paper

Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents

arXiv:2408.09170

Abstract

In this paper, our primary objective is to develop the peridynamic fractional Sobolev space and establish novel BBM-type results associated with it. We also address the peridynamic fractional anisotropic Laplacian. A secondary objective is to explore anisotropic fractional Sobolev spaces with variable exponents, where we also derive new BBM-type results. Additionally, we address the eigenvalue problem in the isotropic case.

Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents · wovepaper