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.
Correlations for pairs of periodic
trajectories
for open billiards, (with L. Stoyanov),
Nonlinearity,
22 (2009), 2657-2679.
Spectral shift function for operators with crossed magnetic
and
electric fields, (with M. Dimassi), Rev. Math. Physics, 22
(2010),
355-380.
Analytic continuation of the resolvent
of the
Laplacian and the dynamical zeta function, (with L. Stoyanov),
Analysis
& PDE, 3 (2010), 427-489.
Spectral problems for operators with
crossed
magnetic and electric fields, (with M. Dimassi), J. Phys.
A: Math.
Theor. 43 (2010), 474015.
Incoming and disappearing
solutions for
Maxwell's equations, (with F. Colombini and J. Rauch),
Proc. AMS, 139 (2011), 2163-2173.
Cauchy problem for hyperbolic operators
with
triple characteristics of variable multiplicity, (with E.
Bernardi
and A. Bove), Journées EDP 2010,
http://jedp.cedram.org/jedp-bin/browse?id=JEDP_2010___, Exp. No.
4, 13
p.
Distribution of periods of closed
trajectories
in exponentially shrinking intervals, (with L. Stoyanov),
Commun.
Math. Phys., (2012), DOI: 10.1007/s00220-012-1419-x.
Semiclassical estimates of the
cut-off resolvent for trapping perturbations, (with
J. F. Bony), Preprint 2012.