Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations

Veronica Felli; Alberto Ferrero

doi:10.1016/j.na.2020.111826

Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations

Veronica Felli
, Alberto Ferrero

Dipartimento di Scienze e Innovazione Tecnologica

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

Abstract

In this paper we develop a monotonicity formula for elliptic systems with Neumann boundary coupling, proving unique continuation and classification of blow-up profiles. As an application, we obtain strong unique continuation for some fourth order equations and higher order fractional problems.

Lingua originale	Inglese
Numero di articolo	111826
Rivista	Nonlinear Analysis, Theory, Methods and Applications
Volume	196
DOI	https://doi.org/10.1016/j.na.2020.111826
Stato di pubblicazione	Pubblicato - lug 2020

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10.1016/j.na.2020.111826

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@article{3c0ac3c0e90f45629ce42fb094de54eb,

title = "Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations",

abstract = "In this paper we develop a monotonicity formula for elliptic systems with Neumann boundary coupling, proving unique continuation and classification of blow-up profiles. As an application, we obtain strong unique continuation for some fourth order equations and higher order fractional problems.",

keywords = "Higher order fractional problems, Monotonicity formula, Neumann boundary coupling, Unique continuation",

author = "Veronica Felli and Alberto Ferrero",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = jul,

doi = "10.1016/j.na.2020.111826",

language = "English",

volume = "196",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd.",

}

Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations. / Felli, Veronica; Ferrero, Alberto.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 196, 111826, 07.2020.

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

TY - JOUR

T1 - Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations

AU - Felli, Veronica

AU - Ferrero, Alberto

PY - 2020/7

Y1 - 2020/7

N2 - In this paper we develop a monotonicity formula for elliptic systems with Neumann boundary coupling, proving unique continuation and classification of blow-up profiles. As an application, we obtain strong unique continuation for some fourth order equations and higher order fractional problems.

AB - In this paper we develop a monotonicity formula for elliptic systems with Neumann boundary coupling, proving unique continuation and classification of blow-up profiles. As an application, we obtain strong unique continuation for some fourth order equations and higher order fractional problems.

KW - Higher order fractional problems

KW - Monotonicity formula

KW - Neumann boundary coupling

KW - Unique continuation

UR - https://www.scopus.com/pages/publications/85080081637

U2 - 10.1016/j.na.2020.111826

DO - 10.1016/j.na.2020.111826

M3 - Article

SN - 0362-546X

VL - 196

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 111826

ER -

Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations

Abstract

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