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 Rondi   Luca
Dipartimento di Matematica "Felice Casorati" officeroom C2
Università degli Studi di Pavia phone+39 0382 985690
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.

I am a proud member of the Editorial Board of the newly established journal Communications on Analysis and Computation (CAC) published by the American Institute of Mathematical Sciences (AIMS). Submissions are welcome!

Jingni Xiao (Drexel University, USA) and I organized a Special Session on Inverse Problems at the AMS-UMI International Joint Meeting 2024 (Palermo, 23-26 July, 2024).

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

  • Luca Rondi, On unique determination of polyhedral sets, Axioms 12 (11) (Special issue Mathematical Methods in Waves-Based Inverse Problems at Different Scales) (2023) #1035 (16pp).
  • Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, Explicit minimisers for anisotropic Coulomb energies in 3D, Adv. Math. 434 (2023) #109333 (28pp).
  • Matteo Fornoni and Luca Rondi, Mosco convergence of Sobolev spaces and Sobolev inequalities for nonsmooth domains, Calc. Var. Partial Differential Equations 62 (1) (2023) #15 (30pp).
  • Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, Energy minimisers of perturbed dislocation energies, Nonlinear Anal. 231 (Special issue Variational Models for Discrete Systems) (2023) #113014 (13pp).
  • Joan Mateu, Maria Giovanna Mora, Luca Rondi, Lucia Scardia and Joan Verdera, Stability of ellipsoids as the energy minimizers of perturbed Coulomb energies, SIAM J. Math. Anal. 55 (4) (2023) p. 3650 – 3676.
  • Alessandro Felisi and Luca Rondi, Full discretization and regularization for the Calderón problem, J. Differential Equations 410 (2024) p. 513 – 577.
  • 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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