Edit Profile (opens in new tab) Petkov, Vesselin M. Compute Distance To: Compute Author ID: 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 more...less Further Spellings: Петков В М Homepage: https://www.math.u-bordeaux.fr/~vpetkov/ External Links: MGP · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 145 Publications since 1971, including 4 Books 2 Contributions as Editor Biographic References: 2 Publications Co-Authors: 30 Co-Authors with 85 Joint Publications 766 Co-Co-Authors all top 5 Co-Authors 62 single-authored 26 Stoyanov, Luchezar N. 6 Dimassi, Mouez 6 Popov, Georgi St. 5 Bruneau, Vincent 5 Colombini, Ferruccio 4 Bony, Jean-François 4 Rauch, Jeffrey B. 4 Zworski, Maciej 3 Bachelot, Alain 3 Vodev, Georgi 2 Bernardi, Enrico 2 Bove, Antonio 2 Cardoso, Fernando 2 Georgiev, Vladimir S. 2 Lazarov, Raytcho D. 2 Nishitani, Tatsuo 2 Pham the Lai 2 Rangelov, Tsviatko V. 2 Robert, Didier 2 Tzvetkov, Nikolay 1 Adler, James H. 1 Borichev, Aleksandr Aleksandrovich 1 Esterle, Jean 1 Ivrii, Victor Ja. 1 Kawamoto, Masaki 1 Kutev, Nikolai D. 1 Sebbar, Ahmed 1 Vogel, Pierre 1 Yger, Alain 1 Zikatanov, Ludmil T. all top 5 Serials 9 Comptes Rendus de l’Académie des Sciences. Série I 5 Serdica 5 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Communications in Mathematical Physics 4 Asymptotic Analysis 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 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 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 all top 5 Fields 128 Partial differential equations (35-XX) 31 Operator theory (47-XX) 26 Global analysis, analysis on manifolds (58-XX) 16 Quantum theory (81-XX) 13 Dynamical systems and ergodic theory (37-XX) 6 Optics, electromagnetic theory (78-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 560 times in 367 Documents Cited by ▼ Year ▼ Necessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed. Zbl 0312.35049Ivrii, V. Ja.; Petkov, V. M. 86 1974 Geometry of reflecting rays and inverse spectral problems. Zbl 0761.35077Petkov, Vesselin M.; Stoyanov, Luchezar N. 34 1992 Semi-classical estimates on the scattering determinant. Zbl 1041.81041Petkov, Vesselin; Zworski, Maciej 30 2001 Scattering theory for hyperbolic operators. Zbl 0687.35067Petkov, Vesselin 26 1989 Asymptotique semi-classique du spectre d’hamiltoniens quantiques et trajectoires classiques périodiques. Zbl 0574.35067Petkov, Vesslin; Robert, Didier 22 1985 Asymptotic behavior of the scattering phase for non-trapping obstacles. Zbl 0476.35014Petkov, V.; Popov, G. 18 1982 Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004Petkov, Vesselin; Zworski, Maciej 18 1999 Asymptotics of the number of the interior transmission eigenvalues. Zbl 1458.35291Petkov, Vesselin; Vodev, Georgi 16 2017 Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Zbl 1251.37031Petkov, Vesselin; Stoyanov, Luchezar 13 2010 Meromorphic continuation of the spectral shift function. Zbl 1033.35081Bruneau, Vincent; Petkov, Vesselin 12 2003 On the number of periodic reflecting rays in generic domains. Zbl 0668.58005Petkov, Vesselin M.; Stojanov, Luchezar N. 10 1988 Sojourn times of trapping rays and the behavior of the modified resolvent of the Laplacian. Zbl 0838.35093Petkov, Vesselin; Stoyanov, Latchezar 10 1995 High frequency asymptotics of the scattering amplitude for non-convex bodies. Zbl 0435.35065Petkov, V. M. 9 1980 Distribution of periods of closed trajectories in exponentially shrinking intervals. Zbl 1263.37055Petkov, Vesselin; Stoyanov, Luchezar 9 2012 Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Zbl 0919.35095Petkov, Vesselin; Popov, Georgi 9 1998 Periods of multiple reflecting geodesics and inverse spectral results. Zbl 0652.35027Petkov, Vesselin; Stoyanov, Luchezar 9 1987 Semiclassical