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Petkov, Vesselin M.

Author ID: petkov.vesselin-m Recent zbMATH articles by "Petkov, Vesselin M."
Published as: Petkov, Vesselin; Petkov, V. M.; Petkov, Vesselin M.; Petkov, V.; Petkov, Veselin M.; Petkov, Vesseline M.; Petkov, Vesseline; Petkov, Veselin; Petkov, Vesslin
Further Spellings: Петков В М
Homepage: https://www.math.u-bordeaux.fr/~vpetkov/
External Links: MGP · ResearchGate · Math-Net.Ru · dblp
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Serials

9 Comptes Rendus de l’Académie des Sciences. Série I
5 Asymptotic Analysis
5 Serdica
5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Communications in Mathematical Physics
4 Doklady Bolgarskoĭ Akademii Nauk
4 Communications in Partial Differential Equations
4 Séminaire Équations aux Dérivées Partielles
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Archiv der Mathematik
3 Journal of Functional Analysis
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Nonlinearity
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Reviews in Mathematical Physics
2 Mathematische Zeitschrift
2 Soviet Mathematics. Doklady
2 Ergodic Theory and Dynamical Systems
2 IMRN. International Mathematics Research Notices
2 Discrete and Continuous Dynamical Systems
2 Annales Henri Poincaré
2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Pitman Research Notes in Mathematics Series
2 Inverse Problems and Imaging
2 Journal of Spectral Theory
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Mathematical Bulletin
1 Duke Mathematical Journal
1 Mathematische Nachrichten
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Transactions of the Moscow Mathematical Society
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Mathematica Balkanica. New Series
1 Journal of Physics A: Mathematical and General
1 Bulletin of the American Mathematical Society. New Series
1 Matemática Aplicada e Computacional
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 SIAM Journal on Scientific Computing
1 Cubo Matemática Educacional
1 Journal of Hyperbolic Differential Equations
1 Studies in Mathematics and its Applications
1 Translations. Series 2. American Mathematical Society
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Journal of Physics A: Mathematical and Theoretical
1 Analysis & PDE
1 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika
1 Research in the Mathematical Sciences
1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 632 times in 408 Documents Cited by Year
Necessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed. Zbl 0312.35049
Ivrii, V. Ja.; Petkov, V. M.
96
1974
Geometry of reflecting rays and inverse spectral problems. Zbl 0761.35077
Petkov, Vesselin M.; Stoyanov, Luchezar N.
39
1992
Semi-classical estimates on the scattering determinant. Zbl 1041.81041
Petkov, Vesselin; Zworski, Maciej
33
2001
Scattering theory for hyperbolic operators. Zbl 0687.35067
Petkov, Vesselin
28
1989
Asymptotique semi-classique du spectre d’hamiltoniens quantiques et trajectoires classiques périodiques. Zbl 0574.35067
Petkov, Vesslin; Robert, Didier
24
1985
Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004
Petkov, Vesselin; Zworski, Maciej
21
1999
Asymptotics of the number of the interior transmission eigenvalues. Zbl 1458.35291
Petkov, Vesselin; Vodev, Georgi
19
2017
Asymptotic behavior of the scattering phase for non-trapping obstacles. Zbl 0476.35014
Petkov, V.; Popov, G.
19
1982
Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Zbl 1251.37031
Petkov, Vesselin; Stoyanov, Luchezar
14
2010
Meromorphic continuation of the spectral shift function. Zbl 1033.35081
Bruneau, Vincent; Petkov, Vesselin
13
2003
Periods of multiple reflecting geodesics and inverse spectral results. Zbl 0652.35027
Petkov, Vesselin; Stoyanov, Luchezar
12
1987
Geometry of the generalized geodesic flow and inverse spectral problems. 2nd edition. Zbl 1354.35002
Petkov, Vesselin M.; Stoyanov, Luchezar N.
11
2017
On the number of periodic reflecting rays in generic domains. Zbl 0668.58005
Petkov, Vesselin M.; Stojanov, Luchezar N.
11
1988
Sojourn times of trapping rays and the behavior of the modified resolvent of the Laplacian. Zbl 0838.35093
Petkov, Vesselin; Stoyanov, Latchezar
11
1995
High frequency asymptotics of the scattering amplitude for non-convex bodies. Zbl 0435.35065
Petkov, V. M.
