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Home Page di Michela Procesi


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Ricercatrice di Analisi Matematica presso l'Universita'   degli Studi di Roma

"La Sapienza"


 Dipartimento di Matematica

"G. Castelnuovo" -P.le Aldo Moro - Roma Italia

Studio 2 II piano terra

Telefono/Phone 06-49913250

E-Mail mprocesi@mat.uniroma1.it

michela.procesi@.unina.it

 foto
  Hamiltonian PDEs site
 


Didattica
2011-2012
Analisi Matematica II (ingegneria biomedica Napoli)

Programma svolto.

Date d'esame:  11-6,  25-6, 12-7 prova scritta
 
Algebra (Roma)




Ricevimento: per appuntamento o dopo la lezione.

Curriculum

Positions Main Reaserch Interests

Pubblicazioni
[1] A. Degasperis, M. Procesi:  a Test in Asymptotic Integrability, proceedings of international conference of Triruchirapalli 1998

[2] A. Degasperis, M. Procesi: Asymptotic Integrability, in Proceedings of the International Workshop    on Symmetry and Perturbation Theory SPT98, A. Degasperis, G. Gaeta ed. World Scientic Press pp. 23-37.     This paper has 99 citations on MR, 144 on ISI  Web of Science

[3] M. Procesi: Exponentially small splitting and Arnold diffusion for multiple time scale systems Rev. Math. Phys. 15, 4 (2003), pp. 339-386 (1 citation)

[4] G. Gentile, V. Mastropietro, M. Procesi: Periodic solutions of completely resonant nonlinear wave equations Comm. Math. Phys. 256, 2 (2005), pp. 437-490 (14 citations)

[5] M. Procesi: Quasi-periodic solutions for completely resonant nonlinear wave equations in 1D and 2D. Discr. Cont. Dyn. Syst. A 13, 3 (2005) pp. 541-552 (7 citations)

[6] G. Gentile, M. Procesi: Conservation of resonant periodic solutions for the one dimensional nonlinear Schrödinger equation, Comm. Math. Phys. 262, 3 (2006), pp. 533-553. (1 citation)

[7] M. Berti, M. Procesi: Quasi-periodic oscillations for wave equations under periodic forcing Rendiconti Mat. Acc. Naz. Lincei. s.9 16 (2005) pp. 109-116.

[8] M. Berti, M. Procesi: Quasi-periodic solutions of completely resonant forced wave Comm. in PDEs 31 , 6 (2006), pp.959-985. (5 citations)

[9] V. Mastropietro, M. Procesi: Lindstedt series for periodic solutions of beam equations under quadratic and velocity dependent nonlinearities Comm. Pure Appl. Anal. 5, 1, (2006) pp. 1-28 


[10] G. Gentile, M. Procesi: Periodic solutions for the Schrödinger equation with non-local smoothing nonlinearities in higher dimension. J. Diff. Eq. Vol. 245, (2008) pp. 3253-3326

[11] G. Gentile, M. Procesi: Periodic solutions for a class of nonlinear partial differential equations in higher dimension. Comm. Math. Phys. vol. 289; pp. 863-906 (2009)

[12] M. Berti, P. Bolle, M. Procesi: An abstract Nash Moser theorem with applications to non linear PDEs Annales Inst. Poincaré vol. 27; (2010) pp. 377-399.

[13] M. Berti, M. Procesi: Nonlinear wave equations on Compact Lie groups and homogeneous manifolds. Duke Math. J. Vol. 159, n. 3 (2011), p. 479-538.

[14] L. Corsi, G. Gentile, M. Procesi: KAM theory in configuration space and cancellations in the Lindstedt series Communications in Mathematical Physics 302 (2011), no. 2, 359-402.

[15] M. Procesi: A normal form for beam and non-local nonlinear Schrödinger equations J. Phys. A: Math. Theor. Vol: 43 (2010) n. 434028

[16] Procesi C.and Procesi M.: A Normal Form for the Schrödinger  equation with analytic non--linearities  to appear in Comm. Math. Phys. arXiv: 1012.0446

Preprints:
[17] Procesi M. and Xu X.: Quasi-Töplitz Functions in the  KAM Theorem, arxiv: 1102.1066

[18] Biasco L., Berti M.  Procesi M.: KAM for a Hamiltionian derivative wave equation.

[19] Procesi C. and  Procesi M.:  A normal form of the nonlinear Schrödinger equation  arXiv:1005.3838