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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number111826
JournalNonlinear Analysis, Theory, Methods and Applications
Volume196
DOIs
Publication statusPublished - Jul 2020

Keywords

  • Higher order fractional problems
  • Monotonicity formula
  • Neumann boundary coupling
  • Unique continuation

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