Can I read Unique Continuation for $\Bar\partial$ with Square-integrable Potentials on EtoBox?

Unique Continuation for $\Bar\partial$ with Square-integrable Potentials by Pan, Yifei; Zhang, Yuan is a scholarly article available to read on EtoBox.

What is Unique Continuation for $\Bar\partial$ with Square-integrable Potentials about?

In this paper, we investigate the unique continuation property for the inequality $|\bar\partial u| \le V|u|$, where $u$ is a vector-valued function from a domain in $\mathbb C^n$ to $\mathbb C^N$, and the potential $V\in L^2$. We show that the strong unique continuation property holds when $n=1$, and the weak unique continuation property holds when $n\ge 2$. In both cases, the $L^2$ integrability condition on the potential is optimal.

Author

Pan, Yifei; Zhang, Yuan

Published

2022

Language

EN