Doctoral Thesis Title: Boundary Value Problems in Lipschitz Domains for Equations with Drifts
Supervisor: Prof. Carlos Kenig
M.Sc. in Mathematics, The University of Chicago, 2013
B.Sc. in Mathematics, Ethnikon & Kapodistriakon Panepistimion Athinon, Athens, 2011
Professional Experience
Assistant Professor, Aristotle University of Thessaloniki, June 2022 – Today
Post Doctoral, Institut de Matemàtica, Universitat de Barcelona, February 2021 – March 2021
Post Doctoral, Departament de Matemàtiques, Universitat Autònoma de Barcelona, P-Sphere Marie Curie fellow, 2017 – 2020
Research Interests
Partial differential equations
Selected Publications
Sakellaris, G. (2021). Scale invariant regularity estimates for second order elliptic equations with lower order coefficients in optimal spaces. Journal de Mathématiques Pures et Appliquées, 156, 179-214.
Engelstein, M., Kauranen, A., Prats, M., Sakellaris, G. and Sire, Y. (2021). Minimizers for the Thin One‐Phase Free Boundary Problem. Communications on Pure and Applied Mathematics, 74 (9), 1971-2022.
Sakellaris, G. (2021). On scale-invariant bounds for the Green’s function for second-order elliptic equations with lower-order coefficients and applications. Analysis & PDE, 14 (1), 251-299.
Sakellaris, G. (2019). Boundary value problems in Lipschitz domains for equations with lower order coefficients. Transactions of the American Mathematical Society, 372 (8), 5947-5989.
Kim, S. and Sakellaris, G. (2019). Green’s function for second order elliptic equations with singular lower order coefficients. Communications in Partial Differential Equations, 44 (3), 228-270.