10
1980
Distribution of periods of closed trajectories in exponentially shrinking intervals. Zbl 1263.37055
Petkov, Vesselin; Stoyanov, Luchezar
10
2012
Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity. Zbl 1331.35210
Bernardi, Enrico; Bove, Antonio; Petkov, Vesselin
9
2015
Ruelle transfer operators with two complex parameters and applications. Zbl 1366.37055
Stoyanov, Luchezar; Petkov, Vesselin
9
2016
Spectrum of the Poincaré map for periodic reflecting rays in generic domains. Zbl 0673.58035
Petkov, Vesselin; Stoyanov, Luchezar
9
1987
Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Zbl 0919.35095
Petkov, Vesselin; Popov, Georgi
9
1998
Semiclassical resolvent estimates for trapping perturbations. Zbl 1028.81020
Bruneau, Vincent; Petkov, Vesselin
9
2000
Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
9
2014
Representation of the spectral shift function and spectral asymptotics for trapping perturbations. Zbl 1088.35525
Bruneau, Vincent; Petkov, Vesselin
9
2001
Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. Zbl 1174.81317
Dimassi, Mouez; Petkov, Vesselin
8
2003
Spectral shift function for operators with crossed magnetic and electric fields. Zbl 1192.35037
Dimassi, Mouez; Petkov, Vesselin
7
2010
Correlations for pairs of periodic trajectories for open billiards. Zbl 1185.37094
Petkov, Vesselin; Stoyanov, Luchezar
7
2009
Resolvent estimates and local energy decay for hyperbolic equations. Zbl 1142.35059
Bony, Jean-François; Petkov, Vesselin
7
2006
Resonances for magnetic Stark Hamiltonians in two-dimensional case. Zbl 1069.35062
Dimassi, Mouez; Petkov, Vesselin
6
2004
Cauchy problem for effectively hyperbolic operators with triple characteristics. Zbl 1437.35451
Nishitani, Tatsuo; Petkov, Vesselin
6
2019
Localization of the interior transmission eigenvalues for a ball. Zbl 1359.35117
Petkov, Vesselin; Vodev, Georgi
6
2017
Existence des opérateurs d’ondes pour les systèmes hyperboliques avec un potentiel périodique en temps. (Existence of the wave operators for the hyperbolic systems with time periodic potential). Zbl 0657.35102
Bachelot, Alain; Petkov, Vesselin
6
1987
Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
5
2016
Location of eigenvalues for the wave equation with dissipative boundary conditions. Zbl 1372.35202
Petkov, Vesselin
5
2016
Sharp large deviations for some hyperbolic systems. Zbl 1351.37114
Petkov, Vesselin; Stoyanov, Luchezar
5
2015
Singularities of the scattering kernel and scattering invariants for several strictly convex obstacles. Zbl 0685.35083
Petkov, Vesselin M.; Stoyanov, L. N.
5
1989
Spectral problems for operators with crossed magnetic and electric fields. Zbl 1205.35052
Dimassi, Mouez; Petkov, Vesselin
5
2010
Microlocal forms for hyperbolic systems. Zbl 0433.35045
Petkov, Vesseline M.
5
1979
Existence de l’opérateur de diffusion pour l’équation des ondes avec un potentiel périodique en temps. (Existence of scattering operator for the wave equation with time-periodic potential). Zbl 0611.35067
Bachelot, Alain; Petkov, Vesselin
5
1986
Numerical approximation of asymptotically disappearing solutions of Maxwell’s equations. Zbl 1285.65075
Adler, J. H.; Petkov, V.; Zikatanov, L. T.
4
2013
On the Lebesgue measure of the periodic points of a contact manifold. Zbl 0816.58008
Petkov, Vesselin; Popov, Georgi
4
1995
Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
4
2011
Singularities of the scattering kernel for generic obstacles. Zbl 0729.35099
Cardoso, Fernando; Petkov, Vesselin; Stoyanov, Luchezar
4
1990
Resonances for non-trapping time-periodic perturbations. Zbl 1137.35399
Bony, Jean-François; Petkov, Vesselin
3
2004
Scattering problems for symmetric systems with dissipative boundary conditions. Zbl 1273.35202
Petkov, Vesselin
3
2013
Semiclassical estimates of the cut-off resolvent for trapping perturbations. Zbl 1290.47013
Bony, Jean-François; Petkov, Vesselin
3
2013
Sojourn times, singularities of the scattering kernel and inverse problems. Zbl 1086.35146
Petkov, Vesselin; Stoyanov, Luchezar
3
2003
Singularities of the scattering kernel related to trapping rays. Zbl 1197.35183
Petkov, Vesselin; Stoyanov, Luchezar
3
2009
The Cauchy problem for a certain class of non-strictly hyperbolic equations with double characteristics. Zbl 0442.35046
Petkov, Veselin M.
3
1975
Representation of the scattering operator for dissipative hyperbolic systems. Zbl 0464.35070
Petkov, Vesselin
3
1981
On the Cauchy problem for first-order hyperbolic systems with multiple characteristics. Zbl 0284.35044
Petkov, V. M.
3
1973
Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes. Zbl 0497.35070
Petkov, V.
3
1981
La représentation de l’application de Poincaré correspondant aux rayons périodiques réfléchissants. Zbl 0543.35004
Petkov, Vesselin; Vogel, Pierre
3
1983
Le problème de Cauchy et la propagation des singularites pour une classe des systèmes hyperboliques non symetrisables. Zbl 0309.35048
Petkov, V. M.
