Rigidity and Flexibility in PDEs
Head:
Angkana Rüland (Email)
Phone:
+49 (0) 341 - 9959 - 953
Fax:
+49 (0) 341 - 9959 - 658
Address:
Inselstr. 22
04103 Leipzig
Institute publications of the group
Journal Articles
Hansmann, Marcel ; Rose, Christian and Stollmann, Peter:
Bounds on the first Betti number : an approach via Schatten norm estimates on semigroup
differences
In: The journal of geometric analysis,
32 (2022) 4, 115
Bibtex DOI: 10.1007/s12220-022-00871-w ARXIV: https://arxiv.org/abs/1810.12205Rüland, Angkana and Sincich, Eva:
On Runge approximation and Lipschitz stability for a finite-dimensional Schrödinger
inverse problem
In: Applicable analysis : an international journal,
101 (2022) 10, p. 3655-3666
Bibtex DOI: 10.1080/00036811.2020.1738403 ARXIV: https://arxiv.org/abs/2002.09319Della Porta, Francesco ; Rüland, Angkana ; Taylor, Jamie M. and Zillinger, Christian:
On a probabilistic model for martensitic avalanches incorporating mechanical compatibility
In: Nonlinearity,
34 (2021) 7, p. 4844-4896
Bibtex DOI: 10.1088/1361-6544/abfca9 ARXIV: https://arxiv.org/abs/2008.00416Fernández-Bertolin, Aingeru ; Roncal, Luz ; Rüland, Angkana and Stan, Diana:
Discrete Carleman estimates and three balls inequalities
In: Calculus of variations and partial differential equations,
60 (2021) 6, 239
Bibtex DOI: 10.1007/s00526-021-02098-z ARXIV: https://arxiv.org/abs/2003.00491García-Ferrero, María Angeles ; Gómez-Ullate, David and Milson, Robert:
Exceptional Legendre polynomials and confluent Darboux transformations
In: Symmetry, integrability and geometry : methods and applications (SIGMA),
17 (2021), 016
Bibtex DOI: 10.3842/SIGMA.2021.016 ARXIV: https://arxiv.org/abs/2008.02822Simon, Thilo Martin:
Rigidity of branching microstructures in shape memory alloys
In: Archive for rational mechanics and analysis,
241 (2021) 3, p. 1707-1783
Bibtex DOI: 10.1007/s00205-021-01679-8 ARXIV: https://arxiv.org/abs/1705.03664Cekić, Mihajilo ; Lin, Yi-Hsuan and Rüland, Angkana:
The Calderón problem for the fractional Schrödinger equation with
drift
In: Calculus of variations and partial differential equations,
59 (2020) 3, 91
Bibtex DOI: 10.1007/s00526-020-01740-6 ARXIV: https://arxiv.org/abs/1810.04211Cesana, Pierluigi ; Della Porta, Francesco ; Rüland, Angkana ; Zillinger, Christian and Zwicknagl, Barbara:
Exact constructions in the (non-linear) planar theory of elasticity : from elastic
crystals to nematic elastomers
In: Archive for rational mechanics and analysis,
237 (2020) 1, p. 383-445
Bibtex DOI: 10.1007/s00205-020-01511-9 ARXIV: https://arxiv.org/abs/1904.08820Della Porta, Francesco:
On non stress-free junctions between martensitic plates
In: Interfaces and free boundaries,
22 (2020) 3, p. 251-283
Bibtex DOI: 10.4171/IFB/441 ARXIV: https://arxiv.org/abs/1902.00979Della Porta, Francesco and Rüland, Angkana:
Convex integration solutions for the geometrically non-linear two-well problem with
higher Sobolev regularity
In: Mathematical models and methods in applied sciences,
30 (2020) 3, p. 611-651
Bibtex DOI: 10.1142/S0218202520500153 ARXIV: https://arxiv.org/abs/1905.12521García-Ferrero, María Angeles and Rüland, Angkana:
On two methods for quantitative unique continuation results for some nonlocal operators
In: Communications in partial differential equations,
45 (2020) 11, p. 1512-1560
Bibtex DOI: 10.1080/03605302.2020.1776323 ARXIV: https://arxiv.org/abs/2003.06402Ghosh, Tuhin ; Rüland, Angkana ; Salo, Mikko and Uhlmann, Gunther:
