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

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	84-117
Number of pages	34
Journal	Mathematics In Engineering
Volume	1
Issue number	1
DOIs	https://doi.org/10.3934/Mine.2018.1.84
Publication status	Published - 2019

Keywords

Asymptotic expansion
Mixed boundary conditions
Monotonicity formula
Unique continuation

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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",

note = "Publisher Copyright: {\textcopyright} 2018 the Author(s), licensee AIMS Press.",

year = "2019",

doi = "10.3934/Mine.2018.1.84",

language = "English",

volume = "1",

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journal = "Mathematics In Engineering",

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AU - Fall, Mouhamed Moustapha

AU - Felli, Veronica

AU - Ferrero, Alberto

AU - Niang, Alassane

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

SP - 84

EP - 117

JO - Mathematics In Engineering

JF - Mathematics In Engineering

IS - 1

ER -

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

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Keywords

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