Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents
Analysis of PDEs
2024-08-20 v1
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.
Cite
@article{arxiv.2408.09170,
title = {Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents},
author = {Sabri Bahrouni and Julian Fernandez Bonder and Ignacio Ceresa Dussel and Olimpio Miyagaki},
journal= {arXiv preprint arXiv:2408.09170},
year = {2024}
}