Cătălin I. Cârstea

Publications

Preprints and published articles, with direct links where available.

Preprints

Newest first.

2026
Relative formalization in Isabelle/HOL of a result in inverse problems
Cătălin I. Cârstea
arXiv:2608.23659
arXiv
An inverse free boundary problem
Cătălin I. Cârstea, Matti Lassas, Jinpeng Lu, Lauri Oksanen, and Ziyao Zhao
arXiv:2608.21153
arXiv
On the Calderón problem with piecewise polynomial anisotropic conductivities and many-flat-face interfaces
Cătălin I. Cârstea
arXiv:2606.15977
arXiv
An inverse source problem for the Monge-Ampère equation from large boundary data
Cătălin I. Cârstea and Tuhin Ghosh
arXiv:2606.07064
arXiv
A note on several inverse problems with generally random coefficients
Cătălin I. Cârstea
arXiv:2605.20004
arXiv
Hölder Stability from Exact Uniqueness for Finite-Dimensional Analytic Inverse Problems
Cătălin I. Cârstea
arXiv:2605.06354
arXiv
Inverse boundary value problems for certain doubly nonlinear parabolic and elliptic equations
Cătălin I. Cârstea and Tuhin Ghosh
arXiv:2603.08297
arXiv
2025
Reconstruction of coefficients in the double phase problem
Cătălin I. Cârstea and Philipp Zimmermann
arXiv:2504.01691
arXiv
2024
The Calderón problem on Riemannian surfaces and of minimal surfaces
Cătălin I. Cârstea, Tony Liimatainen, and Leo Tzou
arXiv:2406.16944
arXiv
Prescribed nonlinearity helps in an anisotropic Calderón-type problem
Cătălin I. Cârstea
arXiv:2406.14970
arXiv

Published articles

2025
Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
Cătălin I. Cârstea and Ali Feizmohammadi
Forum of Mathematics, Sigma 13 (2025), e147, 1–14.
DOI
An inverse boundary value problem for the inhomogeneous porous medium equation
Cătălin I. Cârstea, Tuhin Ghosh, and Gen Nakamura
SIAM Journal on Applied Mathematics 85(1) (2025), 278–293.
DOI
2024
An inverse problem for the Riemannian minimal surface equation
Cătălin I. Cârstea, Matti Lassas, Tony Liimatainen, and Lauri Oksanen
Journal of Differential Equations 379 (2024), 626–648.
DOI
2023
Remarks on the anisotropic Calderón problem
Cătălin I. Cârstea, Ali Feizmohammadi, and Lauri Oksanen
Proceedings of the American Mathematical Society 151(10) (2023), 4461–4473.
DOI
An inverse problem for the porous medium equation with partial data and a possibly singular absorption term
Cătălin I. Cârstea, Tuhin Ghosh, and Gunther Uhlmann
SIAM Journal on Mathematical Analysis 55(1) (2023), 162–185.
DOI
A density property for tensor products of gradients of harmonic functions and applications
Cătălin I. Cârstea and Ali Feizmohammadi
Journal of Functional Analysis 284(2) (2023), article 109740.
DOI
2021
The Calderón inverse problem for isotropic quasilinear conductivities
Cătălin I. Cârstea, Ali Feizmohammadi, Yavar Kian, Katya Krupchyk, and Gunther Uhlmann
Advances in Mathematics 391 (2021), article 107956.
DOI
An inverse boundary value problem for certain anisotropic quasilinear elliptic equations
Cătălin I. Cârstea and Ali Feizmohammadi
Journal of Differential Equations 284 (2021), 318–349.
DOI
On an inverse boundary value problem for a nonlinear time harmonic Maxwell system
Cătălin I. Cârstea
Journal of Inverse and Ill-Posed Problems (2021).
DOI
2020
Recovery of coefficients for a weighted p-Laplacian perturbed by a linear second order term
Cătălin I. Cârstea and Manas Kar
Inverse Problems 37(1) (2020), article 015013.
DOI
Propagation of smallness for an elliptic PDE with piecewise Lipschitz coefficients
Cătălin I. Cârstea and Jenn-Nan Wang
Journal of Differential Equations 268(12) (2020), 7609–7628.
DOI
Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain
Cătălin I. Cârstea, Gen Nakamura, and Lauri Oksanen
Transactions of the American Mathematical Society 373 (2020), 3423–3443.
DOI
Uniqueness estimates for the general complex conductivity equation and their applications to inverse problems
Cătălin I. Cârstea, Tu Nguyen, and Jenn-Nan Wang
SIAM Journal on Mathematical Analysis 52(1) (2020), 570–580.
DOI
2019
Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
Cătălin I. Cârstea, Gen Nakamura, and Manmohan Vashisth
Applied Mathematics Letters 98 (2019), 121–127.
DOI
2018
Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity
Cătălin I. Cârstea, Naofumi Honda, and Gen Nakamura
SIAM Journal on Mathematical Analysis 50(3) (2018), 3291–3302.
DOI
Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data
Sombuddha Bhattacharyya and Cătălin I. Cârstea
Journal of Mathematical Analysis and Applications 466 (2018), 642–654.
DOI
Uniqueness for the two-dimensional Calderón problem with unbounded conductivity
Cătălin I. Cârstea and Jenn-Nan Wang
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5) XVIII (2018), 1459–1482.
DOI
2017
Size estimates for the inverse boundary value problems of isotropic elasticity and complex conductivity in 3D
Cătălin I. Cârstea and Jenn-Nan Wang
Inverse Problems 33(12) (2017).
DOI
2010
A construction of blow up solutions for co-rotational wave maps
Cătălin I. Cârstea
Communications in Mathematical Physics 300(2) (2010), 487–528.
DOI