publications of Vesselin PETKOV
Lower bounds on the
number of scattering poles for several strictly convex
Asymptotic Analysis, 30 (2002), 81-91.
continuation of the spectral shift function, (with V. Bruneau), Duke Math.
116 (2003), 389-430.
the reference operator and semiclassical resonances, (with
V. Bruneau), J. Funct.
202 (2003), 571-590.
singularities of the scattering kernel and inverse problems,
Inside Out: Inverse Problems and Applications, Ed. by G.
Publications, vol. 47 (2003), pp. 297-332, Cambridge
shift function and resonances for non semi-bounded and Stark
Dimassi), J. Math. Pures Appl, vol. 82 (2003). 1303-1342.
semiclassical trace formulae, Talk in the
"Maslov indices and semiclassical quantization", Regensburg,
and trace formulae for non semi-bounded Hamiltonians,
Dimassi), Exposé Séminaire EDP, Ecole Polytechnique, 2003-2004.
non-trapping time-periodic perturbations, (with J. F.
Phys. A: Math. Gen. 37 (2004), 9439-9449.
Resonances for magnetic Stark Hamiltonians in two
(with M. Dimassi), IMRN, 77 (2004), 4147-4179.
Global Strichartz estimates for the
equation with time-periodic potentials, J. Funct.
235 (2006), 357-376.
the Laplacian for trapping obstacles, (with J. F. Bony),
au Séminaire EDP, 2005-2006, Centre de Mathématiques, Ecole
Local energy decay and Strichartz estimates
the wave equation with time-periodic perturbaitons,
Phase Space Analysis of PDE, Pienza, 2005, Progress in Nonlinear
Equations and their Applications, vol. 69 (2006), p. 267-285,
and local energy decay for hyperbolic equations, (with J.
F. Bony), Annali dell´Università di Ferrara - Sec. VII - Sci.
vol. 52, no.2 (2006), 233- 246.
function for several strictly convex obstacles, Canad.
Bulletin, vol. 51 (1), (2008), 100-113.
for the wave equation with compact time-periodic positive
(with F. Colombini and J. Rauch),
Pure Appl. Math., vol. 62, (2009), 565-582.
the scattering kernel related to trapping rays, (with L. Stoyanov),
in Nonlineal Diff. Equations and their Applications, 78
(2009), Advances in Space Phase Analysis of Partial
Equations, p. 235-251, Birkhauser, Boston.
holomorphic functions in zero-free domians, (with A. Borichev),
der Mathematik, 93 (2009), 47-58.
Correlations for pairs of periodic
for open billiards, (with L. Stoyanov),
22 (2009), 2657-2679.
Spectral shift function for operators with crossed magnetic
electric fields, (with M. Dimassi), Rev. Math. Physics, 22
Analytic continuation of the resolvent
Laplacian and the dynamical zeta function, (with L. Stoyanov),
& PDE, 3 (2010), 427-489.
Spectral problems for operators with
magnetic and electric fields, (with M. Dimassi), J. Phys.
Theor. 43 (2010), 474015.
Incoming and disappearing
Maxwell's equations, (with F. Colombini and J. Rauch),
AMS, 139 (2011), 2163-2173.
Cauchy problem for hyperbolic operators
triple characteristics of variable multiplicity, (with E.
and A. Bove), Journées EDP 2010,
http://jedp.cedram.org/jedp-bin/browse?id=JEDP_2010___, Exp. No.
Distribution of periods of closed
in exponentially shrinking intervals, (with L. Stoyanov),
Math. Phys., 310 (2012), 675-704.
Semiclassical estimates of the
resolvent for trapping perturbations, (with J. F. Bony),
Spectral Theory, 3 (2013), 399-422.
Scattering problems for symmetric systems with dissipative
conditions, pp. 337-353 in Studies in Phase Space Analysis
Applications to PDEs, Progress in Nonlinear Differential
their Applications, 84, Birkhauser, 2013.
deviations for some hyperbolic systems (with L. Stoyanov),
Theory and Dynamical Systems, to appear.
Cauchy problem for effectively
operators with triple characteristics of variable multiplicity,
(with E. Bernardi and A. Bove), Preprint 2013.
Spectral problems for non elliptic
systems with dissipative boundary conditions, (with F.
and J. Rauch),
Journal of Funct. Analysis, 267 (2014), 1637-1661.
Upper bound for
counting function for interior transmission eigenvalues, (with M.
Dimassi), Preprint 2013.
Asymptotics of the number of interior transmission
eigenvalues, (with G. Vodev), Preprint 2014.
Spectral estimates for Ruelle
transfer operators with two parameters and applications,
Stoyanov), Preprint 2014.