58 citations · 126 across the 16 of their papers we have counts for
17 papers
Uniqueness for the inverse Schrödinger problem in the plane with potentials,
Cătălin I. Cârstea, Jenn-Nan Wang
Let be a bounded smooth domain. We prove that the weak Dirichlet-to-Neumann map for uniquely determines every complex-valued potential , $…
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…
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…
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 . The unknown conductivity is a symmetric uniformly elliptic matrix field whose res…
Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
Cătălin I. Cârstea, Ali Feizmohammadi
In this paper we prove a general uniqueness result in the inverse boundary value problem for the weighted p-Laplace equation in the plane, with smooth weights. We also prove a uniq…
An inverse problem for the porous medium equation with partial data and a possibly singular absorption term
Cătălin I. Cârstea, Tuhin Ghosh, Gunther Uhlmann
In this paper we prove uniqueness in the inverse boundary value problem for the three coefficient functions in the porous medium equation with an absorption term $ε\partial_t u-\na…
An inverse boundary value problem for the inhomogeneous porous medium equation
Cătălin I. Cârstea, Tuhin Ghosh, Gen Nakamura
In this paper we establish uniqueness in the inverse boundary value problem for the two coefficients in the inhomogeneous porous medium equation $ε\partial_tu-\nabla\cdot(γ\nabla u…
The Calderón inverse problem for isotropic quasilinear conductivities
Cătălin I. Cârstea, Ali Feizmohammadi, Yavar Kian +2
We prove a global uniqueness result for the Calderón inverse problem for a general quasilinear isotropic conductivity equation on a bounded open set with smooth boundary in dimensi…
A density property for tensor products of gradients of harmonic functions and applications
Cătălin I. Cârstea, Ali Feizmohammadi
We show that tensor products of gradients of harmonic functions, with at least three, are dense in , for any bounded domain in dimension 3 or higher. The…
An inverse boundary value problem for certain anisotropic quasilinear elliptic equations
Cătălin I. Cârstea, Ali Feizmohammadi
In this paper we prove uniqueness in the inverse boundary value problem for quasilinear elliptic equations whose linear part is the Laplacian and nonlinear part is the divergence o…
Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term
Cătălin I. Cârstea, Manas Kar
This paper considers the inverse boundary value problem for the equation . We give a procedure for the recovery of the coefficie…
Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
Cătălin I. Cârstea, Gen Nakamura, Manmohan Vashisth
In this paper we consider an inverse coefficients problem for a quasilinear elliptic equation of divergence form , in a bounded smooth domain $…
Uniqueness estimates for the general complex conductivity equation and their applications to inverse problems
Catalin Carstea, Tu Nguyen, Jenn-Nan Wang
The aim of the paper is twofold. Firstly, we would like to derive quantitative uniqueness estimates for solutions of the general complex conductivity equation. It is still unknown…
On an inverse boundary value problem for a nonlinear time harmonic Maxwell system
Cătălin I. Cârstea
This paper considers a class of nonlinear time harmonic Maxwell systems at fixed frequency, with nonlinear terms taking the form , $\mathscr{…
Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data
Sombuddha Bhattacharyya, Cătălin I. Cârstea
We consider the inverse boundary value problem for operators of the form in an infinite domain , , with a periodi…
Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity
Cătălin I. Cârstea, Naofumi Honda, Gen Nakamura
Consider a three dimensional piecewise homogeneous anisotropic elastic medium which is a bounded domain consisting of a finite number of bounded subdomains , with each $D_…
A construction of blow up solutions for co-rotational wave maps
Catalin I. Carstea
The existence of co-rotational finite time blow up solutions to the wave map problem from R^{2+1} into N, where N is a surface of revolution with metric dρ^2+g(ρ)^2 dθ^2, g an enti…