Edit Profile (opens in new tab) Pankrashkin, Konstantin Co-Author Distance Author ID: pankrashkin.konstantin Published as: Pankrashkin, Konstantin; Pankrashkin, K. V.; Pankrashkin, K. more...less Homepage: https://www.math.u-psud.fr/~pankrashkin/ External Links: MGP Documents Indexed: 72 Publications since 1999 3 Contributions as Editor Co-Authors: 44 Co-Authors with 55 Joint Publications 1,284 Co-Co-Authors all top 5 Co-Authors 20 single-authored 12 Brüning, Jochen 9 Geyler, Vladimir A. 7 Dobrokhotov, Sergei Yurievich 6 Ourmiéres-Bonafos, Thomas 3 Borisov, Denis Ivanovich 3 Exner, Pavel 3 Kovařík, Hynek 3 Popoff, Nicolas 3 Richard, Serge 3 Semenov, E. S. 2 Albeverio, Sergio A. 2 Behrndt, Jussi 2 Helffer, Bernard 2 Holzmann, Markus 2 Kerner, Joachim 2 Khalile, Magda 2 Klopp, Frédéric 2 Vogel, Marco 1 Bonnaillie-Noël, Virginie 1 Boscain, Ugo 1 Bruneau, Vincent 1 Cacciapuoti, Claudio 1 Dittrich, Jaroslav 1 Flamencourt, Brice 1 Goriunov, Andrii 1 Junike, Gero 1 Kellendonk, Johannes 1 Koshmanenko, Volodymyr Dmytrovych 1 Kostenko, Aleksey S. 1 Krejčiřík, David 1 Kühn, Christian 1 Lenz, Daniel H. 1 Lotoreichik, Vladimir 1 Moroianu, Andrei 1 Mykhaĭlets’, Volodymyr Andriĭovych 1 Pavlov, Boris Sergeevich 1 Pizzichillo, Fabio 1 Popov, Igor’ Yur’evich 1 Posilicano, Andrea 1 Post, Olaf 1 Roganova, Svetlana 1 Šovíček, P. 1 Tušek, Matěj 1 Yeganefar, Nader all top 5 Serials 6 Journal of Physics A: Mathematical and Theoretical 5 Russian Journal of Mathematical Physics 4 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Mathematical Notes 3 Reviews in Mathematical Physics 3 Journal of Physics A: Mathematical and General 3 Oberwolfach Reports 2 Communications in Mathematical Physics 2 Archiv der Mathematik 2 Integral Equations and Operator Theory 2 Journal of Functional Analysis 2 Asymptotic Analysis 2 Calculus of Variations and Partial Differential Equations 2 Journal of Spectral Theory 1 Applicable Analysis 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Reports on Mathematical Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Theoretical and Mathematical Physics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Functional Analysis and its Applications 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Doklady Akademii Nauk 1 Electronic Journal of Differential Equations (EJDE) 1 Doklady Mathematics 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Mathematical Modelling of Natural Phenomena 1 Nanosystems. Physics, Chemistry, Mathematics all top 5 Fields 49 Partial differential equations (35-XX) 37 Quantum theory (81-XX) 30 Operator theory (47-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 Ordinary differential equations (34-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 692 times in 408 Documents Cited by ▼ Year ▼ Spectra of self-adjoint extensions and applications to solvable Schrödinger operators. Zbl 1163.81007Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 91 2008 Spectra of Schrödinger operators on equilateral quantum graphs. Zbl 1113.81056Pankrashkin, Konstantin 46 2006 Mean curvature bounds and eigenvalues of Robin Laplacians. Zbl 1327.35273Pankrashkin, Konstantin; Popoff, Nicolas 32 2015 An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter. Zbl 1345.35068Pankrashkin, Konstantin; Popoff, Nicolas 25 2016 Cantor and band spectra for periodic quantum graphs with magnetic fields. Zbl 1113.81053Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 19 2007 Spectral and scattering theory for the Aharonov-Bohm operators. Zbl 1230.81054Pankrashkin, Konstantin; Richard, Serge 19 2011 Resolvents of self-adjoint extensions with mixed boundary conditions. Zbl 1143.47017Pankrashkin, Konstantin 18 2006 Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones. Zbl 1269.81050Borisov, Denis; Pankrashkin, Konstantin 18 2013 Eigenvalues of Robin Laplacians in infinite sectors. Zbl 1392.35095Khalile, Magda; Pankrashkin, Konstantin 18 2018 A