Graph curvature and Laplacian operators form a vibrant area of research at the intersection of differential geometry and graph theory. The concept of graph curvature, inspired by classical Ricci ...

The study of eigenvalue estimates in Riemannian Geometry is a dynamic area that bridges geometric analysis and spectral theory. Eigenvalue bounds not only characterise the intrinsic geometry of ...

This is a preview. Log in through your library . Abstract ABSTRACT. We introduce the boundary integral operator induced from the fractional Laplace equation on the boundary of a bounded smooth domain.

This paper describes an L1 regularized variational framework for developing a spatially localized basis, compressed plane waves, that spans the eigenspace of a differential operator, for instance, the ...

In the past few decades, the use of phase field-modeling equations for mathematical modeling has progressed. Phase separation has been studied extensively in thermodynamics and materials engineering, ...