resolvent estimates for trapping perturbations. Zbl 1028.81020Bruneau, Vincent; Petkov, Vesselin 9 2000 Representation of the spectral shift function and spectral asymptotics for trapping perturbations. Zbl 1088.35525Bruneau, Vincent; Petkov, Vesselin 9 2001 Ruelle transfer operators with two complex parameters and applications. Zbl 1366.37055Stoyanov, Luchezar; Petkov, Vesselin 8 2016 Spectrum of the Poincaré map for periodic reflecting rays in generic domains. Zbl 0673.58035Petkov, Vesselin; Stoyanov, Luchezar 8 1987 Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity. Zbl 1331.35210Bernardi, Enrico; Bove, Antonio; Petkov, Vesselin 8 2015 Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 8 2014 Correlations for pairs of periodic trajectories for open billiards. Zbl 1185.37094Petkov, Vesselin; Stoyanov, Luchezar 7 2009 Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. Zbl 1174.81317Dimassi, Mouez; Petkov, Vesselin 7 2003 Geometry of the generalized geodesic flow and inverse spectral problems. 2nd edition. Zbl 1354.35002Petkov, Vesselin M.; Stoyanov, Luchezar N. 6 2017 Spectral shift function for operators with crossed magnetic and electric fields. Zbl 1192.35037Dimassi, Mouez; Petkov, Vesselin 6 2010 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 0657.35102Bachelot, Alain; Petkov, Vesselin 6 1987 Resolvent estimates and local energy decay for hyperbolic equations. Zbl 1142.35059Bony, Jean-François; Petkov, Vesselin 6 2006 Resonances for magnetic Stark Hamiltonians in two-dimensional case. Zbl 1069.35062Dimassi, Mouez; Petkov, Vesselin 6 2004 Sharp large deviations for some hyperbolic systems. Zbl 1351.37114Petkov, Vesselin; Stoyanov, Luchezar 5 2015 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 0611.35067Bachelot, Alain; Petkov, Vesselin 5 1986 Localization of the interior transmission eigenvalues for a ball. Zbl 1359.35117Petkov, Vesselin; Vodev, Georgi 5 2017 Spectral problems for operators with crossed magnetic and electric fields. Zbl 1205.35052Dimassi, Mouez; Petkov, Vesselin 5 2010 Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 4 2016 Location of eigenvalues for the wave equation with dissipative boundary conditions. Zbl 1372.35202Petkov, Vesselin 4 2016 Microlocal forms for hyperbolic systems. Zbl 0433.35045Petkov, Vesseline M. 4 1979 On the Lebesgue measure of the periodic points of a contact manifold. Zbl 0816.58008Petkov, Vesselin; Popov, Georgi 4 1995 Singularities of the scattering kernel and scattering invariants for several strictly convex obstacles. Zbl 0685.35083Petkov, Vesselin M.; Stoyanov, L. N. 4 1989 Numerical approximation of asymptotically disappearing solutions of Maxwell’s equations. Zbl 1285.65075Adler, J. H.; Petkov, V.; Zikatanov, L. T. 4 2013 Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 4 2011 Cauchy problem for effectively hyperbolic operators with triple characteristics. Zbl 1437.35451Nishitani, Tatsuo; Petkov, Vesselin 4 2019 The Cauchy problem for a certain class of non-strictly hyperbolic equations with double characteristics. Zbl 0442.35046Petkov, Veselin M. 3 1975 Representation of the scattering operator for dissipative hyperbolic systems. Zbl 0464.35070Petkov, Vesselin 3 1981 Periodic geodesics of generic nonconvex domains in \(R^ 2\) and the Poisson relation. Zbl 0602.58050Petkov, Vesselin M.; Stoyanov, Luchezar 3 1986 La représentation de l’application de Poincaré correspondant aux rayons périodiques réfléchissants. Zbl 0543.35004Petkov, Vesselin; Vogel, Pierre 3 1983 Singularities of the scattering kernel for generic obstacles. Zbl 0729.35099Cardoso, Fernando; Petkov, Vesselin; Stoyanov, Luchezar 3 1990 Scattering theory for mixed problems in the exterior of moving obstacles. Zbl 0732.35065Petkov, V. M. 3 1987 