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

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › 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.

Original language	English
Article number	111826
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	196
DOIs	https://doi.org/10.1016/j.na.2020.111826
Publication status	Published - Jul 2020

Keywords

Higher order fractional problems
Monotonicity formula
Neumann boundary coupling
Unique continuation

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10.1016/j.na.2020.111826

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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",

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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

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Keywords

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