Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Alpár Richárd Mészáros"'
Publikováno v:
Archive for rational mechanics and analysis, 2020, Vol.239(1), pp.389-430 [Peer Reviewed Journal]
Inspired by recent works on the threshold dynamics scheme for multi-phase mean curvature flow (by Esedo\={g}lu-Otto and Laux-Otto), we introduce a novel framework to approximate solutions of the Muskat problem with surface tension. Our approach is ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7d9f10d7629b89e48ce39e2f095938de
https://doi.org/10.1007/s00205-020-01579-3
https://doi.org/10.1007/s00205-020-01579-3
Publikováno v:
SIAM journal on mathematical analysis, 2018, Vol.50(1), pp.1255-1277 [Peer Reviewed Journal]
We consider the variational approach to prove the existence of solutions of second-order stationary Mean Field Games systems on a bounded domain $\Omega\subseteq {\mathbb R}^{d}$ with Neumann boundary conditions and with and without density constrain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bbac1b5253c5ecdbab771dbdb212aef8
https://doi.org/10.1137/17m1125960
https://doi.org/10.1137/17m1125960
Publikováno v:
Calculus of variations and partial differential equations, 2019, Vol.58(3), pp.115 [Peer Reviewed Journal]
In this paper, using variational approaches, we investigate the first order planning problem arising in the theory of mean field games. We show the existence and uniqueness of weak solutions of the problem in the case of a large class of Hamiltonians
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4348ec6df02834ac241e041d7d6fce4d
https://doi.org/10.1007/s00526-019-1561-9
https://doi.org/10.1007/s00526-019-1561-9
Autor:
Alpár Richárd Mészáros, Dohyun Kwon
Publikováno v:
Journal of the London Mathematical Society, 2021, Vol.104(2), pp.688-746 [Peer Reviewed Journal]
This paper is devoted to the study of some nonlinear parabolic equations with discontinuous diffusion intensities. Such problems appear naturally in physical and biological models. Our analysis is based on variational techniques and in particular on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1453351e6586b2d947c4a078166b902
Publikováno v:
Annales de l'Institut Henri Poincaré C, analyse non linéaire, 2018, Vol.35(6), pp.1557-1576 [Peer Reviewed Journal]
In this paper we obtain Sobolev estimates for weak solutions of first order variational Mean Field Game systems with coupling terms that are local functions of the density variable. Under some coercivity conditions on the coupling, we obtain first or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38a876b095a4bb4d0b30aba4ec57454b
https://doi.org/10.1016/j.anihpc.2018.01.002
https://doi.org/10.1016/j.anihpc.2018.01.002
Autor:
Alpár Richárd Mészáros, K. Shamseddine
Publikováno v:
Journal of Contemporary Mathematical Analysis. 50:53-62
Because of the disconnectedness of a non-Archimedean ordered field in the topology induced by the order, it is possible to have non-constant functions with zero derivatives everywhere. In fact the solution space of the differential equation y′ = 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab0dde6b195e031ca9a57d8bf48402cd
https://doi.org/10.3103/s1068362315020016
https://doi.org/10.3103/s1068362315020016
Autor:
Szilárd András, Alpár Richárd Mészáros
Publikováno v:
Applied Mathematics and Computation. 229:131-138
In the present paper we study the Ulam-Hyers stability of some elliptic partial differential equations on bounded domains with Lipschitz boundary. We use direct techniques and also some abstract methods of Picard operators. The novelty of our approac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e7ea52145e619ece02f16e46c4c8e57
https://doi.org/10.1016/j.amc.2013.12.021
https://doi.org/10.1016/j.amc.2013.12.021
Autor:
Szilárd András, Alpár Richárd Mészáros
Publikováno v:
Mathematical Inequalities & Applications. :159-174
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84250e593438b4a40b893f51969f5aca
https://doi.org/10.7153/mia-16-12
https://doi.org/10.7153/mia-16-12
Autor:
Szilárd András, Alpár Richárd Mészáros
Publikováno v:
Applied Mathematics and Computation. 219:4853-4864
In this paper we study the Ulam-Hyers stability of some linear and nonlinear dynamic equations and integral equations on time scales. We use both direct and operatorial methods and we propose a unified approach to Ulam-Hyers stability based on the th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d44db98ae6a638588c5f3d5bb856451
https://doi.org/10.1016/j.amc.2012.10.115
https://doi.org/10.1016/j.amc.2012.10.115
Publikováno v:
Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, 2016, 219 (2), pp.829-860. ⟨10.1007/s00205-015-0909-3⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, 2016, 219 (2), pp.829-860. ⟨10.1007/s00205-015-0909-3⟩
Archive for rational mechanics and analysis, 2016, Vol.219(2), pp.829-860 [Peer Reviewed Journal]
Archive for Rational Mechanics and Analysis, 2016, 219 (2), pp.829-860. ⟨10.1007/s00205-015-0909-3⟩
Archive for Rational Mechanics and Analysis, Springer Verlag, 2016, 219 (2), pp.829-860. ⟨10.1007/s00205-015-0909-3⟩
Archive for rational mechanics and analysis, 2016, Vol.219(2), pp.829-860 [Peer Reviewed Journal]
In this paper we study the BV regularity for solutions of certain variational problems in Optimal Transportation. We prove that the Wasserstein projection of a measure with BV density on the set of measures with density bounded by a given BV function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b6e998704843a2185326359167b4ba6
https://hal.science/hal-01079336
https://hal.science/hal-01079336