Resonances for non-trapping time-periodic perturbations. Zbl 1137.35399Bony, Jean-François; Petkov, Vesselin 3 2004 On the Cauchy problem for first-order hyperbolic systems with multiple characteristics. Zbl 0284.35044Petkov, V. M. 3 1973 Le problème de Cauchy et la propagation des singularites pour une classe des systèmes hyperboliques non symetrisables. Zbl 0309.35048Petkov, V. M. 3 1975 Singularities of the scattering kernel related to trapping rays. Zbl 1197.35183Petkov, Vesselin; Stoyanov, Luchezar 3 2009 Semiclassical estimates of the cut-off resolvent for trapping perturbations. Zbl 1290.47013Bony, Jean-François; Petkov, Vesselin 3 2013 Scattering problems for symmetric systems with dissipative boundary conditions. Zbl 1273.35202Petkov, Vesselin 2 2013 Sur la condition de Levi pour des systèmes hyperboliques à caractéristiques de multiplicité variable. Zbl 0432.35054Petkov, Vesselin M. 2 1977 The parametrix of the Cauchy problem for nonsymmetrizable hyperbolic systems with characteristics of constant multiplicity. Zbl 0453.35054Petkov, V. M. 2 1980 Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes. Zbl 0497.35070Petkov, V. 2 1981 Inverse scattering problem for transparent obstacles. Zbl 0504.35073Petkov, Vesselin 2 1982 Théorème de type RAGE pour des opérateurs à puissances bornées. (RAGE type theorem for power bounded operators). Zbl 0603.47001Georgiev, Vladimir; Petkov, Vesselin 2 1986 Exponential growth for the wave equation with compact time-periodic positive potential. Zbl 1171.35422Colombini, Ferruccio; Rauch, Jeffrey; Petkov, Vesselin 2 2009 Erratum: “Breit-Wigner approximation and the distribution of resonances”. Zbl 1046.81551Petkov, Vesselin; Zworski, Maciej 2 2000 Lower bounds on the number of scattering poles for several strictly convex obstacles. Zbl 1290.35172Petkov, Vesselin 2 2002 Eigenvalues of the reference operator and semiclassical resonances. Zbl 1025.35013Bruneau, Vincent; Petkov, Vesselin 2 2003 Spectral estimates for Ruelle operators with two parameters and sharp large deviations. Zbl 1432.37047Petkov, Vesselin; Stoyanov, Luchezar 1 2019 Notwendige Bedingungen für die Korrektheit des Cauchyproblems für hyperbolische Systeme mit mehrfachen Charakteristiken. Zbl 0249.35053Petkov, V. M. 1 1972 Asymptotique de la phase de diffusion pour des domaines non convexes. Zbl 0465.35071Petkov, Vesselin; Popov, Georgi 1 1981 Propagation of singularities and inverse scattering problem for transparent obstacles. Zbl 0487.35055Petkov, Vesselin 1 1982 Propagation des singularites sur le bord pour des systèmes hyperboliques à caractéristiques de multiplicité constante. Zbl 0487.35059Petkov, Vesselin 1 1981 Singularities of the scattering kernel for non convex obstacles. Zbl 0639.35065Petkov, Vesselin M.; Stoyanov, Luchezar N. 1 1987 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 0850.35069Petkov, V. M. 1 1992 RAGE theorem for power bounded operators and decay of local energy for moving obstacles. Zbl 0705.35094Petkov, Vesselin M.; Georgiev, Vladimir S. 1 1989 Singularities of the scattering kernel for a class of star-shaped non- convex obstacles. Zbl 0705.35095Petkov, V.; Stoyanov, L. 1 1989 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 0707.35092Petkov, V. M. 1 1990 Comportement asymptotique de la fonction spectrale de l’opérateur de Laplace-Beltrami sur une variété ayant des singularités coniques. Zbl 0543.35079Pham The Lai; Petkov, Vesselin 1 1983 Leading singularity of the scattering kernel for moving obstacles with dissipative boundary conditions. Zbl 0737.35050Cardoso, Fernando; Petkov, Vesselin 1 1990 Singularities of the scattering kernel for non-convex obstacles. Zbl 0749.35031Petkov, V. M. 1 1991 Diffusion phase for some restricted perturbations. (Phase de diffusion pour des perturbations captives.) Zbl 0718.35007Petkov, Vesselin M. 1 1990 Leading singularity of the scattering kernel for moving obstacles. Zbl 0729.35100Petkov, Vesselin; Rangelov, Tsviatko 1 1990 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 0858.35095Petkov, Vesselin; Popov, Georgi 1 1996 Upper bounds on the number of scattering poles and the Lax-Phillips conjecture. Zbl 0801.35099Petkov, Vesselin; Vodev, Georgi 1 1993 Leading singularity of the scattering kernel for moving obstacles. Zbl 0657.35106Petkov, V. M.; Rangelov, Ts. V. 