Title

Isospectrality and Heat Content

Publication Date

2014

Journal

Bulletin of the London Mathematical Society

Volume

46

Issue

4

First Page

793

Last Page

808

Abstract

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.

DOI

10.1112/blms/bdu035

This document is currently not available here.

Share

COinS