Year: 2026
Type: preprint
Abstract: We prove that certain classes of nonlocal integral estimates on domains, involving operators, may be reduced to the local analogues without the singular weight on cubes. The theory applies to two-sided inverse doubling and quasi-monotone kernels with some moment conditions, and with a left-hand-side operator with average domain-bi-Lipschitz properties. Direct applications to fractional semi-norm inequalities in Peridynamics, such as fractional Korn's inequalities and Geometric Rigidity Estimates are presented.
Source: arXiv (Cornell University)
Author: Harutyunyan, Davit
Institution: University of California, Santa Barbara
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W7224833271