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 0673.35062Bachelot, A.; Petkov, V. 1 1988 Les problèmes inverses de diffusion pour les perturbations dépendant du temps. (Inverse diffusion problems for time dependent perturbations). Zbl 0682.35103Petkov, V. 1 1988 Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Zbl 1125.37013Petkov, Vesselin; Stoyanov, Latchezar 1 2007 Weyl formula for the negative dissipative eigenvalues of Maxwell’s equations. Zbl 1393.35135Colombini, Ferruccio; Petkov, Vesselin 1 2018 Weyl asymptotic of the scattering phase for metric perturbations. Zbl 0856.35097Petkov, Vesselin 1 1995 Singularities of the scattering kernel for trapping obstacles. Zbl 0887.35114Petkov, Vesselin; Stoyanov, Latchezar 1 1996 La distribution des poles de la matrice de diffusion. Zbl 0537.35061Petkov, V. M. 1 1983 Sharp large deviations for some hyperbolic flows. Zbl 1257.37021Petkov, Vesselin; Stoyanov, Luchezar 1 2012 Sojourn times, singularities of the scattering kernel and inverse problems. Zbl 1086.35146Petkov, Vesselin; Stoyanov, Luchezar 1 2003 Sur les systemes regulierement hyperboliques du premier ordre. Zbl 0353.35061Petkov, Veselin M.; Kutev, Nikolai D. 1 1976 Une paramètrix du problème de Cauchy pour des systèmes hyperboliques à caractéristiques de multiplicité constante. Zbl 0355.35054Petkov, V. M. 1 1976 Ruelle operators with two complex parameters and applications. (Opérateurs de Ruelle avec deux paramètres complexes et applications.) Zbl 1358.37053Petkov, Vesselin; Stoyanov, Luchezar 1 2015 Cauchy problem for effectively hyperbolic operators with triple characteristics. Zbl 1437.35451Nishitani, Tatsuo; Petkov, Vesselin 4 2019 Spectral estimates for Ruelle operators with two parameters and sharp large deviations. Zbl 1432.37047Petkov, Vesselin; Stoyanov, Luchezar 1 2019 Weyl formula for the negative dissipative eigenvalues of Maxwell’s equations. Zbl 1393.35135Colombini, Ferruccio; Petkov, Vesselin 1 2018 Asymptotics of the number of the interior transmission eigenvalues. Zbl 1458.35291Petkov, Vesselin; Vodev, Georgi 16 2017 Geometry of the generalized geodesic flow and inverse spectral problems. 2nd edition. Zbl 1354.35002Petkov, Vesselin M.; Stoyanov, Luchezar N. 6 2017 Localization of the interior transmission eigenvalues for a ball. Zbl 1359.35117Petkov, Vesselin; Vodev, Georgi 5 2017 Ruelle transfer operators with two complex parameters and applications. Zbl 1366.37055Stoyanov, Luchezar; Petkov, Vesselin 8 2016 Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 4 2016 Location of eigenvalues for the wave equation with dissipative boundary conditions. Zbl 1372.35202Petkov, Vesselin 4 2016 Cauchy problem for effectively hyperbolic operators with triple characteristics of variable multiplicity. Zbl 1331.35210Bernardi, Enrico; Bove, Antonio; Petkov, Vesselin 8 2015 Sharp large deviations for some hyperbolic systems. Zbl 1351.37114Petkov, Vesselin; Stoyanov, Luchezar 5 2015 Ruelle operators with two complex parameters and applications. (Opérateurs de Ruelle avec deux paramètres complexes et applications.) Zbl 1358.37053Petkov, Vesselin; Stoyanov, Luchezar 1 2015 Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 8 2014 