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Asymptotic expansions and unique continuation at Dirichlet-Neumann boundary junctions for planar elliptic equations

1 African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, AIMS-Senegal, B.P. 1418. Mbour, Senegal
2 Università di Milano-Bicocca, Dipartimento di Scienza dei Materiali, Via Cozzi 55, 20125 Milano,Italy
3 Università degli Studi del Piemonte Orientale, Dipartimento di Scienze e Innovazione Tecnologica, Viale Teresa Michel 11, 15121 Alessandria, Italy
4 Université Cheikh Anta Diop, BP 16 889 Dakar-Fann, Senegal

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We consider elliptic equations in planar domains with mixed boundary conditions of Dirichlet-Neumann type. Sharp asymptotic expansions of the solutions and unique continuationproperties from the Dirichlet-Neumann junction are proved.
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Citation: Mouhamed Moustapha Fall, Veronica Felli, Alberto Ferrero, Alassane Niang. Asymptotic expansions and unique continuation at Dirichlet-Neumann boundary junctions for planar elliptic equations. Mathematics in Engineering, 2018, 1(1): 84-117. doi: 10.3934/Mine.2018.1.84

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