publications of Vesselin PETKOV
Lower bounds on the
number of scattering poles for several strictly convex obstacles,
Asymptotic Analysis, 30 (2002), 81-91.
continuation of the spectral shift function, (with V. Bruneau), Duke Math. J.
116 (2003), 389-430.
the reference operator and semiclassical resonances, (with V. Bruneau), J. Funct. Anal.
202 (2003), 571-590.
singularities of the scattering kernel and inverse problems, (with
Inside Out: Inverse Problems and Applications, Ed. by G. Uhlmann, MSRI
Publications, vol. 47 (2003), pp. 297-332, Cambridge University
shift function and resonances for non semi-bounded and Stark
hamiltonians, (with M.
Dimassi), J. Math. Pures Appl, vol. 82 (2003). 1303-1342.
semiclassical trace formulae, Talk in the Workshop
"Maslov indices and semiclassical quantization", Regensburg, March 2004.
and trace formulae for non semi-bounded Hamiltonians, (with M.
Dimassi), Exposé Séminaire EDP, Ecole Polytechnique, 2003-2004.
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.
of the Laplacian for trapping obstacles, (with J. F. Bony), Exposé
au Séminaire EDP, 2005-2006, Centre de Mathématiques, Ecole
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,
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.
zeta function for several strictly convex obstacles, Canad. Math.
Bulletin, vol. 51 (1), (2008), 100-113.
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.
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.
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),
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
Distribution of periods of closed trajectories
in exponentially shrinking intervals, (with L. Stoyanov),
Commun. Math. Phys., 310 (2012), 675-704.
Semiclassical estimates of the cut-off
resolvent for trapping perturbations, (with J. F. Bony), Journal of
Spectral Theory, 3 (2013), 399-422.
Scattering problems for symmetric systems with dissipative boundary
conditions, pp. 337-353 in Studies in Phase Space Analysis and
Applications to PDEs, Progress in Nonlinear Differential Equations and
their Applications, 84, Birkhauser, 2013.
large deviations for some hyperbolic systems (with L. Stoyanov),
Ergodic Theory and Dynamical Systems, to appear.
Cauchy problem for effectively hyperbolic
operators with triple characteristics of variable multiplicity,
(with E. Bernardi and A. Bove), Preprint 2013.
Spectral problems for non elliptic symmetric
systems with dissipative boundary conditions, (with F. Colombini
and J. Rauch),
Journal of Funct. Analysis, 267 (2014), 1637-1661.
Upper bound for the
counting function for interior transmission eigenvalues, (with M.
Dimassi), Preprint 2013.
Asymptotics of the number of interior transmission
eigenvalues, (with G. Vodev), Preprint 2014.