Numerical approximation of asymptotically disappearing solutions of Maxwell’s equations. Zbl 1285.65075Adler, J. H.; Petkov, V.; Zikatanov, L. T. 4 2013 Semiclassical estimates of the cut-off resolvent for trapping perturbations. Zbl 1290.47013Bony, Jean-François; Petkov, Vesselin 3 2013 Scattering problems for symmetric systems with dissipative boundary conditions. Zbl 1273.35202Petkov, Vesselin 2 2013 Distribution of periods of closed trajectories in exponentially shrinking intervals. Zbl 1263.37055Petkov, Vesselin; Stoyanov, Luchezar 9 2012 Sharp large deviations for some hyperbolic flows. Zbl 1257.37021Petkov, Vesselin; Stoyanov, Luchezar 1 2012 Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey 4 2011 Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Zbl 1251.37031Petkov, Vesselin; Stoyanov, Luchezar 13 2010 Spectral shift function for operators with crossed magnetic and electric fields. Zbl 1192.35037Dimassi, Mouez; Petkov, Vesselin 6 2010 Spectral problems for operators with crossed magnetic and electric fields. Zbl 1205.35052Dimassi, Mouez; Petkov, Vesselin 5 2010 Correlations for pairs of periodic trajectories for open billiards. Zbl 1185.37094Petkov, Vesselin; Stoyanov, Luchezar 7 2009 Singularities of the scattering kernel related to trapping rays. Zbl 1197.35183Petkov, Vesselin; Stoyanov, Luchezar 3 2009 Exponential growth for the wave equation with compact time-periodic positive potential. Zbl 1171.35422Colombini, Ferruccio; Rauch, Jeffrey; Petkov, Vesselin 2 2009 Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Zbl 1125.37013Petkov, Vesselin; Stoyanov, Latchezar 1 2007 Resolvent estimates and local energy decay for hyperbolic equations. Zbl 1142.35059Bony, Jean-François; Petkov, Vesselin 6 2006 Resonances for magnetic Stark Hamiltonians in two-dimensional case. Zbl 1069.35062Dimassi, Mouez; Petkov, Vesselin 6 2004 Resonances for non-trapping time-periodic perturbations. Zbl 1137.35399Bony, Jean-François; Petkov, Vesselin 3 2004 Meromorphic continuation of the spectral shift function. Zbl 1033.35081Bruneau, Vincent; Petkov, Vesselin 12 2003 Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. Zbl 1174.81317Dimassi, Mouez; Petkov, Vesselin 7 2003 Eigenvalues of the reference operator and semiclassical resonances. Zbl 1025.35013Bruneau, Vincent; Petkov, Vesselin 2 2003 Sojourn times, singularities of the scattering kernel and inverse problems. Zbl 1086.35146Petkov, Vesselin; Stoyanov, Luchezar 1 2003 Lower bounds on the number of scattering poles for several strictly convex obstacles. Zbl 1290.35172Petkov, Vesselin 2 2002 Semi-classical estimates on the scattering determinant. Zbl 1041.81041Petkov, Vesselin; Zworski, Maciej 30 2001 Representation of the spectral shift function and spectral asymptotics for trapping perturbations. Zbl 1088.35525Bruneau, Vincent; Petkov, Vesselin 9 2001 Semiclassical resolvent estimates for trapping perturbations. Zbl 1028.81020Bruneau, Vincent; Petkov, Vesselin 9 2000 Erratum: “Breit-Wigner approximation and the distribution of resonances”. Zbl 1046.81551Petkov, Vesselin; Zworski, Maciej 2 2000 Breit-Wigner approximation and the distribution of resonances. Zbl 0936.47004Petkov, Vesselin; Zworski, Maciej 18 1999 Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Zbl 0919.35095Petkov, Vesselin; Popov, Georgi 9 1998 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 0858.35095Petkov, Vesselin; Popov, Georgi 1 1996 Singularities of the scattering kernel for trapping obstacles. Zbl 0887.35114Petkov, Vesselin; Stoyanov, Latchezar 1 1996 Sojourn times of trapping rays and the behavior of the modified resolvent of the Laplacian. Zbl 0838.35093Petkov, Vesselin; Stoyanov, Latchezar 10 1995 On the Lebesgue measure of the periodic points of a contact