remark on Krein’s resolvent formula and boundary conditions. Zbl 1071.47003Albeverio, Sergio; Pankrashkin, Konstantin 17 2005 Dirac operators with Lorentz scalar shell interactions. Zbl 1393.35194Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 17 2018 Gap opening and split band edges in waveguides coupled by a periodic system of small windows. Zbl 1288.81046Borisov, D. I.; Pankrashkin, K. V. 17 2013 On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domains. Zbl 1386.35302Pankrashkin, Konstantin 17 2013 Eigenvalue inequalities and absence of threshold resonances for waveguide junctions. Zbl 1372.35199Pankrashkin, Konstantin 16 2017 Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures. Zbl 1260.47010Pankrashkin, Konstantin 15 2012 Two-dimensional Dirac operators with singular interactions supported on closed curves. Zbl 1446.35155Behrndt, Jussi; Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 15 2020 Tunneling between corners for Robin Laplacians. Zbl 1319.35129Helffer, Bernard; Pankrashkin, Konstantin 15 2015 Continuity properties of integral kernels associated with Schrödinger operators on manifolds. Zbl 1131.81009Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 14 2007 On the discrete spectrum of Robin Laplacians in conical domains. Zbl 1390.35208Pankrashkin, Konstantin 14 2016 An inequality for the maximum curvature through a geometric flow. Zbl 1325.53008Pankrashkin, Konstantin 13 2015 Strong coupling asymptotics for a singular Schrödinger operator with an interaction supported by an open arc. Zbl 1291.35247Exner, Pavel; Pankrashkin, Konstantin 13 2014 The spectral asymptotics of the two-dimensional Schrödinger operator with a strong magnetic field. I. Zbl 1104.81046Brüning, J.; Dobrokhotov, S. Yu.; Pankrashkin, K. V. 12 2002 On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems. Zbl 1375.49063Kovařík, Hynek; Pankrashkin, Konstantin 12 2017 Discrete spectrum of interactions concentrated near conical surfaces. Zbl 1398.35024Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 12 2018 One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. Zbl 1298.81080Pankrashkin, Konstantin; Richard, Serge 12 2014 An example of unitary equivalence between self-adjoint extensions and their parameters. Zbl 1300.47029Pankrashkin, Konstantin 11 2013 Formally self-adjoint quasi-differential operators and boundary-value problems. Zbl 1293.47043Goriunov, Andrii; Mikhailets, Vladimir; Pankrashkin, Konstantin 11 2013 Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction. Zbl 1112.82032Pankrashkin, Konstantin 10 2006 Localization on quantum graphs with random vertex couplings. Zbl 1144.82061Klopp, Frédéric; Pankrashkin, Konstantin 9 2008 On-diagonal singularities of the Green functions for Schrödinger operators. Zbl 1111.81055Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 9 2005 Dirac operators on hypersurfaces as large mass limits. Zbl 1445.35273Moroianu, Andrei; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 8 2020 Eigenvalue counting function for Robin Laplacians on conical domains. Zbl 1390.35199Bruneau, Vincent; Pankrashkin, Konstantin; Popoff, Nicolas 8 2018 On the spectrum of a waveguide with periodic cracks. Zbl 1204.81069Pankrashkin, Konstantin 7 2010 Explicit Green functions for spin-orbit Hamiltonians. Zbl 1120.81073Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 7 2007 On eigenvalue asymptotics for strong \(\delta\)-interactions supported by surfaces with boundaries. Zbl 1398.35138Dittrich, Jaroslav; Exner, Pavel; Kühn, Christian; Pankrashkin, Konstantin 7 2016 Levinson’s theorem and higher degree traces for Aharonov-Bohm operators. Zbl 1317.81106Kellendonk, Johannes; Pankrashkin, Konstantin; Richard, Serge 7 2011 The spectral asymptotics of the two-dimensional Schrödinger operator with a strong magnetic field. II. Zbl 1104.81307Brüning, J.; Dobrokhotov, S. Yu.; Pankrashkin, K. V. 6 2002 Variational principle