Rigidity and Flexibility in PDEs

Head:
Angkana Rüland (Email)

Phone:
+49 (0) 341 - 9959 - 953

Fax:
+49 (0) 341 - 9959 - 585

Address:
Inselstr. 22
04103 Leipzig

Publications Angkana Rüland

Journal Articles

Rüland, Angkana: Unique continuation for sublinear elliptic equations based on Carleman estimates
In: Journal of differential equations, 265 (2018) 11, p. 6009-6035
Bibtex DOI: 10.1016/j.jde.2018.07.025 ARXIV: https://arxiv.org/abs/1801.05563

Rüland, Angkana and Mikko Salo: Quantitative Runge approximation and inverse problems
In: International mathematics research notices, Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1093/imrn/rnx301 ARXIV: https://arxiv.org/abs/1708.06307

Rüland, Angkana and Mikko Salo: Exponential instability in the fractional Calderón problem
In: Inverse problems, 34 (2018) 4, 045003
Bibtex DOI: 10.1088/1361-6420/aaac5a ARXIV: https://arxiv.org/abs/1711.04799

Rüland, Angkana ; Zillinger, Christian and Barbara Zwicknagl: Higher Sobolev regularity of convex integration solutions in elasticity : the Dirichlet problem with affine data in \(\text{int}(K^{lc})\)
In: SIAM journal on mathematical analysis, 50 (2018) 4, p. 3791-3841
Bibtex DOI: 10.1137/17M1149687 ARXIV: https://arxiv.org/abs/1709.02880

Kitavtsev, Georgy ; Luckhaus, Stephan and Angkana Rüland: Surface energies emerging in a microscopic, two-dimensional two-well problem
In: Proceedings of the Royal Society of Edinburgh / A, 147 (2017) 5, p. 1041-1089
Bibtex DOI: 10.1017/S0308210516000433 ARXIV: http://arxiv.org/abs/1509.08220

Koch, Herbert ; Rüland, Angkana and Wenhui Shi: The variable coefficient thin obstacle problem : optimal regularity and regularity of the regular free boundary
In: Annales de l'Institut Henri Poincaré / C, 34 (2017) 4, p. 845-897
Bibtex DOI: 10.1016/j.anihpc.2016.08.001 ARXIV: https://arxiv.org/abs/1504.03525

Koch, Herbert ; Rüland, Angkana and Wenhui Shi: The variable coefficient thin obstacle problem : higher regularity
In: Advances in differential equations, 22 (2017) 11/12, p. 793-866
Bibtex ARXIV: https://arxiv.org/abs/1605.02002 LINK: https://projecteuclid.org/euclid.ade/1504231224

Rüland, Angkana: On quantitative unique continuation properties of fractional Schrödinger equations : doubling, vanishing order and nodal domain estimates
In: Transactions of the American Mathematical Society, 369 (2017) 4, p. 2311-2362
Bibtex DOI: 10.1090/tran/6758 ARXIV: https://arxiv.org/abs/1407.0817

Rüland, Angkana and Wenhui Shi: Optimal regularity for the thin obstacle problem with \(C^{0,\alpha}\) coefficients
In: Calculus of variations and partial differential equations, 56 (2017) 5, 129
Bibtex DOI: 10.1007/s00526-017-1230-9 ARXIV: https://arxiv.org/abs/1610.07961

Koch, Herbert ; Rüland, Angkana and Wenhui Shi: The variable coefficient thin obstacle problem : Carleman inequalities
In: Advances in mathematics, 301 (2016), p. 820-866
Bibtex DOI: 10.1016/j.aim.2016.06.023 ARXIV: https://arxiv.org/abs/1501.04496

Rüland, Angkana: The cubic-to-orthorhombic phase transition : rigidity and non-rigidity properties in the linear theory of elasticity
In: Archive for rational mechanics and analysis, 221 (2016) 1, p. 23-106
Bibtex MIS-Preprint: 45/2013 DOI: 10.1007/s00205-016-0971-5

Rüland, Angkana: A rigidity result for a reduced model of a cubic-to-orthorhombic phase transition in the geometrically linear theory of elasticity
In: Journal of elasticity, 123 (2016) 2, p. 137-177
Bibtex DOI: 10.1007/s10659-015-9553-2 ARXIV: https://arxiv.org/abs/1305.6200

Kitavtsev, Georgy ; Luckhaus, Stephan and Angkana Rüland: Surface energies arising in microscopic modeling of martensitic transformations
In: Mathematical models and methods in applied sciences, 25 (2015) 4, p. 647-683
Bibtex MIS-Preprint: 29/2014 DOI: 10.1142/S0218202515500153 ARXIV: http://arxiv.org/abs/1402.5256

Rüland, Angkana: Unique continuation for fractional Schrödinger equations with rough potentials
In: Communications in partial differential equations, 40 (2015) 1, p. 77-114
Bibtex DOI: 10.1080/03605302.2014.905594 ARXIV: https://arxiv.org/abs/1310.7881

Rüland, Angkana: On the backward uniqueness property for the heat equation in two-dimensional conical domains
In: Manuscripta mathematica, 147 (2015) 3/4, p. 415-436
Bibtex DOI: 10.1007/s00229-015-0764-4 ARXIV: https://arxiv.org/abs/1310.6655

Preprints

Ceki, Mihajilo ; Lin, Yi-Hsuan and Angkana Rüland: The Calderón problem for the fractional Schrödinger equation with drift

Ghosh, Tuhin ; Rüland, Angkana ; Salo, Mikko and Gunther Uhlmann: Uniqueness and reconstruction for the fractional Calderón problem with a single measurement

Rüland, Angkana and Eva Sincich: Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data

Rüland, Angkana ; Taylor, Jamie M. and Christian Zillinger: Convex integration arising in the modelling of shape-memory alloys : some remarks on rigidity, flexibility and some numerical implementations

Rüland, Angkana and Jenn-Nan Wang: On the fractional Landis conjecture

Kitavtsev, Georgy ; Lauteri, Gianluca ; Luckhaus, Stephan and Angkana Rüland: A compactness and structure result for a discrete multi-well problem with \(\text{SO}(n)\) symmetry in arbitrary dimension

Rüland, Angkana: Quantitative invertibility and approximation for the truncated Hilbert and Riesz transforms

Rüland, Angkana and Mikko Salo: Quantitative approximation properties for the fractional heat equation

Rüland, Angkana and Mikko Salo: The fractional Calderón problem : low regularity and stability

Koch, Herbert ; Rüland, Angkana and Wenhui Shi: Higher regularity for the fractional thin obstacle problem

Rüland, Angkana ; Zillinger, Christian and Barbara Zwicknagl: Higher Sobolev regularity of convex integration solutions in elasticity
16.12.2018, 04:45