manifold. Zbl 0816.58008Petkov, Vesselin; Popov, Georgi 4 1995 Weyl asymptotic of the scattering phase for metric perturbations. Zbl 0856.35097Petkov, Vesselin 1 1995 Upper bounds on the number of scattering poles and the Lax-Phillips conjecture. Zbl 0801.35099Petkov, Vesselin; Vodev, Georgi 1 1993 Geometry of reflecting rays and inverse spectral problems. Zbl 0761.35077Petkov, Vesselin M.; Stoyanov, Luchezar N. 34 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 0850.35069Petkov, V. M. 1 1992 Singularities of the scattering kernel for non-convex obstacles. Zbl 0749.35031Petkov, V. M. 1 1991 Singularities of the scattering kernel for generic obstacles. Zbl 0729.35099Cardoso, Fernando; Petkov, Vesselin; Stoyanov, Luchezar 3 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 0707.35092Petkov, V. M. 1 1990 Leading singularity of the scattering kernel for moving obstacles with dissipative boundary conditions. Zbl 0737.35050Cardoso, Fernando; Petkov, Vesselin 1 1990 Diffusion phase for some restricted perturbations. (Phase de diffusion pour des perturbations captives.) Zbl 0718.35007Petkov, Vesselin M. 1 1990 Leading singularity of the scattering kernel for moving obstacles. Zbl 0729.35100Petkov, Vesselin; Rangelov, Tsviatko 1 1990 Scattering theory for hyperbolic operators. Zbl 0687.35067Petkov, Vesselin 26 1989 Singularities of the scattering kernel and scattering invariants for several strictly convex obstacles. Zbl 0685.35083Petkov, Vesselin M.; Stoyanov, L. N. 4 1989 RAGE theorem for power bounded operators and decay of local energy for moving obstacles. Zbl 0705.35094Petkov, Vesselin M.; Georgiev, Vladimir S. 1 1989 Singularities of the scattering kernel for a class of star-shaped non- convex obstacles. Zbl 0705.35095Petkov, V.; Stoyanov, L. 1 1989 On the number of periodic reflecting rays in generic domains. Zbl 0668.58005Petkov, Vesselin M.; Stojanov, Luchezar N. 10 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 0673.35062Bachelot, A.; Petkov, V. 1 1988 Les problèmes inverses de diffusion pour les perturbations dépendant du temps. (Inverse diffusion problems for time dependent perturbations). Zbl 0682.35103Petkov, V. 1 1988 Periods of multiple reflecting geodesics and inverse spectral results. Zbl 0652.35027Petkov, Vesselin; Stoyanov, Luchezar 9 1987 Spectrum of the Poincaré map for periodic reflecting rays in generic domains. Zbl 0673.58035Petkov, Vesselin; Stoyanov, Luchezar 8 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 0657.35102Bachelot, Alain; Petkov, Vesselin 6 1987 Scattering theory for mixed problems in the exterior of moving obstacles. Zbl 0732.35065Petkov, V. M. 3 1987 Singularities of the scattering kernel for non convex obstacles. Zbl 0639.35065Petkov, Vesselin M.; Stoyanov, Luchezar N. 1 1987 Leading singularity of the scattering kernel for moving obstacles. Zbl 0657.35106Petkov, V. M.; Rangelov, Ts. V. 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 0611.35067Bachelot, Alain; Petkov, Vesselin 5 1986 Periodic geodesics of generic nonconvex domains in \(R^ 2\) and the Poisson relation. Zbl 0602.58050Petkov, Vesselin M.; Stoyanov, Luchezar 3 1986 Théorème de type RAGE pour des opérateurs à puissances bornées. (RAGE type theorem for power bounded operators). Zbl 0603.47001Georgiev, Vladimir; Petkov, Vesselin 2 1986 Asymptotique semi-classique du spectre d’hamiltoniens quantiques et trajectoires classiques périodiques. Zbl 0574.35067Petkov, Vesslin; Robert, Didier 22 1985 La représentation de l’application de Poincaré correspondant aux rayons périodiques réfléchissants. Zbl 0543.35004Petkov, Vesselin; Vogel, Pierre 3 1983 Comportement asymptotique de la fonction spectrale de l’opérateur de Laplace-Beltrami sur une variété ayant des singularités coniques. Zbl 