On nonlocal perturbations of integral kernels
Krzysztof Bogdan, Sebastian Sydor
TL;DR
This paper establishes conditions under which nonlocal perturbations of integral kernels remain comparable to the original kernels over time, aiding in understanding their stability and behavior.
Contribution
It provides new sufficient conditions for nonlocal perturbations to preserve local-in-time comparability of integral kernels.
Findings
Identifies criteria for kernel stability under perturbations
Ensures local-in-time comparability is maintained
Contributes to the theory of integral kernel perturbations
Abstract
We give sufficient conditions for a nonlocal perturbation of an integral kernel to be locally in time comparable with the kernel.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Advanced Mathematical Modeling in Engineering · Differential Equations and Numerical Methods