Mathematical Society

Volume

46

Issue

4

First Page

793

Last Page

808

Department

Mathematics

Link to Published Version

dx.doi.org/10.1112/blms/bdu035

DOI

10.1112/blms/bdu035

Recommended Citation

van den Berg, M.; Dryden, Emily; and Kappeler, T.. "Isospectrality and Heat Content." Bulletin of the London Mathematical Society (2014) : 793-808.