0543.35079Pham The Lai; Petkov, Vesselin 1 1983 La distribution des poles de la matrice de diffusion. Zbl 0537.35061Petkov, V. M. 1 1983 Asymptotic behavior of the scattering phase for non-trapping obstacles. Zbl 0476.35014Petkov, V.; Popov, G. 18 1982 Inverse scattering problem for transparent obstacles. Zbl 0504.35073Petkov, Vesselin 2 1982 Propagation of singularities and inverse scattering problem for transparent obstacles. Zbl 0487.35055Petkov, Vesselin 1 1982 Representation of the scattering operator for dissipative hyperbolic systems. Zbl 0464.35070Petkov, Vesselin 3 1981 Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes. Zbl 0497.35070Petkov, V. 2 1981 Asymptotique de la phase de diffusion pour des domaines non convexes. Zbl 0465.35071Petkov, Vesselin; Popov, Georgi 1 1981 Propagation des singularites sur le bord pour des systèmes hyperboliques à caractéristiques de multiplicité constante. Zbl 0487.35059Petkov, Vesselin 1 1981 High frequency asymptotics of the scattering amplitude for non-convex bodies. Zbl 0435.35065Petkov, V. M. 9 1980 The parametrix of the Cauchy problem for nonsymmetrizable hyperbolic systems with characteristics of constant multiplicity. Zbl 0453.35054Petkov, V. M. 2 1980 Microlocal forms for hyperbolic systems. Zbl 0433.35045Petkov, Vesseline M. 4 1979 Sur la condition de Levi pour des systèmes hyperboliques à caractéristiques de multiplicité variable. Zbl 0432.35054Petkov, Vesselin M. 2 1977 Sur les systemes regulierement hyperboliques du premier ordre. Zbl 0353.35061Petkov, Veselin M.; Kutev, Nikolai D. 1 1976 Une paramètrix du problème de Cauchy pour des systèmes hyperboliques à caractéristiques de multiplicité constante. Zbl 0355.35054Petkov, V. M. 1 1976 The Cauchy problem for a certain class of non-strictly hyperbolic equations with double characteristics. Zbl 0442.35046Petkov, Veselin M. 3 1975 Le problème de Cauchy et la propagation des singularites pour une classe des systèmes hyperboliques non symetrisables. Zbl 0309.35048Petkov, V. M. 3 1975 Necessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed. Zbl 0312.35049Ivrii, V. Ja.; Petkov, V. M. 86 1974 On the Cauchy problem for first-order hyperbolic systems with multiple characteristics. Zbl 0284.35044Petkov, V. M. 3 1973 Notwendige Bedingungen für die Korrektheit des Cauchyproblems für hyperbolische Systeme mit mehrfachen Charakteristiken. Zbl 0249.35053Petkov, V. M. 1 1972 all cited Publications top 5 cited Publications all top 5 Cited by 307 Authors 42 Petkov, Vesselin M. 30 Stoyanov, Luchezar N. 18 Nishitani, Tatsuo 13 Bernardi, Enrico 12 Zworski, Maciej 10 Bove, Antonio 9 Bony, Jean-François 8 Colombini, Ferruccio 8 Dimassi, Mouez 8 Dyatlov, Semyon 8 Vodev, Georgi 8 Zelditch, Steve 7 Barbagallo, Annamaria 7 Esposito, Vincenzo 7 Sjöstrand, Johannes 6 Bachelot, Alain 6 Bruneau, Vincent 6 Stefanov, Plamen D. 5 Christiansen, Tanya J. 5 Kucherenko, Valeri V. 5 Noakes, Lyle 5 Popov, Georgi St. 5 Rauch, Jeffrey B. 5 Robert, Didier 4 Camus, Brice 4 Datchev, Kiril R. 4 Fujiié, Setsuro 4 Guillarmou, Colin 4 Hezari, Hamid 4 Kaloshin, Vadim Yu. 4 Kryvko, Andriy 4 Mandai, Takeshi 4 Melrose, Richard Burt 4 Raikov, Georgi D. 4 Uhlmann, Gunther Alberto 3 Cakoni, Fioralba 3 de Simoi, Jacopo 3 Galkowski, Jeffrey 3 Gell-Redman, Jesse 3 Georgiev, Vladimir S. 3 Hassell, Andrew 3 Helffer, Bernard 3 Hirosawa, Fumihiko 3 Hu, Xiaozhe 3 Ivrii, Victor Ja. 3 Jin, Long 3 Kajitani, Kunihiko 3 Kiran, N. Uday 3 Michel, Laurent 3 Nonnenmacher, Stéphane 3 Pattar, Rahul Raju 3 Ramond, Thierry 3 Reissig, Michael 3 Sá Barreto, Antônio 3 Taglialatela, Giovanni 3 Vasy, András 3 Wakabayashi, Seiichiro 3 Wunsch, Jared 2 Adler, James H. 2 Alsheekhhussain, Zainab 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 Haddar, Houssem 2 