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ΚΑΘΗΓΗΤΗΣ/ΡΙΑ
Τμήμα Μαθηματικών και Στατιστικής
ΘΕΕ 02 - Σχολή Θετικών και Εφαρμοσμένων Επιστημών, 062
Πανεπιστημιούπολη
Διδακτορικό Δίπλωμα 2006, Μεταπτυχιακό Δίπλωμα Ειδικεύσεως 2001, Πτυχίο στα Μαθηματικά 1999 Πανεπιστήμιο Κρήτης
Ακαδημαϊκές θέσεις:
2023- Πανεπιστήμιο Κύπρου, Καθηγητής
2018-2023 Πανεπιστήμιο Κύπρου, Αναπληρωτής Καθηγητής
2013-2018 Πανεπιστήμιο Κύπρου, Επίκουρος Καθηγητής
2009-2013 Πανεπιστήμιο Κύπρου, Λέκτορας
2006-2009 University of Washington, Εν. Επίκουρος Καθηγητής
2004-2005 University of Texas, Βοηθός Ερευνητής
Μερικές Διαφορικές Εξισώσεις, Προβλήματα Ελευθέρων Συνόρων, Γεωμετρική Θεωρία Μέτρου.
- The Two-Phase Stefan problem with Anomalous Diffusion, (with I. Athanasopoulos and L. Caffarelli) Advances in Math. 406 (2022) 108527.
- The calibration method for the Thermal Insulation Functional, (with C. Labourie). ESAIM: Control, Optimisation & Calculus of Variations (2022).
- Higher Integrability of the gradient for the Thermal Insulation Problem, (with C. Labourie). Interfaces & Free Boundaries (2022).
- Regularity for Fully Nonlinear Parabolic Equations with Oblique Boundary Data (with G. Chatzigeorgiou). Rev. Mat. Iberoam. 37 (2021), 2, 775-820.
- Parabolic Obstacle Problems. Quasi-convexity Regularity, (with I. Athanasopoulos and L. Caffarelli). Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) (2019) Vol XIX 1-45.
- On the regularity of the Non-dynamic Fractional Obstacle Problem, (with I. Athanasopoulos and L. Caffarelli). J. Differential Equations (2018), 265, no 6, 2614-2647.
- Perturbations of Elliptic Operators in Chord Arc Domains. (with J. Pipher and T. Toro) Contemporary Math. 612 (2014), 143--161.
- Harmonic Analysis on Chord Arc Domains. (with J. Pipher and T. Toro) J. Geom. Anal. 23 (2013), no. 4, 2091--2157.
- On the extension property of Reifenberg-flat domains (with A. Lemenant and L. Spinolo) Ann. Acad. Sci. Fenn. Math., 39 (2014), no 1. 51-71.
- Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains (with A. Lemenant and L. Spinolo) Journal of Functional Analysis, 264 (2013), pp. 2097--2135.
- A stability result for nonlinear Neumann problems in Reifenberg flat domains in $mathbb{R}^{N}$. (with A. Lemenant) Publicacions Matem'{a}tiques 55 (2011), no. 2, 413--432.
- Quantitative stability for the first Dirichlet eigenvalue in Reifenberg flat domains in $mathbb{R}^N$. (with A. Lemenant) J. Math. Anal. Appl. 364 (2010), pp. 522-533.
- Divergence form operators in Reifenberg flat domains. (with T. Toro) Mathematische Zeitschrift 264 (2010), no. 1, 15--41.
- Fully nonlinear phase transition problems with flat free boundaries. Differential Integral Equations 23 (2010), no. 1-2, 93--112.
- Optimal regularity in lower dimensional obstacle problems with variable coefficients. Unpublished manuscript (2009), available upon request.
- Regularity for the nonlinear Signorini problem (with L. Silvestre) Advances in Math. 217 (2008), 1301--1312.
- Regularity for fully nonlinear elliptic equations with Neumann boundary data (with L. Silvestre) Comm. Partial Differential Equations 31 (2006), no. 7-9, 1227--1252.
- On the regularity of optimal sets in mass transfer problems, Comm. Partial Differential Equations 31 (2006), no. 4-6, 817--826.
- Lipschitz regularity of viscosity solutions in some nonlinear parabolic-free boundary problems, Differential & difference equations and applications, (2006), 787--793.
- Two-phase transition problems for fully nonlinear parabolic equations of second order, Indiana Univ. Math. J. 54 No. 6 (2005), 1751--1770.
- Boundary Value Problems for Quasilinear Second Order Ordinary Differential equations, Nonlinear Analysis TMA 60 (2005) 149-162.