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Angkana Rüland

Researcher at Max Planck Society

Publications -  82
Citations -  1361

Angkana Rüland is an academic researcher from Max Planck Society. The author has contributed to research in topics: Uniqueness & Inverse problem. The author has an hindex of 20, co-authored 79 publications receiving 1016 citations. Previous affiliations of Angkana Rüland include University of Oxford & Heidelberg University.

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On the Calder\'on problem for nonlocal Schr\"odinger equations with homogeneous, directionally antilocal principal symbols

TL;DR: In this paper, the authors consider the Dirichlet problem for α-stable, non-symmetric elliptic nonlocal operators whose kernels are possibly only supported on cones and satisfy the structural condition of directional antilocality.
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Surface Energies Arising in Microscopic Modeling of Martensitic Transformations

TL;DR: In this article, a two-well Hamiltonian on a 2D atomic lattice is constructed and analyzed, and the structure of ground states under appropriate boundary conditions is close to the macroscopically expected twinned configurations with additional boundary layers localized near the twinning interfaces.
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Convex Integration Solutions for the Geometrically Non-linear Two-Well Problem with Higher Sobolev Regularity

TL;DR: In this paper, higher Sobolev regularity of convex integration solutions for the geometrically non-linear two-well problem has been studied in shape-memory alloys.
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Runge Approximation and Stability Improvement for a Partial Data Calder\'on Problem for the Acoustic Helmholtz Equation

TL;DR: In this article, the authors discuss quantitative Runge approximation properties for the acoustic Helmholtz equation and prove stability improvement results in the high frequency limit for an associated partial data inverse problem modelled on AU04, KU19.
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On Runge approximation and Lipschitz stability for a finite-dimensional Schr\"odinger inverse problem

TL;DR: In this article, the Lipschitz stability for the inverse problem for the Schr\"odinger operator with finite-dimensional potentials was reproved by using quantitative Runge approximation results.