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Gerassimos Barbatis
Gerassimos Barbatis
Professor, Department of Mathematics, National and Kapodistrian University of Athens
Verified email at math.uoa.gr - Homepage
Title
Cited by
Cited by
Year
A unified approach to improved L^p Hardy inequalities with best constants
G Barbatis, S Filippas, A Tertikas
Transactions of the American Mathematical Society 356 (6), 2169-2196, 2004
2922004
Series expansion for L^p Hardy inequalities
G Barbatis, S Filippas, A Tertikas
Indiana University Mathematics Journal 52 (1), 171-190, 2003
1152003
Sharp bounds on heat kernels of higher order uniformly elliptic operators
G Barbatis, EB Davies
Journal of Operator Theory 36, 179-198, 1996
661996
Homogenization of Maxwell's equations in dissipative bianisotropic media
G Barbatis, IG Stratis
Mathematical Methods in the Applied Sciences 26 (14), 1241-1253, 2003
492003
On a class of Rellich inequalities
G Barbatis, A Tertikas
Journal of Computational and Applied Mathematics 194 (1), 156-172, 2006
402006
Best constants for higher-order Rellich inequalities in L^p(Ω)
G Barbatis
Mathematische Zeitschrift 255 (4), 877-896, 2007
342007
Critical heat kernel estimates for Schrödinger operators via Hardy–Sobolev inequalities
G Barbatis, S Filippas, A Tertikas
Journal of Functional Analysis 208 (1), 1-30, 2004
312004
Improved Rellich inequalities for the polyharmonic operator
G Barbatis
Indiana University Mathematics Journal 55 (4), 1401-1422, 2006
272006
Stability estimates for resolvents, eigenvalues, and eigenfunctions of elliptic operators on variable domains
G Barbatis, VI Burenkov, PD Lamberti
Around the Research of Vladimir Maz'ya II: Partial Differential Equations, 23-60, 2009
262009
Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients
G Barbatis
Journal of Differential Equations 174 (2), 442-463, 2001
262001
Refined geometric L^p Hardy inequalities
G Barbatis, S Filippas, A Tertikas
Communications in Contemporary Mathematics 5 (6), 869-881, 2003
212003
Sharp heat kernel bounds and Finsler-type metrics
G Barbatis
The Quarterly Journal of Mathematics 49 (3), 261-277, 1998
211998
Higher order linear parabolic equations
G Barbatis, F Gazzola
Recent trends in nonlinear partial differential equations. I. Evolution …, 2013
192013
Bethe–Sommerfeld conjecture for pseudodifferential perturbation
G Barbatis, L Parnovski
Communications in Partial Differential Equations 34 (4), 383-418, 2009
192009
Sharp Hardy and Hardy–Sobolev inequalities with point singularities on the boundary
G Barbatis, S Filippas, A Tertikas
Journal de Mathématiques Pures et Appliquées 117 (9), 146-184, 2018
122018
Sharp heat-kernel estimates for higher-order operators with singular coefficients
G Barbatis
Proceedings of the Edinburgh Mathematical Society 47 (1), 53-67, 2004
102004
Stability of weighted Laplace-Beltrami operators under L^p perturbation of the Riemannian metric
G Barbatis
Journal d'Analyse Mathématique 68 (1), 253-276, 1996
10*1996
Spectral stability under L^p perturbation of the second-order coefficients
G Barbatis
Journal of Differential Equations 124 (2), 302-323, 1996
101996
On the Hardy constant of some non-convex planar domains
G Barbatis, A Tertikas
Geometric Methods in PDE’s, 15-41, 2015
82015
On the Hardy constant of non-convex planar domains: the case of the quadrilateral
G Barbatis, A Tertikas
Journal of Functional Analysis 266 (6), 3701-3725, 2014
82014
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