3
1975
Erratum: “Breit-Wigner approximation and the distribution of resonances”. Zbl 1046.81551
Petkov, Vesselin; Zworski, Maciej
3
2000
Periodic geodesics of generic nonconvex domains in \(R^ 2\) and the Poisson relation. Zbl 0602.58050
Petkov, Vesselin M.; Stoyanov, Luchezar
3
1986
Scattering theory for mixed problems in the exterior of moving obstacles. Zbl 0732.35065
Petkov, V. M.
3
1987
Singularities of the scattering kernel for trapping obstacles. Zbl 0887.35114
Petkov, Vesselin; Stoyanov, Latchezar
2
1996
Inverse scattering problem for transparent obstacles. Zbl 0504.35073
Petkov, Vesselin
2
1982
Sur la condition de Levi pour des systèmes hyperboliques à caractéristiques de multiplicité variable. Zbl 0432.35054
Petkov, Vesselin M.
2
1977
The parametrix of the Cauchy problem for nonsymmetrizable hyperbolic systems with characteristics of constant multiplicity. Zbl 0453.35054
Petkov, V. M.
2
1980
Théorème de type RAGE pour des opérateurs à puissances bornées. (RAGE type theorem for power bounded operators). Zbl 0603.47001
Georgiev, Vladimir; Petkov, Vesselin
2
1986
Eigenvalues of the reference operator and semiclassical resonances. Zbl 1025.35013
Bruneau, Vincent; Petkov, Vesselin
2
2003
Lower bounds on the number of scattering poles for several strictly convex obstacles. Zbl 1290.35172
Petkov, Vesselin
2
2002
Leading singularity of the scattering kernel for moving obstacles. Zbl 0657.35106
Petkov, V. M.; Rangelov, Ts. V.
2
1987
Exponential growth for the wave equation with compact time-periodic positive potential. Zbl 1171.35422
Colombini, Ferruccio; Rauch, Jeffrey; Petkov, Vesselin
2
2009
Weyl formula for the negative dissipative eigenvalues of Maxwell’s equations. Zbl 1393.35135
Colombini, Ferruccio; Petkov, Vesselin
2
2018
Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane. Zbl 1443.35094
Nishitani, Tatsuo; Petkov, Vesselin
2
2020
Notwendige Bedingungen für die Korrektheit des Cauchyproblems für hyperbolische Systeme mit mehrfachen Charakteristiken. Zbl 0249.35053
Petkov, V. M.
1
1972
Spectral estimates for Ruelle operators with two parameters and sharp large deviations. Zbl 1432.37047
Petkov, Vesselin; Stoyanov, Luchezar
1
2019
Ruelle operators with two complex parameters and applications. (Opérateurs de Ruelle avec deux paramètres complexes et applications.) Zbl 1358.37053
Petkov, Vesselin; Stoyanov, Luchezar
1
2015
A semi-classical trace formula and asymptotics of the eigenvalues for the Schrödinger operator. (Une formule de trace semi-classique et asymptotique de valeurs propres de l’opérateur de Schrödinger.) Zbl 0858.35095
Petkov, Vesselin; Popov, Georgi
1
1996
Les singularités du noyau de l’opérateur de diffusion pour des obstacles non-convexes. (Singularities of the kernel of the diffusion operator for nonconvex obstacles). Zbl 0707.35092
Petkov, V. M.
1
1990
Singularities of the scattering kernel for non-convex obstacles. Zbl 0749.35031
Petkov, V. M.
1
1991
Les problèmes inverses de diffusion pour les perturbations dépendant du temps. (Inverse diffusion problems for time dependent perturbations). Zbl 0682.35103
Petkov, V.
1
1988
RAGE theorem for power bounded operators and decay of local energy for moving obstacles. Zbl 0705.35094
Petkov, Vesselin M.; Georgiev, Vladimir S.
1
1989
Singularities of the scattering kernel for a class of star-shaped non- convex obstacles. Zbl 0705.35095
Petkov, V.; Stoyanov, L.
1
1989
Leading singularity of the scattering kernel for moving obstacles with dissipative boundary conditions. Zbl 0737.35050
Cardoso, Fernando; Petkov, Vesselin
1
1990
Diffusion phase for some restricted perturbations. (Phase de diffusion pour des perturbations captives.) Zbl 0718.35007
Petkov, Vesselin M.
1
1990
Propagation of singularities and inverse scattering problem for transparent obstacles. Zbl 0487.35055
Petkov, Vesselin
1
1982
Propagation des singularites sur le bord pour des systèmes hyperboliques à caractéristiques de multiplicité constante. Zbl 0487.35059
Petkov, Vesselin
1
1981
La distribution des poles de la matrice de diffusion. Zbl 0537.35061
Petkov, V. M.
1
1983
Comportement asymptotique de la fonction spectrale de l’opérateur de Laplace-Beltrami sur une variété ayant des singularités coniques. Zbl 0543.35079
Pham The Lai; Petkov, Vesselin
1
1983
Sur les systemes regulierement hyperboliques du premier ordre. Zbl 0353.35061
Petkov, Veselin M.; Kutev, Nikolai D.