Hörmander, Lars Valter 2 Kawamoto, Masaki 2 Khochman, Abdallah 2 Lascar, Bernard 2 Lascar, Richard 2 Lassas, Matti J. 2 Leguil, Martin 2 Lu, Zhiqin 2 Martinez, André 2 Meng, Shixu 2 Métivier, Guy 2 Orrù, Nicola 2 Perla Menzala, Gustavo Alberto 2 Ramm, Alexander G. 2 Rowlett, Julie 2 Sarkar, Pratyush 2 Sharp, Richard W. 2 Soga, Hideo 2 Spence, Euan A. 2 Strohmaier, Alexander 2 Tabachnikov, Serge L. 2 Taylor, Michael Eugene 2 Uribe, Alejandro 2 Vaillant, Jean 2 Vaĭnberg, Boris Rufimovich 2 Wang, Jenn-Nan 2 Winter, Dale 2 Yamahara, Hideo 2 Zerzeri, Maher 2 Zikatanov, Ludmil T. 1 Adachi, Tadayoshi 1 Agliardi, Rossella ...and 207 more Authors all top 5 Cited in 101 Serials 28 Communications in Partial Differential Equations 23 Journal of Functional Analysis 22 Communications in Mathematical Physics 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 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Annales de l’Institut Fourier 8 Annales Henri Poincaré 7 Journal d’Analyse Mathématique 7 Journal of Mathematical Physics 7 Duke Mathematical Journal 7 Mathematische Annalen 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Archiv der Mathematik 6 Annals of Mathematics. Second Series 5 Israel Journal of Mathematics 5 Reviews in Mathematical Physics 5 Advances in Mathematics 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Journal of Differential Equations 5 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 Siberian Mathematical Journal 4 Ergodic Theory and Dynamical Systems 4 Geometric and Functional Analysis. GAFA 4 SIAM Journal on Scientific Computing 4 Bulletin des Sciences Mathématiques 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Inverse Problems and Imaging 4 Journal of Spectral Theory 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 Transactions of the American Mathematical Society 3 Asymptotic Analysis 3 SIAM Journal on Mathematical Analysis 3 Russian Journal of Mathematical Physics 3 Discrete and Continuous Dynamical Systems 3 Journal of Modern Dynamics 3 Kyoto Journal of Mathematics 2 Acta Mathematica 2 Functional Analysis and its Applications 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 Journal of Hyperbolic Differential Equations 2 Analysis & PDE 2 Journal of Pseudo-Differential Operators and Applications 2 Research in the Mathematical Sciences 1 Communications on Pure and Applied Mathematics 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 Nonlinearity 1 Reports on Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Slovaca 1 Numerische Mathematik 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 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 Doklady Mathematics 1 Chaos 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Journal of Evolution Equations 1 Dynamical Systems 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 1 Nonlinear Analysis. Theory, Methods & Applications 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Séminaire Laurent Schwartz. EDP et Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bollettino dell’Unione Matematica Italiana ...and 1 more Serials all top 5 Cited in 34 Fields 280 Partial differential equations (35-XX) 77 Quantum theory (81-XX) 72 Operator theory (47-XX) 62 Global analysis, analysis on manifolds (58-XX) 59 Dynamical systems and ergodic theory (37-XX) 23 Differential geometry (53-XX) 15 Optics, electromagnetic theory (78-XX) 11 Numerical analysis (65-XX) 7 Measure and integration (28-XX) 6 Fluid mechanics (76-XX) 6 Relativity and gravitational theory (83-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 4 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Group theory and generalizations (20-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 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year