Author

Jenn-Nan Wang

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Preprint Aug 2026

Inverse Born series based neural operators

The inverse Born series provides a general perturbative framework for representing nonlinear inverse maps between infinite-dimensional function spaces and has found numerous applications in inverse problems governed by partial differential equations and integral equations. Motivated by its operator-theoretic structure,...

J. Schotland, A. Titi, Jenn-Nan Wang · 0 citations

Preprint Sep 2026

Uniqueness for the inverse Schr\"odinger problem in the plane with $L^p$ potentials, $p>1$

Let $\Omega\subset\mathbb R^2$ be a bounded smooth domain. We prove that the weak Dirichlet-to-Neumann map for $-\Delta+V$ uniquely determines every complex-valued potential $V\in L^p(\Omega)$, $p>1$, provided that zero is not a Dirichlet eigenvalue. This extends the previously known range $p>4/3$ to all $p>1$. The pro...

Cătălin I. Cârstea, Jenn-Nan Wang · 0 citations