Luca Rondi Home Page

Welcome! My name is Luca Rondi and I am an Associate Professor of Mathematical Analysis at the Dipartimento di Matematica of the Università di Pavia in Italy.

Luca
Luca Rondi   
Dipartimento di Matematica "Felice Casorati" officeroom C15
Università degli Studi di Pavia phone+39 0382 985633
via Ferrata, 5 e-mailluca.rondi at unipv.it
27100 Pavia
ITALY

My research activity deals with the study of partial differential equations, with the main focus on inverse problems associated to them. I am particularly interested in problems related to Electrical Impedance Tomography and Inverse Scattering. I am also interested in the Calculus of Variations, shape optimization and imaging.

My most recent publications are (in reverse chronological order of writing)

  • Matteo Fornoni and Luca Rondi, Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains, preprint 2022.
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  • Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, Energy minimisers of perturbed dislocation energies, Nonlinear Analysis, to appear. updated
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  • Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, Stability of ellipsoids as the energy minimisers of perturbed Coulomb energies, preprint 2021.
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  • Alessandro Felisi and Luca Rondi, Full discretization and regularization for the Calderón problem, preprint 2021.
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  • Luca Rondi, Eva Sincich and Mourad Sini, Stable determination of a rigid scatterer in elastodynamics, SIAM J. Math. Anal. 53 (2) (2021) p. 2660 – 2689.
  • Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, Explicit minimisers of some nonlocal anisotropic energies: a short proof, Izv. Math. 85 (3) (2021) p. 468 – 482.
  • Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, A maximum-principle approach to the minimisation of a nonlocal dislocation energy, Mathematics in Engineering 2 (2) (Special issue Variational Models in Elasticity) (2020) p. 253 – 263.
  • José Antonio Carrillo, Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, The equilibrium measure for an anisotropic nonlocal energy, Calc. Var. Partial Differential Equations 60 (3) (2021) #109 (28pp).
  • Michele Di Cristo and Luca Rondi, Interior decay of solutions to elliptic equations with respect to frequencies at the boundary, Indiana Univ. Math. J. 70 (4) (2021) p. 1303 – 1334.
  • Michele Di Cristo and Luca Rondi, The distance from the boundary in a Riemannian manifold: regularity up to a conformal change of the metric, Indiana Univ. Math. J. 70 (4) (2021) p. 1283 – 1302.
  • Klas Modin, Adrian Nachman and Luca Rondi, A Multiscale Theory for Image Registration and Nonlinear Inverse Problems, Adv. Math. 346 (2019) p. 1009 – 1066.
  • José Antonio Carrillo, Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, The ellipse law: Kirchhoff meets dislocations, Comm. Math. Phys. 373 (2) (2020) p. 507 – 524.
  • Maria Giovanna Mora, Luca Rondi and Lucia Scardia, The equilibrium measure for a nonlocal dislocation energy, Comm. Pure Appl. Math. 72 (1) (2019) p. 136 – 158.
  • Hongyu Liu, Luca Rondi and Jingni Xiao, Mosco convergence for H(curl) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems, J. Eur. Math. Soc. (JEMS) 21 (10) (2019) p. 2945 – 2993.

For a complete list of my papers, please refer to my publications page. If you should have any problem in finding or downloading any of my papers, or if you would like any further information, please contact me (e-mail to luca.rondi at unipv.it). Any comment, suggestion or remark will be greatly appreciated. For further information please follow the links on the left.


The views and opinions expressed in these pages are strictly those of the pages author. The contents of these pages have not been reviewed or approved by the Università degli Studi di Pavia.

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luca.rondi at unipv.it