Author

Yifei Pan

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Preprint Aug 2026

Unique continuation for $\bar\partial u = Vu$ at infinity

Motivated by Landis's conjecture on unique continuation at infinity for the Laplacian, we study the corresponding property for the Cauchy-Riemann operator. We prove that every weak solution of $\bar\partial u=Vu$ on a neighborhood of infinity, with $V\in L^\infty$, vanishes identically if it decays exponentially at a r...

Yifei Pan, Yuan Zhang · 0 citations