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2026
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Boundary reconstruction for the anisotropic fractional Calderón problem
In: Journal of differential equations, 459 (2026), p. 114052inJournal
2022
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Bounds on the first Betti number : an approach via Schatten norm estimates on semigroup differences
In: The journal of geometric analysis, 32 (2022) 4, p. 115inJournal
2022
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On Runge approximation and Lipschitz stability for a finite-dimensional Schrödinger inverse problem
In: Applicable analysis : an international journal, 101 (2022) 10, pp. 3655-3666inJournal
2021
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Discrete Carleman estimates and three balls inequalities
In: Calculus of variations and partial differential equations, 60 (2021) 6, p. 239inJournal
2021
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Exceptional Legendre polynomials and confluent Darboux transformations
In: Symmetry, integrability and geometry : methods and applications (SIGMA), 17 (2021), p. 016inJournal
2021
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On a probabilistic model for martensitic avalanches incorporating mechanical compatibility
In: Nonlinearity, 34 (2021) 7, pp. 4844-4896inJournal
2020
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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. 611-651inJournal
2020
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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. 383-445inJournal
2020
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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. 1-76inBook
2020
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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. - pp. 76-94
(London Mathematical Society lecture note series ; 461)
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2020
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On non stress-free junctions between martensitic plates
In: Interfaces and free boundaries, 22 (2020) 3, pp. 251-283inJournal
2020
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On two methods for quantitative unique continuation results for some nonlocal operators
In: Communications in partial differential equations, 45 (2020) 11, pp. 1512-1560inJournal
2020
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Quantitative approximation properties for the fractional heat equation
In: Mathematical control and related fields, 10 (2020) 1, pp. 1-26inJournal
2020
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The Calderón problem for a space-time fractional parabolic equation
In: SIAM journal on mathematical analysis, 52 (2020) 3, pp. 2655-2688inJournal
2020
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The Calderón problem for the fractional Schrödinger equation with drift
In: Calculus of variations and partial differential equations, 59 (2020) 3, p. 91inJournal
2020
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The fractional Calderón problem : low regularity and stability
In: Nonlinear analysis / A, 193 (2020), p. 111529inJournal
2020
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Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
In: Journal of functional analysis, 279 (2020) 1, p. 108505inJournal
2019
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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. 531-555inJournal
2019
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A model for the evolution of highly reversible martensitic transformations
In: Mathematical models and methods in applied sciences, 29 (2019) 3, pp. 493-530inJournal
2019
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Analysis of a moving mask hypothesis for martensitic transformations
In: Journal of nonlinear science, 29 (2019) 5, pp. 2341-2384inJournal
2019
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Approximation theorems for parabolic equations and movement of local hot spots
In: Duke mathematical journal, 168 (2019) 5, pp. 897-939inJournal
2019
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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. 2137-2184inJournal
2019
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Higher regularity for the fractional thin obstacle problem
In: New York journal of mathematics, 25 (2019), pp. 745-838inJournal
2019
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Lipschitz stability for the finite dimensional fractional Calderón problem with finite Cauchy data
In: Inverse problems and imaging, 13 (2019) 5, pp. 1023-1044inJournal
2019
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On the fractional Landis conjecture
In: Journal of functional analysis, 277 (2019) 9, pp. 3236-3270inJournal
2019
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Quantitative invertibility and approximation for the truncated Hilbert and Riesz transforms
In: Revista Matemática Iberoamericana, 35 (2019) 7, pp. 1997-2024inJournal
2019
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Quantitative Runge approximation and inverse problems
In: International mathematics research notices, 2019 (2019) 20, pp. 6216-6234inJournal
2019
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Strong unique continuation for the higher order fractional Laplacian
In: Mathematics in engineering, 1 (2019) 4, pp. 715-774inJournal
2018
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Exponential instability in the fractional Calderón problem
In: Inverse problems, 34 (2018) 4, p. 045003inJournal
2018
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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. 3791-3841inJournal
2018
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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. 273-275inJournal
2018
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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. 2127-2130inJournal
2018
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Unique continuation for sublinear elliptic equations based on Carleman estimates
In: Journal of differential equations, 265 (2018) 11, pp. 6009-6035inJournal
2017
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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, pp. 2311-2362inJournal
2017
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Optimal regularity for the thin obstacle problem with \(C^{0,\alpha}\) coefficients
In: Calculus of variations and partial differential equations, 56 (2017) 5, p. 129inJournal
2017
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Surface energies emerging in a microscopic, two-dimensional two-well problem
In: Proceedings of the Royal Society of Edinburgh / A, 147 (2017) 5, pp. 1041-1089inJournal
2017
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The variable coefficient thin obstacle problem : higher regularity
In: Advances in differential equations, 22 (2017) 11/12, pp. 793-866inJournal
2017
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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, pp. 845-897inJournal
2016
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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, pp. 137-177inJournal
2016
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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, pp. 23-106inJournal
2016
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The variable coefficient thin obstacle problem : Carleman inequalities
In: Advances in mathematics, 301 (2016), pp. 820-866inJournal
2015
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On the backward uniqueness property for the heat equation in two-dimensional conical domains
In: Manuscripta mathematica, 147 (2015) 3/4, pp. 415-436inJournal
2015
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Surface energies arising in microscopic modeling of martensitic transformations
In: Mathematical models and methods in applied sciences, 25 (2015) 4, pp. 647-683inJournal
2015
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