88 citations · 134 across the 22 of their papers we have counts for
26 papers · 1 filter
Instability estimates for the recovery of absorption in the diffusive regime of radiative transfer
Elena Demattè, Alessandro Felisi, Angkana Rüland +1
We revisit the instability properties of the recovery of the absorption coefficient for the radiative transfer equation in the diffusive regime. To this end, we develop a rather ro…
On the transfer of stability from the local to the fractional anisotropic Calderón problem with exterior measurements
Hendrik Baers, Angkana Rüland
We study the quantitative transfer of uniqueness from the classical to the fractional Calderón problem with exterior data. This allows us to deduce the first stability estimates fo…
Transfer of Stability from the Classical to the Fractional Anisotropic Calderón Problem
Hendrik Baers, Angkana Rüland
We discuss two spectral fractional anisotropic Calderón problems with source-to-solution measurements and their quantitative relation to the classical Calderón problem. Firstly, we…
On surface energies in scaling laws for singular perturbation problems for martensitic phase transitions
Angkana Rüland, Camillo Tissot, Antonio Tribuzio +1
The objective of this article is to compare different surface energies for multi-well singular perturbation problems associated with martensitic phase transformations involving hig…
Boundary Reconstruction for the Anisotropic Fractional Calderón Problem
Xiaopeng Cheng, Angkana Rüland
In this article, we provide a boundary reconstruction result for the anisotropic fractional Calderón problem and its associated degenerate elliptic extension into the upper half pl…
Fractional anisotropic Calderón problem with external data
Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk +3
In this paper, we solve the fractional anisotropic Calderón problem with external data in the Euclidean space, in dimensions two and higher, for smooth Riemannian metrics that agre…
On a -Structure in Geometrically Linearized Elasticity: Qualitative and Quantitative Analysis and Numerical Simulations
Roman Indergand, Dennis Kochmann, Angkana Rüland +2
We study the rigidity properties of the -structure for the symmetrized gradient from \cite{BFJK94} qualitatively, quantitatively and numerically. More precisely, we complement…
On Instability Properties of the Fractional Calderón Problem
Hendrik Baers, Giovanni Covi, Angkana Rüland
We prove exponential instability properties for the fractional Calderón problem and the conductivity formulation of the fractional Calderón problem in the regime of fractional powe…
On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations
Janusz Ginster, Angkana Rüland, Antonio Tribuzio +1
We study scaling laws for singular perturbation problems associated with a class of two-dimensional martensitic phase transformations and deduce a domain dependence of the scaling…
Revisiting the Anisotropic Fractional Calderón Problem Using the Caffarelli-Silvestre Extension
Angkana Rüland
We revisit the source-to-solution anisotropic fractional Calderón problem introduced and analyzed in [FGKU21] and [F21]. Using the Caffarelli-Silvestre interpretation of the fracti…
A Reduction of the Fractional Calderón Problem to the Local Calderón Problem by Means of the Caffarelli-Silvestre Extension
Giovanni Covi, Tuhin Ghosh, Angkana Rüland +1
We relate the (anisotropic) variable coefficient local and nonlocal Calderón problems by means of the Caffarelli-Silvestre extension. In particular, we prove that (partial) Dirichl…
On (Global) Unique Continuation Properties of the Fractional Discrete Laplacian
Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland
We study various qualitative and quantitative (global) unique continuation properties for the fractional discrete Laplacian. We show that while the fractional Laplacian enjoys stri…
Runge Approximation and Stability Improvement for a Partial Data Calderón Problem for the Acoustic Helmholtz Equation
María Ángeles García-Ferrero, Angkana Rüland, Wiktoria Zatoń
In this article, we discuss quantitative Runge approximation properties for the acoustic Helmholtz equation and prove stability improvement results in the high frequency limit for…
Convex Integration Solutions for the Geometrically Non-linear Two-Well Problem with Higher Sobolev Regularity
Francesco Della Porta, Angkana Rüland
In this article we discuss higher Sobolev regularity of convex integration solutions for the geometrically non-linear two-well problem. More precisely, we construct solutions to th…
Strong unique continuation for the higher order fractional Laplacian
María-Ángeles García-Ferrero, Angkana Rüland
In this article we study the strong unique continuation property for solutions of higher order (variable coefficient) fractional Schrödinger operators. We deduce the strong unique…
On the Fractional Landis Conjecture
Angkana Rüland, Jenn-Nan Wang
In this paper we study a Landis-type conjecture for fractional Schrödinger equations of fractional power with potentials. We discuss both the cases of differentiable an…
Lipschitz stability for the Finite Dimensional Fractional Calderón Problem with Finite Cauchy Data
Angkana Rüland, Eva Sincich
In this note we discuss the conditional stability issue for the finite dimensional Calderón problem for the fractional Schrödinger equation with a finite number of measurements. Mo…
Unique Continuation for Sublinear Elliptic Equations Based on Carleman Estimates
Angkana Rüland
In this article we deal with different forms of the unique continuation property for second order elliptic equations with nonlinear potentials of sublinear growth. Under suitable r…
Quantitative Runge Approximation and Inverse Problems
Angkana Rüland, Mikko Salo
In this short note we provide a quantitative version of the classical Runge approximation property for second order elliptic operators. This relies on quantitative unique continuat…
Quantitative Approximation Properties for the Fractional Heat Equation
Angkana Rüland, Mikko Salo
In this note we analyse \emph{quantitative} approximation properties of a certain class of \emph{nonlocal} equations: Viewing the fractional heat equation as a model problem, which…
Quantitative Invertibility and Approximation for the Truncated Hilbert and Riesz Transforms
Angkana Rüland
In this article we derive quantitative uniqueness and approximation properties for (perturbations) of Riesz transforms. Seeking to provide robust arguments, we adopt a PDE point of…
Higher Regularity for the fractional thin obstacle problem
Herbert Koch, Angkana Rüland, Wenhui Shi
In this article we investigate the higher regularity properties of the regular free boundary in the fractional thin obstacle problem. Relying on a Hodograph-Legendre transform, we…
The Variable Coefficient Thin Obstacle Problem: Higher Regularity
Herbert Koch, Angkana Rüland, Wenhui Shi
In this article we continue our investigation of the thin obstacle problem with variable coefficients which was initiated in \cite{KRS14}, \cite{KRSI}. Using a partial Hodograph-Le…
Unique Continuation for Fractional Schrödinger Equations with Rough Potential
Angkana Rüland
This article deals with the weak and strong unique continuation principle for fractional Schrödinger equations with scaling-critical and rough potentials via Carleman estimates. Ou…