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

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arXiv · 1810.10765

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

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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.

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Veronica Felli, Alberto Ferrero. 2018-10-25. Unique continuation and classification of blow-up profiles for elliptic systems with Neumann boundary coupling and applications to higher order fractional equations. https://arxiv.org/abs/1810.10765

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