Some
publications of Vesselin
PETKOV
Lower
bounds on the number of scattering poles for several strictly convex
obstacles, Asymptotic Analysis, 30 (2002), 81-91.
Meromorphic
continuation
of the spectral shift function, (with V.
Bruneau), Duke Math. J. 116 (2003), 389-430.
Eigenvalues of
the
reference operator and semiclassical resonances, (with V.
Bruneau), J. Funct. Anal. 202 (2003), 571-590.
Sojourn times,
singularities
of the scattering kernel and inverse problems, (with L.
Stoyanov), Inside Out: Inverse Problems and
Applications, Ed. by G. Uhlmann, MSRI Publications, vol. 47
(2003), pp.
297-332, Cambridge University Press.
Spectral
shift function and resonances for non
semi-bounded and Stark hamiltonians,
(with M. Dimassi), J. Math. Pures Appl, vol.
82 (2003). 1303-1342.
Resonances and
semiclassical trace formulae, Talk in the
Workshop "Maslov indices and semiclassical quantization",
Regensburg, March 2004.
Semiclassical resonances
and trace formulae for non semi-bounded Hamiltonians, (with M.
Dimassi), Exposé Séminaire EDP, Ecole Polytechnique,
2003-2004.
Resonances
for
non-trapping
time-periodic perturbations, (with J. F. Bony), J. Phys. A: Math.
Gen. 37 (2004), 9439-9449.
Resonances for magnetic Stark Hamiltonians in two dimensional case,
(with M. Dimassi), IMRN, 77 (2004), 4147-4179.
Global Strichartz estimates for the wave
equation
with time-periodic potentials, J. Funct. Anal., 235
(2006), 357-376.
Estimates
for the cut-off resolvent of the
Laplacian for trapping obstacles, (with J. F. Bony), Exposé
au Séminaire EDP, 2005-2006, Centre de Mathématiques,
Ecole Polytechnique.
Local energy decay and Strichartz estimates for
the wave equation with time-periodic perturbaitons, Conference
Phase Space Analysis of PDE, Pienza, 2005, Progress in Nonlinear Diff.
Equations and their Applications, vol. 69 (2006), p. 267-285,
Birhäuser, Boston.
Resolvent
estimates and
local energy decay for
hyperbolic equations, (with J. F. Bony), Annali
dell´Università di Ferrara - Sec. VII - Sci. Math. vol.
52, no.2 (2006), 233- 246.
Dynamical
zeta function
for
several strictly
convex obstacles, Canad. Math. Bulletin, vol. 51 (1), (2008),
100-113.
Exponential growth for the wave equation with compact time-periodic
positive potential, (with F. Colombini and J. Rauch), Comm.
Pure
Appl. Math., vol. 62, (2009), 565-582.
Singularities
of the scattering kernel related to trapping rays, (with L.
Stoyanov), Progress in Nonlineal Diff. Equations and their
Applications, 78 (2009), Advances in Space Phase Analysis of
Partial Differential Equations, p. 235-251, Birkhauser, Boston.
Estimates
of holomorphic functions in zero-free domians,
(with A.
Borichev), Archiv der Mathematik, 93 (2009), 47-58.