Regularizing effects of absorption terms in local-nonlocal mild singular problems
Stefano Biagi, Enzo Maria Merlino, Eugenio Vecchi
TL;DR
This paper proves existence, uniqueness, and comparison principles for solutions to singular local-nonlocal problems with absorption, demonstrating improved summability properties of solutions.
Contribution
It introduces new existence and uniqueness results for singular problems with absorption driven by local-nonlocal operators, along with a Talenti-type comparison principle.
Findings
Existence and uniqueness of energy solutions established.
Comparison principle e0 la Talenti proved.
Solutions exhibit a gain in summability.
Abstract
In this paper we prove existence and uniqueness of energy solutionns for singular problems with absorption driven by local-nonlocal operators. Moreover, we establish a comparison principle \`a la Talenti, leading to a gain of summability result for the solutions of these problems.
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Taxonomy
TopicsNumerical methods in inverse problems · Differential Equations and Boundary Problems · Numerical methods in engineering