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Rigidity and Flexibility in PDEs - Publications

Explore the scholarly works of the "Rigidity and Flexibility in PDEs" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our research through preprints.


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2022 Repository Open Access
Angkana Rüland and Eva Sincich

On Runge approximation and Lipschitz stability for a finite-dimensional Schrödinger inverse problem

In: Applicable analysis : an international journal, 101 (2022) 10, pp. 3655-3666
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2021 Journal Open Access
Aingeru Fernández-Bertolin, Luz Roncal, Angkana Rüland and Diana Stan

Discrete Carleman estimates and three balls inequalities

In: Calculus of variations and partial differential equations, 60 (2021) 6, p. 239
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2021 Journal Open Access
María Ángeles García-Ferrero, David Gómez-Ullate and Robert Milson

Exceptional Legendre polynomials and confluent Darboux transformations

In: Symmetry, integrability and geometry : methods and applications (SIGMA), 17 (2021), p. 016
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2021 Journal Open Access
Francesco Della Porta, Angkana Rüland, Jamie M. Taylor and Christian Zillinger

On a probabilistic model for martensitic avalanches incorporating mechanical compatibility

In: Nonlinearity, 34 (2021) 7, pp. 4844-4896
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2020 Repository Open Access
Francesco Della Porta and Angkana Rüland

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, pp. 611-651
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2020 Repository Open Access
Pierluigi Cesana, Francesco Della Porta, Angkana Rüland, Christian Zillinger and Barbara Zwicknagl

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, pp. 383-445
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2020 Journal Open Access
Angkana Rüland, Christian Zillinger and Barbara Zwicknagl

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, pp. 1-76
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2020 Repository Open Access
Francesco Della Porta

On non stress-free junctions between martensitic plates

In: Interfaces and free boundaries, 22 (2020) 3, pp. 251-283
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2020 Journal Open Access
María Ángeles García-Ferrero and Angkana Rüland

On two methods for quantitative unique continuation results for some nonlocal operators

In: Communications in partial differential equations, 45 (2020) 11, pp. 1512-1560
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2020 Repository Open Access
Angkana Rüland and Mikko Salo

Quantitative approximation properties for the fractional heat equation

In: Mathematical control and related fields, 10 (2020) 1, pp. 1-26
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2020 Repository Open Access
Ru-Yu Lai, Yi-Hsuan Lin and Angkana Rüland

The Calderón problem for a space-time fractional parabolic equation

In: SIAM journal on mathematical analysis, 52 (2020) 3, pp. 2655-2688
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2020 Journal Open Access
Mihajilo Cekić, Yi-Hsuan Lin and Angkana Rüland

The Calderón problem for the fractional Schrödinger equation with drift

In: Calculus of variations and partial differential equations, 59 (2020) 3, p. 91
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2020 Repository Open Access
Angkana Rüland and Mikko Salo

The fractional Calderón problem : low regularity and stability

In: Nonlinear analysis / A, 193 (2020), p. 111529
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2020 Repository Open Access
Tuhin Ghosh, Angkana Rüland, Mikko Salo and Gunther Uhlmann

Uniqueness and reconstruction for the fractional Calderón problem with a single measurement

In: Journal of functional analysis, 279 (2020) 1, p. 108505
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2019 Journal Open Access
Georgy Kitavtsev, Gianluca Lauteri, Stephan Luckhaus and Angkana Rüland

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, pp. 531-555
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2019 Repository Open Access
Francesco Della Porta

A model for the evolution of highly reversible martensitic transformations

In: Mathematical models and methods in applied sciences, 29 (2019) 3, pp. 493-530
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2019 Repository Open Access
Francesco Della Porta

Analysis of a moving mask hypothesis for martensitic transformations

In: Journal of nonlinear science, 29 (2019) 5, pp. 2341-2384
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2019 Repository Open Access
Alberto Enciso, María Ángeles García-Ferrero and Daniel Peralta-Salas

Approximation theorems for parabolic equations and movement of local hot spots

In: Duke mathematical journal, 168 (2019) 5, pp. 897-939
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2019 Repository Open Access
Angkana Rüland, Jamie M. Taylor and Christian Zillinger

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, pp. 2137-2184
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2019 Journal Open Access
Herbert Koch, Angkana Rüland and Wenhui Shi

Higher regularity for the fractional thin obstacle problem

In: New York journal of mathematics, 25 (2019), pp. 745-838
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2019 Repository Open Access
Angkana Rüland and Eva Sincich

Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data

In: Inverse problems and imaging, 13 (2019) 5, pp. 1023-1044
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2019 Repository Open Access
Angkana Rüland and Jenn-Nan Wang

On the fractional Landis conjecture

In: Journal of functional analysis, 277 (2019) 9, pp. 3236-3270
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2019 Repository Open Access
Angkana Rüland

Quantitative invertibility and approximation for the truncated Hilbert and Riesz transforms

In: Revista Matemática Iberoamericana, 35 (2019) 7, pp. 1997-2024
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2019 Journal Open Access
María Ángeles García-Ferrero and Angkana Rüland

Strong unique continuation for the higher order fractional Laplacian

In: Mathematics in engineering, 1 (2019) 4, pp. 715-774
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2018 Journal Open Access
Angkana Rüland and Mikko Salo

Exponential instability in the fractional Calderón problem

In: Inverse problems, 34 (2018) 4, p. 045003
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2018 Repository Open Access
Angkana Rüland, Christian Zillinger 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, pp. 3791-3841
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2018 Repository Open Access
Angkana Rüland, Jamie M. Taylor, Christian Zillinger and Barbara Zwicknagl

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, pp. 273-275
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2018 Repository Open Access
Angkana Rüland, Herbert Koch and Wenhui Shi

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, pp. 2127-2130
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2018 Repository Open Access
Angkana Rüland

Unique continuation for sublinear elliptic equations based on Carleman estimates

In: Journal of differential equations, 265 (2018) 11, pp. 6009-6035