for Hamiltonians with degenerate bottom. Zbl 1156.81386Pankrashkin, Konstantin 5 2008 On the number of bound states for weak perturbations of spin-orbit Hamiltonians. Zbl 1108.81051Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 5 2007 Localization on quantum graphs with random edge lengths. Zbl 1161.81362Klopp, Frédéric; Pankrashkin, Konstantin 5 2009 Self-adjoint indefinite Laplacians. Zbl 1444.47039Cacciapuoti, Claudio; Pankrashkin, Konstantin; Posilicano, Andrea 5 2019 Effective operators for Robin eigenvalues in domains with corners. (Opérateurs effectifs pour les valeurs propres de Robin dans des domaines à coins.) Zbl 1466.35094Khalile, Magda; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 5 2020 Robin eigenvalues on domains with peaks. Zbl 1432.35151Kovařík, Hynek; Pankrashkin, Konstantin 5 2019 Variational proof of the existence of eigenvalues for star graphs. Zbl 1372.81072Pankrashkin, Konstantin 5 2017 On the extrema of band functions in periodic waveguides. Zbl 1308.34111Borisov, D. I.; Pankrashkin, K. V. 5 2013 New relations between discrete and continuous transition operators on (metric) graphs. Zbl 1338.47004Lenz, Daniel; Pankrashkin, Konstantin 4 2016 On the discrete spectrum of spin-orbit Hamiltonians with singular interactions. Zbl 1176.81046Brüning, J.; Geyler, V.; Pankrashkin, K. 3 2007 Reducible boundary conditions in coupled channels. Zbl 1086.81044Pankrashkin, Konstantin 3 2005 Spectral asymptotics for \(\delta\)-interactions on sharp cones. Zbl 1460.35239Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin; Pizzichillo, Fabio 3 2018 On self-adjoint realizations of sign-indefinite Laplacians. Zbl 1449.35191Pankrashkin, Konstantin 3 2019 Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces. Zbl 1436.81044Egger, Sebastian; Kerner, Joachim; Pankrashkin, Konstantin 2 2020 On fractal structure of the spectrum for periodic point perturbations of the Schrödinger operator with a uniform magnetic field. Zbl 0972.81037Geyler, V. A.; Pankrashkin, K. V. 2 1999 On Maslov’s conjecture on the structure of weak point singularities of the shallow water equations. Zbl 1075.76520Dobrokhotov, S. Yu.; Pankrashkin, K. V.; Semenov, E. S. 2 2001 Precise option pricing by the COS method – how to choose the truncation range. Zbl 1510.91188Junike, Gero; Pankrashkin, Konstantin 2 2022 Bound states of a pair of particles on the half-line with a general interaction potential. Zbl 1469.81021Egger, Sebastian; Kerner, Joachim; Pankrashkin, Konstantin 2 2020 Localization in a quasiperiodic model on quantum graphs. Zbl 1153.81498Pankrashkin, Konstantin 1 2008 Proof of Maslov’s conjecture about the structure of weak point singular solutions of the shallow water equations. Zbl 1082.35513Dobrokhotov, S. Yu.; Pankrashkin, K. V.; Semenov, E. S. 1 2001 Quasiperiodic surface Maryland models on quantum graphs. Zbl 1166.81019Pankrashkin, Konstantin 1 2009 The asymptotic form of the lower Landau bands in a strong magnetic field. Zbl 1039.81023Brüning, J.; Dobrokhotov, S. Yu.; Pankrashkin, K. V. 1 2002 Continuity and asymptotic behavior of integral kernels related to Schrödinger operators on manifolds. Zbl 1085.58021Brüning, J.; Geiler, V. A.; Pankrashkin, K. V. 1 2005 An eigenvalue estimate for a Robin \(p\)-Laplacian in \(C^1\) domains. Zbl 1453.35105Pankrashkin, Konstantin 1 2020 On Maslov’s conjecture on the structure of weak point singularities of the shallow water equations. Zbl 1090.76513Dobrokhotov, S. Yu.; Pankrashkin, K. V.; Semenov, E. S. 1 2001 Mini-workshop: Boundary value problems and spectral geometry. Abstracts from the mini-workshop held January 1–7, 2012. Zbl 1349.00057 1 2012 A remark on the discriminant of Hill’s equation and Herglotz functions. Zbl 1316.34015Pankrashkin, Konstantin 1 2014 Precise option pricing by the COS method – how to choose the truncation range. Zbl 1510.91188Junike, Gero; Pankrashkin, Konstantin 2 2022 Two-dimensional