1
1976
Une paramètrix du problème de Cauchy pour des systèmes hyperboliques à caractéristiques de multiplicité constante. Zbl 0355.35054
Petkov, V. M.
1
1976
Asymptotique de la phase de diffusion pour des domaines non convexes. Zbl 0465.35071
Petkov, Vesselin; Popov, Georgi
1
1981
Distribution des pôles de la matrice de diffusion pour des obstacles captifs. Zbl 0519.35044
Petkov, Vesselin
1
1982
Singularities of the scattering kernel for non convex obstacles. Zbl 0639.35065
Petkov, Vesselin M.; Stoyanov, Luchezar N.
1
1987
Existence de l’opérateur de diffusion pour l’équation des ondes avec un potentiel périodique en temps. (Existence of the diffusion operator for the wave equation with a time periodic potential). Zbl 0673.35062
Bachelot, A.; Petkov, V.
1
1988
Upper bounds on the number of scattering poles and the Lax-Phillips conjecture. Zbl 0801.35099
Petkov, Vesselin; Vodev, Georgi
1
1993
Weyl asymptotic of the scattering phase for metric perturbations. Zbl 0856.35097
Petkov, Vesselin
1
1995
Le comportement de la résolvante modifiée du Laplacien pour des obstacles captifs. (The behaviour of the modified resolvent of the Laplacean for trapping obstacles). Zbl 0850.35069
Petkov, V. M.
1
1992
Dynamical zeta function for several strictly convex obstacles. Zbl 1143.11034
Petkov, Vesselin
1
2008
Sharp large deviations for some hyperbolic flows. Zbl 1257.37021
Petkov, Vesselin; Stoyanov, Luchezar
1
2012
Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Zbl 1125.37013
Petkov, Vesselin; Stoyanov, Latchezar
1
2007
Leading singularity of the scattering kernel for moving obstacles. Zbl 0729.35100
Petkov, Vesselin; Rangelov, Tsviatko
1
1990
On the nonlinear wave equation with time-periodic potential. Zbl 1470.35237
Petkov, Vesselin; Tzvetkov, Nikolay
1
2021
Weyl formula for the eigenvalues of the dissipative acoustic operator. Zbl 1481.35299
Petkov, Vesselin
1
2022
Weyl formula for the eigenvalues of the dissipative acoustic operator. Zbl 1481.35299
Petkov, Vesselin
1
2022
On the nonlinear wave equation with time-periodic potential. Zbl 1470.35237
Petkov, Vesselin; Tzvetkov, Nikolay
1
2021
Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane. Zbl 1443.35094
Nishitani, Tatsuo; Petkov, Vesselin
2
2020
Cauchy problem for effectively hyperbolic operators with triple characteristics. Zbl 1437.35451
Nishitani, Tatsuo; Petkov, Vesselin
6
2019
Spectral estimates for Ruelle operators with two parameters and sharp large deviations. Zbl 1432.37047
Petkov, Vesselin; Stoyanov, Luchezar
1
2019
Weyl formula for the negative dissipative eigenvalues of Maxwell’s equations. Zbl 1393.35135
Colombini, Ferruccio; Petkov, Vesselin
2
2018
Asymptotics of the number of the interior transmission eigenvalues. Zbl 1458.35291
Petkov, Vesselin; Vodev, Georgi
19
2017
Geometry of the generalized geodesic flow and inverse spectral problems. 2nd edition. Zbl 1354.35002
Petkov, Vesselin M.; Stoyanov, Luchezar N.
11
2017
Localization of the interior transmission eigenvalues for a ball. Zbl 1359.35117
Petkov, Vesselin; Vodev, Georgi
6
2017
Ruelle transfer operators with two complex parameters and applications. Zbl 1366.37055
Stoyanov, Luchezar; Petkov, Vesselin
9
2016
Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
5
2016
Location of eigenvalues for the wave equation with dissipative boundary conditions. Zbl 1372.35202
Petkov, Vesselin
5
2016
Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity. Zbl 1331.35210
Bernardi, Enrico; Bove, Antonio; Petkov, Vesselin
9
2015
Sharp large deviations for some hyperbolic systems. Zbl 1351.37114
Petkov, Vesselin; Stoyanov, Luchezar
5
2015
Ruelle operators with two complex parameters and applications. (Opérateurs de Ruelle avec deux paramètres complexes et applications.) Zbl 1358.37053
Petkov, Vesselin; Stoyanov, Luchezar
1
2015
Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
9
2014
Numerical approximation of asymptotically disappearing solutions of Maxwell’s equations. Zbl 1285.65075
Adler, J. H.; Petkov, V.; Zikatanov, L. T.
