Luca Rondi Home Page

Welcome! My name is Luca Rondi, I am from Trieste, a city situated in the north-east of Italy, by the Adriatic sea, and I am working at the DMI, Dipartimento di Matematica e Informatica (formerly Dipartimento di Scienze Matematiche), of the Università di Trieste in Italy.

My research activity mainly concerns partial differential equations, in particular inverse problems associated to them. I am also interested in the Calculus of Variations, shape optimization and imaging.

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

1. Lca Rondi and Fadil Santosa, Analysis of an Inverse Problem Arising in Photolithography, preprint (2010). (22/2/2010)
   Download (pdf file 290 Kb). Downloadable also from arXiv.org e-Print archive.
2. Luca Rondi, Reconstruction of material losses by perimeter penalization and phase-field methods, preprint (2009).
   Download (pdf file 280 Kb). Downloadable also from arXiv.org e-Print archive.
3. Giovanni Alessandrini, Luca Rondi, Edi Rosset and Sergio Vessella, The stability for the Cauchy problem for elliptic equations, Inverse Problems 25 (12) (2009) 123004 (47pp). (24/11/2009)
   
4. Luca Rondi, On the regularization of the inverse conductivity problem with discontinuous conductivities, Inverse Probl. Imaging 2 (3) (2008) 397-409.
5. Luca Rondi, Reconstruction in the inverse crack problem by variational methods, European J. Appl. Math. 19 (6) (2008) 635-660.
6. Luca Rondi, Stable determination of sound-soft polyhedral scatterers by a single measurement, Indiana Univ. Math. J. 57 (3) (2008) 1377-1408.
7. Michele Di Cristo and Luca Rondi, Exponential instability for inverse elliptic problems with unknown boundaries, J. Phys.: Conf. Ser. 73 (Inverse Problems in Applied Sciences-towards breakthrough) (2007) 012005 (18 pp).
8. Luca Rondi, A variational approach to the reconstruction of cracks by boundary measurements, J. Math. Pures Appl. (9) 87 (3) (2007) 324-342.

For a complete list of my papers, please refer to my publications page. Whenever possible, they can be downloaded in pdf format. Otherwise, a link to the website of the journal in which the paper appeared is provided. In most cases the full text is available to subscribers. If you have any difficulty in downloading or obtaining any of the papers, please contact me (e-mail to rondi at units.it) and I will be happy to mail you a printed or electronic copy. Obviously, I will greatly appreciate any of your questions, comments or suggestions! 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 Trieste.

Last modified on March 16, 2010.
rondi@units.it