Add to ORKGWe 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
We make a computational study to know what kind of isospectralities among lens spaces and lens orbif...
On a smooth bounded domain \Omega \subset R^N we consider the Schrödinger operators ?\Delta? V, with...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We present examples of isospectral operators that do not have the same heat content. Several of thes...
Concerning the Laplace operator with homogeneous Dirichlet boundary conditions, the classical notion...
Concerning the Laplace operator with homogeneous Dirichlet boundary conditions, the classical notion...
The best-known negative answer to Mark Kac's question, "Can one hear the shape of a drum?" is a pair...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
We study the heat trace for both Schrodinger operators as well as the drifting Laplacian on compact ...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
Abstract. In this article, we first study the trace for the heat kernel for the sub-Laplacian operat...
We show that non-obtuse trapezoids with identical Neumann spectra are congruent up to rigid motions ...
We construct continuous families of Riemannian metrics on certain simply connected manifolds with th...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We make a computational study to know what kind of isospectralities among lens spaces and lens orbif...
On a smooth bounded domain \Omega \subset R^N we consider the Schrödinger operators ?\Delta? V, with...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We present examples of isospectral operators that do not have the same heat content. Several of thes...
Concerning the Laplace operator with homogeneous Dirichlet boundary conditions, the classical notion...
Concerning the Laplace operator with homogeneous Dirichlet boundary conditions, the classical notion...
The best-known negative answer to Mark Kac's question, "Can one hear the shape of a drum?" is a pair...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
We study the heat trace for both Schrodinger operators as well as the drifting Laplacian on compact ...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
summary:The author gives a survey of the history of isospectral manifolds that are non-isometric dis...
Abstract. In this article, we first study the trace for the heat kernel for the sub-Laplacian operat...
We show that non-obtuse trapezoids with identical Neumann spectra are congruent up to rigid motions ...
We construct continuous families of Riemannian metrics on certain simply connected manifolds with th...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...
We make a computational study to know what kind of isospectralities among lens spaces and lens orbif...
On a smooth bounded domain \Omega \subset R^N we consider the Schrödinger operators ?\Delta? V, with...
We study the microlocal structure of the examples of isospectral deformations of Riemannian manifold...