4
2013
Scattering problems for symmetric systems with dissipative boundary conditions. Zbl 1273.35202
Petkov, Vesselin
3
2013
Semiclassical estimates of the cut-off resolvent for trapping perturbations. Zbl 1290.47013
Bony, Jean-François; Petkov, Vesselin
3
2013
Distribution of periods of closed trajectories in exponentially shrinking intervals. Zbl 1263.37055
Petkov, Vesselin; Stoyanov, Luchezar
10
2012
Sharp large deviations for some hyperbolic flows. Zbl 1257.37021
Petkov, Vesselin; Stoyanov, Luchezar
1
2012
Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
4
2011
Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Zbl 1251.37031
Petkov, Vesselin; Stoyanov, Luchezar
14
2010
Spectral shift function for operators with crossed magnetic and electric fields. Zbl 1192.35037
Dimassi, Mouez; Petkov, Vesselin
7
2010
Spectral problems for operators with crossed magnetic and electric fields. Zbl 1205.35052
Dimassi, Mouez; Petkov, Vesselin
5
2010
Correlations for pairs of periodic trajectories for open billiards. Zbl 1185.37094
Petkov, Vesselin; Stoyanov, Luchezar
7
2009
Singularities of the scattering kernel related to trapping rays. Zbl 1197.35183
Petkov, Vesselin; Stoyanov, Luchezar
3
2009
Exponential growth for the wave equation with compact time-periodic positive potential. Zbl 1171.35422
Colombini, Ferruccio; Rauch, Jeffrey; Petkov, Vesselin
2
2009
Dynamical zeta function for several strictly convex obstacles. Zbl 1143.11034
Petkov, Vesselin
1
2008
Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Zbl 1125.37013
Petkov, Vesselin; Stoyanov, Latchezar
1
2007
Resolvent estimates and local energy decay for hyperbolic equations. Zbl 1142.35059
Bony, Jean-François; Petkov, Vesselin
7
2006
Resonances for magnetic Stark Hamiltonians in two-dimensional case. Zbl 1069.35062
Dimassi, Mouez; Petkov, Vesselin
6
2004
Resonances for non-trapping time-periodic perturbations. Zbl 1137.35399
Bony, Jean-François; Petkov, Vesselin
3
2004
Meromorphic continuation of the spectral shift function. Zbl 1033.35081
Bruneau, Vincent; Petkov, Vesselin
13
2003
Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. Zbl 1174.81317
Dimassi, Mouez; Petkov, Vesselin
8
2003
Sojourn times, singularities of the scattering kernel and inverse problems. Zbl 1086.35146
Petkov, Vesselin; Stoyanov, Luchezar
3
2003
Eigenvalues of the reference operator and semiclassical resonances. Zbl 1025.35013
Bruneau, Vincent; Petkov, Vesselin
2
2003
Lower bounds on the number of scattering poles for several strictly convex obstacles. Zbl 1290.35172
Petkov, Vesselin
2
2002
Semi-classical estimates on the scattering determinant. Zbl 1041.81041
Petkov, Vesselin; Zworski, Maciej
33
2001
Representation of the spectral shift function and spectral asymptotics for trapping perturbations. Zbl 1088.35525
Bruneau, Vincent; Petkov, Vesselin
9
2001
Semiclassical resolvent estimates for trapping perturbations. Zbl 1028.81020
Bruneau, Vincent; Petkov, Vesselin
9
2000
Erratum: “Breit-Wigner approximation and the distribution of resonances”. Zbl 1046.81551
Petkov, Vesselin; Zworski, Maciej
3
2000
Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004
Petkov, Vesselin; Zworski, Maciej
21
1999
Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Zbl 0919.35095
Petkov, Vesselin; Popov, Georgi
9
1998
Singularities of the scattering kernel for trapping obstacles. Zbl 0887.35114
Petkov, Vesselin; Stoyanov, Latchezar
2
1996
A semi-classical trace formula and asymptotics of the eigenvalues for the Schrödinger operator. (Une formule de trace semi-classique et asymptotique de valeurs propres de l’opérateur de Schrödinger.) Zbl 0858.35095
Petkov, Vesselin; Popov, Georgi
1
1996
Sojourn times of trapping rays and the behavior of the modified resolvent of the Laplacian. Zbl 0838.35093
Petkov, Vesselin; Stoyanov, Latchezar
11
1995
On the Lebesgue measure of the periodic points of a contact manifold. Zbl 0816.58008
Petkov, Vesselin; Popov, Georgi
4
1995
Weyl asymptotic of the scattering phase for metric perturbations. Zbl 0856.35097
Petkov, Vesselin
1
1995
Upper bounds on the number of scattering poles and the Lax-Phillips conjecture. Zbl 0801.35099
Petkov, Vesselin; Vodev, Georgi
1
1993
Geometry of reflecting rays and inverse spectral problems. Zbl 0761.35077
Petkov, Vesselin M.; Stoyanov, Luchezar N.
39
1992
Le comportement de la résolvante modifiée du Laplacien pour des obstacles captifs. (The behaviour of the modified resolvent of the Laplacean for trapping obstacles). Zbl 0850.35069
Petkov, V. M.
1
1992
Singularities of the scattering kernel for non-convex obstacles. Zbl 0749.35031
Petkov, V. M.