Uniqueness and reconstruction for the fractional Calderón problem with a
single measurement
In: Journal of functional analysis,
279 (2020) 1, 108505
Bibtex DOI: 10.1016/j.jfa.2020.108505 ARXIV: https://arxiv.org/abs/1801.04449Lai, Ru-Yu ; Lin, Yi-Hsuan and Rüland, Angkana:
The Calderón problem for a space-time fractional parabolic equation
In: SIAM journal on mathematical analysis,
52 (2020) 3, p. 2655-2688
Bibtex DOI: 10.1137/19M1270288 ARXIV: https://arxiv.org/abs/1905.08719Rüland, Angkana and Salo, Mikko:
Quantitative approximation properties for the fractional heat equation
In: Mathematical control and related fields,
10 (2020) 1, p. 1-26
Bibtex DOI: 10.3934/mcrf.2019027 ARXIV: https://arxiv.org/abs/1708.06300Rüland, Angkana and Salo, Mikko:
The fractional Calderón problem : low regularity and stability
In: Nonlinear analysis / A,
193 (2020), 111529
Bibtex DOI: 10.1016/j.na.2019.05.010 ARXIV: https://arxiv.org/abs/1708.06294Rüland, Angkana ; Zillinger, Christian and Zwicknagl, Barbara:
Higher Sobolev regularity of convex integration solutions in elasticity : the planar
geometrically linearized hexagonal-to-rhombic phase transformation
In: Journal of elasticity,
138 (2020) 1, p. 1-76
Bibtex DOI: 10.1007/s10659-018-09719-3 ARXIV: https://arxiv.org/abs/1610.02529Della Porta, Francesco:
A model for the evolution of highly reversible martensitic transformations
In: Mathematical models and methods in applied sciences,
29 (2019) 3, p. 493-530
Bibtex DOI: 10.1142/S0218202519500143 ARXIV: https://arxiv.org/abs/1811.07664Della Porta, Francesco:
Analysis of a moving mask hypothesis for martensitic transformations
In: Journal of nonlinear science,
29 (2019) 5, p. 2341-2384
Bibtex DOI: 10.1007/s00332-019-09546-3 ARXIV: https://arxiv.org/abs/1811.08247Enciso, Alberto ; García-Ferrero, María Angeles and Peralta-Salas, Daniel:
Approximation theorems for parabolic equations and movement of local hot spots
In: Duke mathematical journal,
168 (2019) 5, p. 897-939
Bibtex DOI: 10.1215/00127094-2018-0058 ARXIV: https://arxiv.org/abs/1710.03782García-Ferrero, María Angeles and Rüland, Angkana:
Strong unique continuation for the higher order fractional Laplacian
In: Mathematics in engineering,
1 (2019) 4, p. 715-774
Bibtex DOI: 10.3934/mine.2019.4.715 ARXIV: https://arxiv.org/abs/1902.09851Kitavtsev, Georgy ; Lauteri, Gianluca ; Luckhaus, Stephan and Rüland, Angkana:
A compactness and structure result for a discrete multi-well problem with \(\text{SO}(n)\)
symmetry in arbitrary dimension
In: Archive for rational mechanics and analysis,
232 (2019) 1, p. 531-555
Bibtex DOI: 10.1007/s00205-018-1327-0 ARXIV: https://arxiv.org/abs/1711.08271Koch, Herbert ; Rüland, Angkana and Shi, Wenhui:
Higher regularity for the fractional thin obstacle problem
In: New York journal of mathematics,
25 (2019), p. 745-838
Bibtex ARXIV: https://arxiv.org/abs/1605.06662 LINK: http://nyjm.albany.edu/j/2019/25-35.htmlRüland, Angkana:
Quantitative invertibility and approximation for the truncated Hilbert and Riesz transforms
In: Revista Matemática Iberoamericana,
35 (2019) 7, p. 1997-2024
Bibtex DOI: 10.4171/RMI/1107 ARXIV: https://arxiv.org/abs/1708.04285Rüland, Angkana and Sincich, Eva:
Lipschitz stability for the finite dimensional fractional Calderón problem
with finite Cauchy data
In: Inverse problems and imaging,
13 (2019) 5, p. 1023-1044
Bibtex DOI: 10.3934/ipi.2019046 ARXIV: https://arxiv.org/abs/1805.00866Rüland, Angkana ; Taylor, Jamie M. and Zillinger, Christian:
Convex integration arising in the modelling of shape-memory alloys : some remarks
on rigidity, flexibility and some numerical implementations
In: Journal of nonlinear science,
29 (2019) 5, p. 2137-2184
Bibtex DOI: 10.1007/s00332-019-09540-9 ARXIV: https://arxiv.org/abs/1801.08503Rüland, Angkana and Wang, Jenn-Nan:
On the fractional Landis conjecture
In: Journal of functional analysis,
277 (2019) 9, p. 3236-3270
Bibtex DOI: 10.1016/j.jfa.2019.05.026 ARXIV: https://arxiv.org/abs/1809.04480Ayala, Diego A. ; Doering, Charles R. and Simon, Thilo Martin:
Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations
In: Journal of fluid mechanics,
837 (2018), p. 839-857
Bibtex DOI: 10.1017/jfm.2017.874 ARXIV: https://arxiv.org/abs/1704.00087Laux, Tim Bastian and Simon, Thilo Martin:
Convergence of the Allen-Cahn equation to multiphase mean curvature flow
In: Communications on pure and applied mathematics,
71 (2018) 8, p. 1597-1647
Bibtex MIS-Preprint: 37/2016 DOI: 10.1002/cpa.21747 ARXIV: http://arxiv.org/abs/1606.07318Rüland, 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/1801.05563Rüland, Angkana ; Koch, Herbert and Shi, Wenhui:
Regularity and higher regularity for the thin obstacle problem with Hölder
continuous coefficients [In: Calculus of variations ; 29 July - 4 August 2018 ; report
no. 35/2018]
In: Oberwolfach reports,
15 (2018) 3, p. 2127-2130
Bibtex DOI: 10.4171/OWR/2018/35 LINK: https://publications.mfo.de/handle/mfo/3657Rüland, Angkana and Salo, Mikko:
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/1711.04799Rüland, Angkana ; Taylor, Jamie M. ; Zillinger, Christian and Zwicknagl, Barbara:
Microstructures in shape-memory alloys : rigidity, flexibility and some numerical
experiments [In: Variational methods for the modelling of inelastic solids ; 4 February
- 10 February 2018 ; report no. 5/2018]
In: Oberwolfach reports,
15 (2018) 1, p. 273-275
Bibtex DOI: 10.4171/OWR/2018/5 LINK: https://publications.mfo.de/handle/mfo/3627Rüland, Angkana ; Zillinger, Christian and Zwicknagl, Barbara:
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/1709.02880Rüland, 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/s00205-016-0971-5Rüland, 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/1305.6200Kitavtsev, Georgy ; Luckhaus, Stephan and Rüland, Angkana:
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/1402.5256Publications in Books and Conference Proceedings
Cameron, Amanda ; Dinu, Rodica ; Michałek, Mateusz and Seynnaeve, Tim:
Flag matroids : algebra and geometry
In: Interactions with lattice polytopes : Magdeburg, Germany, September 2017 / Alexander M. Kasprzyk... (eds.)
Cham : Springer, 2022. - P. 73-114
(Springer proceedings in mathematics and statistics ; 386)
Bibtex MIS-Preprint: 93/2018 DOI: 10.1007/978-3-030-98327-7_4 ARXIV: https://arxiv.org/abs/1811.00272Rose, Christian and Stollmann, Peter:
Manifolds with Ricci curvature in the Kato class : heat kernel bounds and applications
In: Analysis and geometry on graphs and manifolds / Matthias Keller... (eds.)
Cambridge : Cambridge University Press, 2020. - P. 76-94
(London Mathematical Society lecture note series ; 461)
Bibtex DOI: 10.1017/9781108615259.006 ARXIV: https://arxiv.org/abs/1804.04094Academic Theses
Simon, Thilo Martin:
Materials science-inspired problems in the calculus of variations : rigidity of shape
memory alloys and multi-phase mean curvature flow
Dissertation, Universität Leipzig, 2018
Bibtex LINK: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa2-318464