Dirac operators with singular interactions supported on closed curves. Zbl 1446.35155Behrndt, Jussi; Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 15 2020 Dirac operators on hypersurfaces as large mass limits. Zbl 1445.35273Moroianu, Andrei; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 8 2020 Effective operators for Robin eigenvalues in domains with corners. (Opérateurs effectifs pour les valeurs propres de Robin dans des domaines à coins.) Zbl 1466.35094Khalile, Magda; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 5 2020 Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces. Zbl 1436.81044Egger, Sebastian; Kerner, Joachim; Pankrashkin, Konstantin 2 2020 Bound states of a pair of particles on the half-line with a general interaction potential. Zbl 1469.81021Egger, Sebastian; Kerner, Joachim; Pankrashkin, Konstantin 2 2020 An eigenvalue estimate for a Robin \(p\)-Laplacian in \(C^1\) domains. Zbl 1453.35105Pankrashkin, Konstantin 1 2020 Self-adjoint indefinite Laplacians. Zbl 1444.47039Cacciapuoti, Claudio; Pankrashkin, Konstantin; Posilicano, Andrea 5 2019 Robin eigenvalues on domains with peaks. Zbl 1432.35151Kovařík, Hynek; Pankrashkin, Konstantin 5 2019 On self-adjoint realizations of sign-indefinite Laplacians. Zbl 1449.35191Pankrashkin, Konstantin 3 2019 Eigenvalues of Robin Laplacians in infinite sectors. Zbl 1392.35095Khalile, Magda; Pankrashkin, Konstantin 18 2018 Dirac operators with Lorentz scalar shell interactions. Zbl 1393.35194Holzmann, Markus; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 17 2018 Discrete spectrum of interactions concentrated near conical surfaces. Zbl 1398.35024Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin 12 2018 Eigenvalue counting function for Robin Laplacians on conical domains. Zbl 1390.35199Bruneau, Vincent; Pankrashkin, Konstantin; Popoff, Nicolas 8 2018 Spectral asymptotics for \(\delta\)-interactions on sharp cones. Zbl 1460.35239Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin; Pizzichillo, Fabio 3 2018 Eigenvalue inequalities and absence of threshold resonances for waveguide junctions. Zbl 1372.35199Pankrashkin, Konstantin 16 2017 On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems. Zbl 1375.49063Kovařík, Hynek; Pankrashkin, Konstantin 12 2017 Variational proof of the existence of eigenvalues for star graphs. Zbl 1372.81072Pankrashkin, Konstantin 5 2017 An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter. Zbl 1345.35068Pankrashkin, Konstantin; Popoff, Nicolas 25 2016 On the discrete spectrum of Robin Laplacians in conical domains. Zbl 1390.35208Pankrashkin, Konstantin 14 2016 On eigenvalue asymptotics for strong \(\delta\)-interactions supported by surfaces with boundaries. Zbl 1398.35138Dittrich, Jaroslav; Exner, Pavel; Kühn, Christian; Pankrashkin, Konstantin 7 2016 New relations between discrete and continuous transition operators on (metric) graphs. Zbl 1338.47004Lenz, Daniel; Pankrashkin, Konstantin 4 2016 Mean curvature bounds and eigenvalues of Robin Laplacians. Zbl 1327.35273Pankrashkin, Konstantin; Popoff, Nicolas 32 2015 Tunneling between corners for Robin Laplacians. Zbl 1319.35129Helffer, Bernard; Pankrashkin, Konstantin 15 2015 An inequality for the maximum curvature through a geometric flow. Zbl 1325.53008Pankrashkin, Konstantin 13 2015 Strong coupling asymptotics for a singular Schrödinger operator with an interaction supported by an open arc. Zbl 1291.35247Exner, Pavel; Pankrashkin, Konstantin 13 2014 One-dimensional Dirac operators with zero-range interactions: spectral, scattering, and topological results. Zbl 1298.81080Pankrashkin, Konstantin; Richard, Serge 12 2014 A remark on the discriminant of Hill’s equation and Herglotz functions. Zbl 1316.34015Pankrashkin, Konstantin 1 2014 Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones. Zbl 1269.81050Borisov, Denis; Pankrashkin, Konstantin 18 2013 Gap opening and split band edges