1
1991
Singularities of the scattering kernel for generic obstacles. Zbl 0729.35099
Cardoso, Fernando; Petkov, Vesselin; Stoyanov, Luchezar
4
1990
Les singularités du noyau de l’opérateur de diffusion pour des obstacles non-convexes. (Singularities of the kernel of the diffusion operator for nonconvex obstacles). Zbl 0707.35092
Petkov, V. M.
1
1990
Leading singularity of the scattering kernel for moving obstacles with dissipative boundary conditions. Zbl 0737.35050
Cardoso, Fernando; Petkov, Vesselin
1
1990
Diffusion phase for some restricted perturbations. (Phase de diffusion pour des perturbations captives.) Zbl 0718.35007
Petkov, Vesselin M.
1
1990
Leading singularity of the scattering kernel for moving obstacles. Zbl 0729.35100
Petkov, Vesselin; Rangelov, Tsviatko
1
1990
Scattering theory for hyperbolic operators. Zbl 0687.35067
Petkov, Vesselin
28
1989
Singularities of the scattering kernel and scattering invariants for several strictly convex obstacles. Zbl 0685.35083
Petkov, Vesselin M.; Stoyanov, L. N.
5
1989
RAGE theorem for power bounded operators and decay of local energy for moving obstacles. Zbl 0705.35094
Petkov, Vesselin M.; Georgiev, Vladimir S.
1
1989
Singularities of the scattering kernel for a class of star-shaped non- convex obstacles. Zbl 0705.35095
Petkov, V.; Stoyanov, L.
1
1989
On the number of periodic reflecting rays in generic domains. Zbl 0668.58005
Petkov, Vesselin M.; Stojanov, Luchezar N.
11
1988
Les problèmes inverses de diffusion pour les perturbations dépendant du temps. (Inverse diffusion problems for time dependent perturbations). Zbl 0682.35103
Petkov, V.
1
1988
Existence de l’opérateur de diffusion pour l’équation des ondes avec un potentiel périodique en temps. (Existence of the diffusion operator for the wave equation with a time periodic potential). Zbl 0673.35062
Bachelot, A.; Petkov, V.
1
1988
Periods of multiple reflecting geodesics and inverse spectral results. Zbl 0652.35027
Petkov, Vesselin; Stoyanov, Luchezar
12
1987
Spectrum of the Poincaré map for periodic reflecting rays in generic domains. Zbl 0673.58035
Petkov, Vesselin; Stoyanov, Luchezar
9
1987
Existence des opérateurs d’ondes pour les systèmes hyperboliques avec un potentiel périodique en temps. (Existence of the wave operators for the hyperbolic systems with time periodic potential). Zbl 0657.35102
Bachelot, Alain; Petkov, Vesselin
6
1987
Scattering theory for mixed problems in the exterior of moving obstacles. Zbl 0732.35065
Petkov, V. M.
3
1987
Leading singularity of the scattering kernel for moving obstacles. Zbl 0657.35106
Petkov, V. M.; Rangelov, Ts. V.
2
1987
Singularities of the scattering kernel for non convex obstacles. Zbl 0639.35065
Petkov, Vesselin M.; Stoyanov, Luchezar N.
1
1987
Existence de l’opérateur de diffusion pour l’équation des ondes avec un potentiel périodique en temps. (Existence of scattering operator for the wave equation with time-periodic potential). Zbl 0611.35067
Bachelot, Alain; Petkov, Vesselin
5
1986
Periodic geodesics of generic nonconvex domains in \(R^ 2\) and the Poisson relation. Zbl 0602.58050
Petkov, Vesselin M.; Stoyanov, Luchezar
3
1986
Théorème de type RAGE pour des opérateurs à puissances bornées. (RAGE type theorem for power bounded operators). Zbl 0603.47001
Georgiev, Vladimir; Petkov, Vesselin
2
1986
Asymptotique semi-classique du spectre d’hamiltoniens quantiques et trajectoires classiques périodiques. Zbl 0574.35067
Petkov, Vesslin; Robert, Didier
24
1985
La représentation de l’application de Poincaré correspondant aux rayons périodiques réfléchissants. Zbl 0543.35004
Petkov, Vesselin; Vogel, Pierre
3
1983
La distribution des poles de la matrice de diffusion. Zbl 0537.35061
Petkov, V. M.
1
1983
Comportement asymptotique de la fonction spectrale de l’opérateur de Laplace-Beltrami sur une variété ayant des singularités coniques. Zbl 0543.35079
Pham The Lai; Petkov, Vesselin
1
1983
Asymptotic behavior of the scattering phase for non-trapping obstacles. Zbl 0476.35014
Petkov, V.; Popov, G.
19
1982
Inverse scattering problem for transparent obstacles. Zbl 0504.35073
Petkov, Vesselin
2
1982
Propagation of singularities and inverse scattering problem for transparent obstacles. Zbl 0487.35055
Petkov, Vesselin
1
1982
Distribution des pôles de la matrice de diffusion pour des obstacles captifs. Zbl 0519.35044
Petkov, Vesselin
1
1982
Representation of the scattering operator for dissipative hyperbolic systems. Zbl 0464.35070
Petkov, Vesselin
3
1981
Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes. Zbl 0497.35070
Petkov, V.
