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

Mouhamed Moustapha Fall; Veronica Felli; Alberto Ferrero; Alassane Niang

doi:10.3934/Mine.2018.1.84

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

Mouhamed Moustapha Fall
, Veronica Felli
, Alberto Ferrero
, Alassane Niang

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We consider elliptic equations in planar domains with mixed boundary conditions of Dirichlet-Neumann type. Sharp asymptotic expansions of the solutions and unique continuation properties from the Dirichlet-Neumann junction are proved.

Lingua originale	Inglese
pagine (da-a)	84-117
Numero di pagine	34
Rivista	Mathematics In Engineering
Volume	1
Numero di pubblicazione	1
DOI	https://doi.org/10.3934/Mine.2018.1.84
Stato di pubblicazione	Pubblicato - 2019

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title = "Asymptotic expansions and unique continuation at Dirichlet-Neumann boundary junctions for planar elliptic equations",

abstract = "We consider elliptic equations in planar domains with mixed boundary conditions of Dirichlet-Neumann type. Sharp asymptotic expansions of the solutions and unique continuation properties from the Dirichlet-Neumann junction are proved.",

keywords = "Asymptotic expansion, Mixed boundary conditions, Monotonicity formula, Unique continuation",

author = "Fall, \{Mouhamed Moustapha\} and Veronica Felli and Alberto Ferrero and Alassane Niang",

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PY - 2019

Y1 - 2019

N2 - We consider elliptic equations in planar domains with mixed boundary conditions of Dirichlet-Neumann type. Sharp asymptotic expansions of the solutions and unique continuation properties from the Dirichlet-Neumann junction are proved.

AB - We consider elliptic equations in planar domains with mixed boundary conditions of Dirichlet-Neumann type. Sharp asymptotic expansions of the solutions and unique continuation properties from the Dirichlet-Neumann junction are proved.

KW - Asymptotic expansion

KW - Mixed boundary conditions

KW - Monotonicity formula

KW - Unique continuation

UR - https://www.scopus.com/pages/publications/85080047448

U2 - 10.3934/Mine.2018.1.84

DO - 10.3934/Mine.2018.1.84

M3 - Article

SN - 2640-3501

VL - 1

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EP - 117

JO - Mathematics In Engineering

JF - Mathematics In Engineering

IS - 1

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

Abstract

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