Schauder and Cordes–Nirenberg estimates for nonlocal elliptic equations with singular kernels
Year: 2024
Type: article
Abstract: We study integro‐differential elliptic equations (of order ) with variable coefficients, and prove the natural and most general Schauder‐type estimates that can hold in this setting, both in divergence and non–divergence form. Furthermore, we also establish Hölder estimates for general elliptic equations with no regularity assumption on , including for the first‐time operators like , provided that the coefficients have “small oscillation.”
DOI: 10.1112/plms.12629
Authors: Xavier Fernández‐Real, Xavier Ros‐Oton
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $4,520
Funders: National Science Foundation, Scientific Education and Research Institute, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, European Research Council, Agència de Gestió d'Ajuts Universitaris i de Recerca, Staatssekretariat für Bildung, Forschung und Innovation, Agencia Estatal de Investigación, H2020 European Research Council
Awards: G1175115578, G1465780022, G1713115398, G2250497198, G2262748287, G2355262757, Die Haltung der Schweiz im Kalten Krieg (1945-1965), G288263039, G300979063, G3343459796, G34346518, G3480869486, G3681338154, G3827351950, G425668148, G4430097687, G484747973, G5080475149, Elliptic PDEs, free boundary problems, and optimal transport, G5852091828, G7084143925, Regularity and singularities in elliptic PDE's: beyond monotonicity formulas, VLSI-Systeme mit optischen Verbindungen - Vorstudie der technologischen Machbarkeit -, G7657902116, G801577101, G8140700411, G8290070656, G84477964, Regularity issues for the Navier-Stokes equations and for other variational problems, G993971353
OpenAlex ID: W4401787393