Strong unique continuation for general elliptic equations in 2D

TL;DR

This paper proves that solutions to a broad class of elliptic equations in two variables exhibit the strong unique continuation property, even with non-selfadjoint and lower order terms.

Contribution

It establishes strong unique continuation for general elliptic equations in 2D, including non-selfadjoint cases with lower order terms.

Findings

Solutions satisfy strong unique continuation property

Applicable to divergence form elliptic equations in 2D

Includes equations with non-selfadjoint and lower order terms

Abstract

We prove that solutions to elliptic equations in two variables in divergence form, possibly non-selfadjoint and with lower order terms, satisfy the strong unique continuation property.