Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Milakis, Emmanouil"'
Autor:
Andronicou, Savvas, Milakis, Emmanouil
It is proven that if $ (X,d) $ is an arbitrary metric space and $ U $ is a path-connected subset of $ X $ with $M:=\{x_i:\ i\in\{1,2,\dots,k\}\}\subset int(U) $, then the property of path-connectedness is also preserved in the resulting set $ U\setmi
Externí odkaz:
http://arxiv.org/abs/2404.15871
Autor:
Andronicou, Savvas, Milakis, Emmanouil
In this article we prove that if $ X $ is a normed space and $ U $ is a polygonally-connected subset of $ X $ with $M:=\{S_i:\ i\in I\}\subset \mathcal{P}\left( U\right) $, a non-empty arbitrary family of discrete, non-empty subsets of $ U, $ then th
Externí odkaz:
http://arxiv.org/abs/2404.15788
The non-local in space two-phase Stefan problem (a prototype in phase change problems) can be formulated via a singular nonlinear parabolic integro-differential equation which admits a unique weak solution. This formulation makes Stefan problem to be
Externí odkaz:
http://arxiv.org/abs/2111.15600
Autor:
Labourie, Camille, Milakis, Emmanouil
We provide minimality criteria by construction of calibrations for functionals arising in the theory of Thermal Insulation.
Comment: We added an appendix to justify the method. We added more explanations and an additional appendix to show how to
Comment: We added an appendix to justify the method. We added more explanations and an additional appendix to show how to
Externí odkaz:
http://arxiv.org/abs/2106.04955
Autor:
Labourie, Camille, Milakis, Emmanouil
We prove the higher integrability of the gradient for minimizers of the thermal insulation problem, an analogue of De Giorgi's conjecture for the Mumford-Shah functional. We deduce that the singular part of the free boundary has Hausdorff dimension s
Externí odkaz:
http://arxiv.org/abs/2101.09692
We obtain up to a flat boundary regularity results in parabolic H\"{o}lder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions.
Comment: Minor corrections on the published version. Online first
Comment: Minor corrections on the published version. Online first
Externí odkaz:
http://arxiv.org/abs/1902.02847
Publikováno v:
In Advances in Mathematics 17 September 2022 406
In the class of the so called non-dynamic Fractional Obstacle Problems of parabolic type, it is shown how to obtain higher regularity as well as optimal regularity of the space derivatives of the solution. Furthermore, at free boundary points of posi
Externí odkaz:
http://arxiv.org/abs/1612.09092
In a wide class of the so called Obstacle Problems of parabolic type it is shown how to improve the optimal regularity of the solution and as a consequence how to obtain space-time regularity of the corresponding free boundary.
Comment: 48 pages
Comment: 48 pages
Externí odkaz:
http://arxiv.org/abs/1601.01516
We study the boundary regularity of solutions to divergence form operators which are small perturbations of operators for which the boundary regularity of solutions is known. An operator is a small perturbation of another operator if the deviation fu
Externí odkaz:
http://arxiv.org/abs/1210.5591