Selected scientific publications by
DARIO BAMBUSI
Normal Form and dynamics of dispersive PDEs
- D. Bambusi: Asymptotic
stability of ground states in some Hamiltonian PDEs with symmetry.
Preprint 2011.
- D. Bambusi, S. Cuccagna, On dispersion of small energy solutions of
the nonlinear Klein Gordon equation with a potential, Amer. J. of Math. 133 5, (2011), 1421-1468
Birkhoff Normal Form for PDEs.
- D. Bambusi, A
Birkhoff
normal
form
theorem
for some nonlinear PDEs. Hamiltonian dynamical systems and
applications, 213–247, NATO Sci. Peace Secur. Ser. B Phys.
Biophys., Springer, Dordrecht, 2008.
- D.Bambusi, B. Grebert: Birkhoff normal form for PDEs with tame
modulus. Duke Math. J. 135, (3) (2006) 507-567.
- D. Bambusi: Nekhoroshev
theorem
for
small
amplitude solutions in nonlinear Schroedinger
equations. Math. Z., 130, 345-387, (1999).
- D. Bambusi, N.N Nekhoroshev: A
property of exponential stability in the nonlinear wave equation close
to main linear mode. Physica D, 122, 73-104 (1998).
Periodic and quasiperiodic orbits in PDEs
- Bambusi, D.; Berti, M.; Magistrelli, E. Degenerate KAM theory for partial
differential equations. J. Differential Equations
250 (2011), 8, 3379–3397,
- D. Bambusi: Families of periodic solutions of
reversible PDEs. Appendix to "Hamiltonian PDEs" by S.
Kuksin. Handbook of Dynamical Systems, Vol 1B. Edited by B. Hasselblatt
and A. Katok, Elsevier (2006).
- D. Bambusi, M. Berti: A
Birkhoff--Lewis Type theorem for some Hamiltonian PDEs. SIAM J.
of Math. Analysis. 37, 83--102
(2005).
Chains of particles and FPU problem
- D. Bambusi, S. Paleari, T. Penati: Existence and continuous
approximation of small amplitude breathers in 1D and 2D Klein--Gordon
lattices. Applicable
Analysis, 89, 9, 1313-1334, (2010)
- D. Bambusi, T. Penati, Continuous approximation of
breathers in one and two dimensional DNLS lattices, Nonlinearity, 23,
1, 143-157(2010).
- Dario Bambusi, Thomas Kappeler, Thierry Paul. De Toda à KdV. C.
R. Math. Acad. Sci. Paris 347
(2009), no. 17-18,
1025–1030,
- D. Bambusi, A. Ponno: On
metastability in FPU. Comm. Math. Phys. 264 (2006),
no. 2, 539--561.
- D. Bambusi: Exponential
Stability
of
breathers
in Hamiltonian Networks of Weakly Coupled
Oscillators, Nonlinearity, 9 (1996).
- D. Bambusi, A. Giorgilli: Exponential
stability
of
states
close to resonance in infinite dimensional
hamiltonian systems. Jour. Stat. Phys.: 71 p. 569
(1993).
Semiclassical limit
- D. Bambusi, A. Sacchetti: Exponential
times
in
the
one-dimensional Gross--Petaevskii equation with multiple
well potential. Commun. Math. Phys. 2007.
- D. Bambusi: Normal forms
and semi-classical approximation. To appear in Encyclopdia of
Mathematical Physics.
- D. Bambusi, S. Graffi, T. Paul: Normal forms
and quantization formulae. Commun. Math. Phys., 207,
173-195, (1999).
- D. Bambusi, S. Graffi, T. Paul: Long time
semiclassical approximation of quantum flows: a proof of the Ehrenfest
time, Asymptotic Anal., 21, 149-160 (1999).
COMPLETE LIST
Last update 11/09/09