Angkana Rüland
Max Planck Institute for Mathematics in the Sciences
Inselstraße 22
04103 Leipzig
Germany
Email: rueland"at"mis.mpg.de
Phone: +49 (341) 9959 953
 Fractional Schrödinger equations,
 Unique Continuation and applications to inverse problems,
 Obstacle type free boundary value problems,
 Elasticity with applications to shapememory alloys.
 Leipzig, Winter 18/19: Seminar Inverse Spectral Theory , SG 314, Thursdays 9:1510:45
 Leipzig, Summer 18: The Calderón Problem, Augusteum A 314, Thursdays 13:1514:45
 Oxford, MT 16: Lecture C5.1  Solid Mechanics
 Oxford, MT 15: Two classes B5.2  Applied Partial Differential Equations
 Oxford, TT 15: Revision classes: Differential Equations 2, Integral Transforms
 Oxford, HT 15: College tutorials on Differential Equations 2, Integral Transforms
 Oxford, MT 14: Two classes in B5.1  Techniques of Applied Mathematics
 Bonn, Winter 13/14: Teaching Assistant V1G1  Analysis I
 Bonn, Summer 13 (joint with Prof. Dr. Herbert Koch): Seminar S1G1  Seminar eindimensionale Dynamik
 Unique Continuation for Fractional Schrödinger Equations with Rough Potential, ArXiv Preprint, Communications in Partial Differential Equations, 40.1 (2015): 77114,
 On the Backward Uniqueness Property of the Heat Equation in TwoDimensional Conical Domains, ArXiv Preprint, manuscripta mathematica, July 2015, Volume 147, Issue 3, pp 415436,
 The CubictoOrthorhombic Phase Transition  Rigidity and NonRigidity Properties in the Linear Theory of Elasticity, MPI MIS Preprint, Archive for Rational Mechanics and Analysis, July 2016, Volume 221, Issue 1, pp 23106,
 A Rigidity Result for a Reduced Model of a CubictoOrthorhombic
Phase Transition in the Geometrically Linear Theory of Elasticity, ArXiv Preprint, Journal of Elasticity, April 2016, Volume 123, Issue 2, pp 137177,
 (with Georgy Kitavtsev and Stephan Luckhaus) Surface Energies Arising in Microscopic Modeling of Martensitic Transformations, ArXiv Preprint, Mathematical Models and Methods in Applied Sciences, 25.04 (2015): 647683,
 On quantitative unique continuation properties of fractional
Schrödinger equations: Doubling, vanishing order and nodal domain
estimates, Trans. Amer. Math. Soc. 369 (2017), 23112362,
 (with Herbert Koch and Wenhui Shi) The variable coefficient thin obstacle problem: Carleman estimates, ArXiv Preprint, Advances in Mathematics, Oct. 2016, Vol. 301, pp. 820–866,
 (with Herbert Koch and Wenhui Shi) The variable coefficient thin
obstacle problem: Optimal regularity and regularity of the regular free
boundary, ArXiv Preprint, (accepted in Annales de l'Institut Henri Poincaré),
 (with Georgy Kitavtsev and Stephan Luckhaus) Surface Energies Emerging in a Microscopic, TwoDimensional TwoWell Problem, ArXiv Preprint (accepted Proceedings of the Royal Society of Edinburgh, Section: A Mathematics),
 (with Herbert Koch and Wenhui Shi) The Variable Coefficient Thin Obstacle Problem: Higher Regularity, ArXiv Preprint, Advances in Differential Equations Volume 22, Numbers 1112, November/December 2017,
 (with Herbert Koch and Wenhui Shi) Higher Regularity for the fractional thin obstacle problem, ArXiv Preprint (submitted),
 (with Christian Zillinger and Barbara Zwicknagl) Higher Sobolev Regularity of Convex Integration Solutions in Elasticity, ArXiv Preprint (submitted),
 (with Wenhui Shi) Optimal Regularity for the Thin Obstacle Problem with C^{0,α} Coefficients, ArXiv Preprint, Calc. Var. (2017) 56: 129,
 Quantitative Invertibility and Approximation for the Truncated Hilbert and Riesz Transforms ArXiv Preprint (submitted),
 (with Mikko Salo) The fractional Calderón problem: low regularity and stability, ArXiv Preprint (submitted),
 (with Mikko Salo) Quantitative Approximation Properties for the Fractional Heat Equation, ArXiv Preprint (submitted),
 (with Mikko Salo) Quantitative Runge Approximation and Inverse Problems, ArXiv Preprint (submitted).
 (with Christian Zillinger and Barbara Zwicknagl) Higher Sobolev
Regularity of Convex Integration Solutions in Elasticity: The Dirichlet
Problem with Affine Data in int(Klc), ArXiv Preprint (submitted).
 (with Jamie M Taylor and Christian Zillinger) Convex integration
arising in the modelling of shapememory alloys: some remarks on
rigidity, flexibility and some numerical implementations ArXiv Preprint (submitted).
 (with Tuhin Ghosh, Mikko Salo and Gunther Uhlmann) Uniqueness and
reconstruction for the fractional Calderón problem with a single
measurement, ArXiv Preprint (submitted).
 Unique continuation for sublinear elliptic equations based on Carleman estimates, ArXiv Preprint (submitted).
