Publications by area

Inverse problems, unique continuation and Runge-type approximation

• Reconstruction for the Calderón problem with Lipschitz conductivities (with P. Caro and K.M. Rogers)

Preprint 2024   arXiv

• On the Calderón problem for nonlocal Schrödinger equations with homogeneous, directionally antilocal principal symbols (with G. Covi and A. Rüland)

J. Differ. Equ. 341  (2022)  79-149    arXiv

• Runge approximation and stability improvement for a partial data Calderón problem for the acoustic Helmholtz equation (with A. Rüland and W. Zatoń)

Inverse Probl. Imaging 16:1 (2022) 251–281    arXiv

• On Two Methods for Quantitative Unique Continuation Results for Some Nonlocal Operators   (with A. Rüland)

Commun. Part. Diff. Eq. 45:11 (2020) 1512-1560   arXiv 

• Strong unique continuation for the higher order fractional Laplacian   (with A. Rüland)

Mathematics in Engineering 1 (2019) 715-774   arXiv

• Approximation theorems for parabolic equations and movement of local hot spots   (with A. Enciso and D. Peralta-Salas)

Duke Math. J. 168 (2019) 897-939   arXiv

Functional inequalities

• Stability of the concentration inequality on polynomials (with J. Ortega-Cerdà)

Preprint 2024   arXiv

Exceptional orthogonal operators

• Classification of exceptional Jacobi polynomials (with D. Gómez-Ullate and R. Milson)

Preprint 2024   arXiv

• Exceptional Gegenbauer polynomials via isospectral deformation   (with D. Gómez-Ullate, R. Milson and J. Munday)

Stud. Appl. Math. 149:2 (2022) 324-363    arXiv

• Exceptional Legendre polynomials and confluent Darboux transformations   (with D. Gómez-Ullate and R. Milson)

Symmetry Integr. Geom. 17 (2021) 016   arXiv

• A Bochner type characterization for exceptional orthogonal polynomials   (with D. Gómez-Ullate and R. Milson)

J. Math. Anal. Appl. 472 (2019) 584-626   arXiv  

• Oscillation theorems for the Wronskian of an arbitrary sequence of eigenfunctions of Schrödinger's equation   (with D. Gómez-Ullate)

Lett. Math. Phys. 10 5(2015), 551-573   arXiv

Miscellanea

• The Biot-Savart operator of a bounded domain   (with A. Enciso and D. Peralta-Salas)

J. Math. Pures Appl.,  119 (2018) 85-113   arXiv

• Minimal graphs with micro-oscillations   (with A. Enciso and D. Peralta-Salas)

J. Differ. Equ. 265 (2018) 3339-3344   arXiv

• Shannon entropy and particle decays   (with P. Carrasco Millán, F.J. Llanes-Estrada, A. Porras Riojano and E.M. Sánchez García) 

Nucl. Phys. B 930 (2018) 583-596   arXiv      

• The Infinite Square Well with Point Interaction: A Discussion on the Different Parametrizations   (with M. Gadella, S. González-Martín and F.H. Maldonado-Villamizar) 

Int. J. Theor. Phys. 53 (2014), 1614-1627   arXiv