Cătălin I. Cârstea

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20092026

most citedReconstruction for the coefficients of a quasilinear elliptic partial differential equation

58 citations · 126 across the 16 of their papers we have counts for

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Showing 2026 · math.APShow all

4 papers · 2 filters

math.AP2026

Uniqueness for the inverse Schrödinger problem in the plane with $L^{p}$ potentials, $p > 1$

Cătălin I. Cârstea, Jenn-Nan Wang

Let $Ω \subset R^{2}$ be a bounded smooth domain. We prove that the weak Dirichlet-to-Neumann map for $- Δ + V$ uniquely determines every complex-valued potential $V \in L^{p} (Ω)$ , $…

math.AP2026

Relative formalization in Isabelle/HOL of a result in inverse problems

Cătălin I. Cârstea

This reports on an experiment in autoformalization of arxiv:2606.15977, an inverse problems result for piecewise polynomial anisotropic conductivities, using Isabelle/HOL. The proo…

math.AP2026

An inverse free boundary problem

Cătălin I. Cârstea, Matti Lassas, Jinpeng Lu +2

We study inverse problems for the elliptic and parabolic obstacle problems from boundary measurements. For the classical elliptic obstacle problem with strictly superharmonic obsta…

math.AP2026

The Calderón problem for piecewise polynomial anisotropic conductivities on partitions with many flat faces

Cătălin I. Cârstea

We prove uniqueness for a finite-dimensional anisotropic Calderón problem in dimensions $n \geq 3$ . The unknown conductivity is a symmetric uniformly elliptic matrix field whose res…

Uniqueness for the inverse Schrödinger problem in the plane with Lp potentials, p>1

Relative formalization in Isabelle/HOL of a result in inverse problems

An inverse free boundary problem

The Calderón problem for piecewise polynomial anisotropic conductivities on partitions with many flat faces

Uniqueness for the inverse Schrödinger problem in the plane with $L^{p}$ potentials, $p > 1$