3
1981
Propagation des singularites sur le bord pour des systèmes hyperboliques à caractéristiques de multiplicité constante. Zbl 0487.35059
Petkov, Vesselin
1
1981
Asymptotique de la phase de diffusion pour des domaines non convexes. Zbl 0465.35071
Petkov, Vesselin; Popov, Georgi
1
1981
High frequency asymptotics of the scattering amplitude for non-convex bodies. Zbl 0435.35065
Petkov, V. M.
10
1980
The parametrix of the Cauchy problem for nonsymmetrizable hyperbolic systems with characteristics of constant multiplicity. Zbl 0453.35054
Petkov, V. M.
2
1980
Microlocal forms for hyperbolic systems. Zbl 0433.35045
Petkov, Vesseline M.
5
1979
Sur la condition de Levi pour des systèmes hyperboliques à caractéristiques de multiplicité variable. Zbl 0432.35054
Petkov, Vesselin M.
2
1977
Sur les systemes regulierement hyperboliques du premier ordre. Zbl 0353.35061
Petkov, Veselin M.; Kutev, Nikolai D.
1
1976
Une paramètrix du problème de Cauchy pour des systèmes hyperboliques à caractéristiques de multiplicité constante. Zbl 0355.35054
Petkov, V. M.
1
1976
The Cauchy problem for a certain class of non-strictly hyperbolic equations with double characteristics. Zbl 0442.35046
Petkov, Veselin M.
3
1975
Le problème de Cauchy et la propagation des singularites pour une classe des systèmes hyperboliques non symetrisables. Zbl 0309.35048
Petkov, V. M.
3
1975
Necessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed. Zbl 0312.35049
Ivrii, V. Ja.; Petkov, V. M.
96
1974
On the Cauchy problem for first-order hyperbolic systems with multiple characteristics. Zbl 0284.35044
Petkov, V. M.
3
1973
Notwendige Bedingungen für die Korrektheit des Cauchyproblems für hyperbolische Systeme mit mehrfachen Charakteristiken. Zbl 0249.35053
Petkov, V. M.
1
1972
all top 5

Cited by 333 Authors

