5 citations · 5 across the 10 of their papers we have counts for
12 papers
An inverse source problem for the Monge--Ampere equation from large boundary data
Cătălin I. Cârstea, Tuhin Ghosh
We study an inverse source problem for the Monge--Ampere equation \[ \det D^2u=f(x) \] on a bounded smooth uniformly convex domain. In the smooth classical regime, we prove that th…
A note on several inverse problems with generally random coefficients
Cătălin I. Cârstea
We consider several inverse problems for elliptic equations whose coefficients are random, without imposing a special probabilistic structure on the randomness. The main body treat…
Hölder Stability from Exact Uniqueness for Finite-Dimensional Analytic Inverse Problems
Cătălin I. Cârstea
We prove a stability theorem for finite-dimensional analytic inverse problems. Let \(U\subset\R^m\) be an open parameter set, let \(F(p)\) be a boundary measurement operator, and l…
Inverse boundary value problems for certain doubly nonlinear parabolic and elliptic equations
Cătălin I. Cârstea, Tuhin Ghosh
We consider an inverse boundary value problem for the doubly nonlinear parabolic equation \[ ε(x)\partial_t u^m-\nabla\cdot\bigl(γ(x)|\nabla u|^{p-2}\nabla u\bigr)=0 \quad\text{in…
Reconstruction of coefficients in the double phase problem
Cătălin I. Cârstea, Philipp Zimmermann
The main purpose of this article is to reconstruct the nonnegative coefficient in the double phase problem $\mathrm{div}\,(|\nabla u|^{p-2}\nabla u+a|\nabla u|^{q-2}\nabla u)=0…
Prescribed nonlinearity helps in an anisotropic Calderón-type problem
Cătălin I. Cârstea
In this paper I consider the inverse boundary value problem for a quasilinear, anisotropic, elliptic equation of the form , where…
The Calderón problem on Riemannian surfaces and of minimal surfaces
Cătălin I. Cârstea, Tony Liimatainen, Leo Tzou
In this paper we prove two results. The first shows that the Dirichlet-Neumann map of the operator on a Riemannian surface can determine its topological, differential, and…
An inverse problem for general minimal surfaces
Cătălin I. Cârstea, Matti Lassas, Tony Liimatainen +1
In this paper we consider an inverse problem of determining a minimal surface embedded in a Riemannian manifold. We show under a topological condition that if is a -dimensio…
Remarks on the anisotropic Calderón problem
Cătălin I. Cârstea, Ali Feizmohammadi, Lauri Oksanen
We show uniqueness results for the anisotropic Calderón problem stated on transversally anisotropic manifolds. Moreover, we give a convexity result for the range of Dirichlet-to-Ne…
An inverse problem for the Riemannian minimal surface equation
Cătălin I. Cârstea, Matti Lassas, Tony Liimatainen +1
In this paper we consider determining a minimal surface embedded in a Riemannian manifold . We show that if is a two dimensional Riemannian manifold with bo…
Propagation of smallness for an elliptic PDE with piecewise Lipschitz coefficients
Cătălin I. Cârstea, Jenn-Nan Wang
In this paper we derive a propagation of smallness result for a scalar second elliptic equation in divergence form whose leading order coefficients are Lipschitz continuous on two…
Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain
Cătălin I. Cârstea, Gen Nakamura, Lauri Oksanen
We consider the inverse boundary value problem of recovering piecewise homogeneous elastic tensor and piecewise homogeneous mass density from a localized lateral Dirichlet-to-Neuma…