43 Petkov, Vesselin M.
31 Stoyanov, Luchezar N.
21 Nishitani, Tatsuo
14 Bernardi, Enrico
13 Zworski, Maciej
10 Bove, Antonio
9 Bony, Jean-François
9 Colombini, Ferruccio
9 Dyatlov, Semyon
9 Vodev, Georgi
9 Zelditch, Steve
8 Dimassi, Mouez
7 Barbagallo, Annamaria
7 Esposito, Vincenzo
7 Sjöstrand, Johannes
6 Bachelot, Alain
6 Bruneau, Vincent
6 Christiansen, Tanya J.
6 Kaloshin, Vadim Yu.
6 Popov, Georgi St.
6 Stefanov, Plamen D.
5 Datchev, Kiril R.
5 Galkowski, Jeffrey
5 Hezari, Hamid
5 Kucherenko, Valeri V.
5 Noakes, Lyle
5 Rauch, Jeffrey B.
5 Robert, Didier
4 Camus, Brice
4 de Simoi, Jacopo
4 Fujiié, Setsuro
4 Guillarmou, Colin
4 Ivrii, Victor Ja.
4 Kryvko, Andriy
4 Mandai, Takeshi
4 Melrose, Richard Burt
4 Métivier, Guy
4 Raikov, Georgi D.
4 Taglialatela, Giovanni
4 Uhlmann, Gunther Alberto
4 Wunsch, Jared
3 Cakoni, Fioralba
3 Fanelli, Francesco
3 Gell-Redman, Jesse
3 Georgiev, Vladimir S.
3 Hassell, Andrew
3 Helffer, Bernard
3 Hirosawa, Fumihiko
3 Hu, Xiaozhe
3 Jin, Long
3 Kajitani, Kunihiko
3 Kawamoto, Masaki
3 Kiran, N. Uday
3 Leguil, Martin
3 Michel, Laurent
3 Nonnenmacher, Stéphane
3 Pattar, Rahul Raju
3 Ramond, Thierry
3 Reissig, Michael
3 Sá Barreto, Antônio
3 Spence, Euan A.
3 Vasy, András
3 Wakabayashi, Seiichiro
2 Adler, James H.
2 Alsheekhhussain, Zainab
2 Bessa, Mário
2 Borichev, Aleksandr Aleksandrovich
2 Bourgain, Jean
2 Cardoso, Fernando
2 Charbonnel, Anne-Marie
2 Duong, Anh Tuan
2 Gannot, Oran
2 Garetto, Claudia
2 Gramchev, Todor V.
2 Haddar, Houssem
2 Hörmander, Lars
2 Ingremeau, Maxime
2 Kameoka, Kentaro
2 Khochman, Abdallah
2 Lascar, Bernard
2 Lascar, Richard
2 Lassas, Matti J.
2 Lopes Dias, João
2 Lu, Zhiqin
2 Marchand, Pierre
2 Martinez, André
2 Meng, Shixu
2 Nguyen, Hoai-Minh
2 Orrù, Nicola
2 Parmeggiani, Alberto
2 Perla Menzala, Gustavo Alberto
2 Ramm, Alexander G.
2 Rowlett, Julie
2 Ruzhansky, Michael V.
2 Sarkar, Pratyush
2 Sharp, Richard W.
2 Soga, Hideo
2 Spagnolo, Sergio
2 Strohmaier, Alexander
2 Tabachnikov, Serge L.
...and 233 more Authors
all top 5

Cited in 106 Serials

28 Communications in Partial Differential Equations
25 Communications in Mathematical Physics
23 Journal of Functional Analysis
15 Journal of Mathematical Analysis and Applications
15 Publications of the Research Institute for Mathematical Sciences, Kyoto University
11 Proceedings of the Japan Academy. Series A
11 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Annales Henri Poincaré
9 Journal d’Analyse Mathématique
9 Annales de l’Institut Fourier
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Journal of Mathematical Physics
7 Duke Mathematical Journal
7 Mathematische Annalen
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Journal of Spectral Theory
6 Advances in Mathematics
6 Archiv der Mathematik
6 Mathematische Zeitschrift
6 Asymptotic Analysis
6 Annals of Mathematics. Second Series
5 Israel Journal of Mathematics
5 Reviews in Mathematical Physics
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Journal of Differential Equations
4 Proceedings of the American Mathematical Society
4 Siberian Mathematical Journal
4 Transactions of the American Mathematical Society
4 Ergodic Theory and Dynamical Systems
4 Geometric and Functional Analysis. GAFA
4 SIAM Journal on Mathematical Analysis
4 SIAM Journal on Scientific Computing
4 Bulletin des Sciences Mathématiques
4 Journal of Hyperbolic Differential Equations
4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
4 Journal of Modern Dynamics
4 Inverse Problems and Imaging
4 Kyoto Journal of Mathematics
3 Reports on Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Mathematische Nachrichten
3 Osaka Journal of Mathematics
3 Russian Journal of Mathematical Physics
3 Discrete and Continuous Dynamical Systems
3 Analysis & PDE
3 Pure and Applied Analysis
2 Communications on Pure and Applied Mathematics
2 Nonlinearity
2 Acta Mathematica
2 Functional Analysis and its Applications
2 Inventiones Mathematicae
2 Journal of the Mathematical Society of Japan
2 Memoirs of the American Mathematical Society
2 Rendiconti del Seminario Matematico della Università di Padova
2 Ricerche di Matematica
2 Regular and Chaotic Dynamics
2 Dynamical Systems
2 Journal of Pseudo-Differential Operators and Applications
2 Research in the Mathematical Sciences
1 International Journal of Engineering Science
1 Inverse Problems
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Beiträge zur Algebra und Geometrie
1 Compositio Mathematica
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Mathematica Slovaca
1 Numerische Mathematik
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of the American Mathematical Society
1 Sugaku Expositions
1 The Journal of Geometric Analysis
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Acta Mathematica Sinica. New Series
1 Annales Mathématiques Blaise Pascal
1 Advances in Computational Mathematics
1 Opuscula Mathematica
1 The Journal of Fourier Analysis and Applications
1 Doklady Mathematics
1 Chaos
1 Communications in Contemporary Mathematics
1 Lobachevskii Journal of Mathematics
1 Journal of Evolution Equations
1 Boundary Value Problems
1 Waves in Random and Complex Media
1 Proceedings of the Japan Academy
1 Communications in Mathematical Analysis
1 Journal of Fixed Point Theory and Applications
1 Analysis and Mathematical Physics
1 Bulletin of Mathematical Sciences
1 Annales Mathématiques du Québec
...and 6 more Serials
all top 5

Cited in 39 Fields

307 Partial differential equations (35-XX)
80 Operator theory (47-XX)
80 Quantum theory (81-XX)
70 Dynamical systems and ergodic theory (37-XX)
66 Global analysis, analysis on manifolds (58-XX)
25 Differential geometry (53-XX)
19 Optics, electromagnetic theory (78-XX)
12 Numerical analysis (65-XX)
8 Measure and integration (28-XX)
7 Relativity and gravitational theory (83-XX)
6 Probability theory and stochastic processes (60-XX)
6 Fluid mechanics (76-XX)
5 Number theory (11-XX)
5 Topological groups, Lie groups (22-XX)
5 Functions of a complex variable (30-XX)
5 Ordinary differential equations (34-XX)
5 Mechanics of deformable solids (74-XX)
4 Functional analysis (46-XX)
4 Convex and discrete geometry (52-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
2 Integral transforms, operational calculus (44-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year