in waveguides coupled by a periodic system of small windows. Zbl 1288.81046Borisov, D. I.; Pankrashkin, K. V. 17 2013 On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domains. Zbl 1386.35302Pankrashkin, Konstantin 17 2013 An example of unitary equivalence between self-adjoint extensions and their parameters. Zbl 1300.47029Pankrashkin, Konstantin 11 2013 Formally self-adjoint quasi-differential operators and boundary-value problems. Zbl 1293.47043Goriunov, Andrii; Mikhailets, Vladimir; Pankrashkin, Konstantin 11 2013 On the extrema of band functions in periodic waveguides. Zbl 1308.34111Borisov, D. I.; Pankrashkin, K. V. 5 2013 Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures. Zbl 1260.47010Pankrashkin, Konstantin 15 2012 Mini-workshop: Boundary value problems and spectral geometry. Abstracts from the mini-workshop held January 1–7, 2012. Zbl 1349.00057 1 2012 Spectral and scattering theory for the Aharonov-Bohm operators. Zbl 1230.81054Pankrashkin, Konstantin; Richard, Serge 19 2011 Levinson’s theorem and higher degree traces for Aharonov-Bohm operators. Zbl 1317.81106Kellendonk, Johannes; Pankrashkin, Konstantin; Richard, Serge 7 2011 On the spectrum of a waveguide with periodic cracks. Zbl 1204.81069Pankrashkin, Konstantin 7 2010 Localization on quantum graphs with random edge lengths. Zbl 1161.81362Klopp, Frédéric; Pankrashkin, Konstantin 5 2009 Quasiperiodic surface Maryland models on quantum graphs. Zbl 1166.81019Pankrashkin, Konstantin 1 2009 Spectra of self-adjoint extensions and applications to solvable Schrödinger operators. Zbl 1163.81007Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 91 2008 Localization on quantum graphs with random vertex couplings. Zbl 1144.82061Klopp, Frédéric; Pankrashkin, Konstantin 9 2008 Variational principle for Hamiltonians with degenerate bottom. Zbl 1156.81386Pankrashkin, Konstantin 5 2008 Localization in a quasiperiodic model on quantum graphs. Zbl 1153.81498Pankrashkin, Konstantin 1 2008 Cantor and band spectra for periodic quantum graphs with magnetic fields. Zbl 1113.81053Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 19 2007 Continuity properties of integral kernels associated with Schrödinger operators on manifolds. Zbl 1131.81009Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 14 2007 Explicit Green functions for spin-orbit Hamiltonians. Zbl 1120.81073Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 7 2007 On the number of bound states for weak perturbations of spin-orbit Hamiltonians. Zbl 1108.81051Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 5 2007 On the discrete spectrum of spin-orbit Hamiltonians with singular interactions. Zbl 1176.81046Brüning, J.; Geyler, V.; Pankrashkin, K. 3 2007 Spectra of Schrödinger operators on equilateral quantum graphs. Zbl 1113.81056Pankrashkin, Konstantin 46 2006 Resolvents of self-adjoint extensions with mixed boundary conditions. Zbl 1143.47017Pankrashkin, Konstantin 18 2006 Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction. Zbl 1112.82032Pankrashkin, Konstantin 10 2006 A remark on Krein’s resolvent formula and boundary conditions. Zbl 1071.47003Albeverio, Sergio; Pankrashkin, Konstantin 17 2005 On-diagonal singularities of the Green functions for Schrödinger operators. Zbl 1111.81055Brüning, Jochen; Geyler, Vladimir; Pankrashkin, Konstantin 9 2005 Reducible boundary conditions in coupled channels. Zbl 1086.81044Pankrashkin, Konstantin 3 2005 Continuity and asymptotic behavior of integral kernels related to Schrödinger operators on manifolds. Zbl 1085.58021Brüning, J.; Geiler, V. A.; Pankrashkin, K. V. 1 2005 The spectral asymptotics of the two-dimensional Schrödinger operator with a strong magnetic field. I. Zbl 1104.81046Brüning, J.; Dobrokhotov, S. Yu.; Pankrashkin, K. V. 12 2002 The spectral asymptotics of the two-dimensional Schrödinger operator with a strong magnetic field. II. Zbl 1104.81307Brüning, J.; Dobrokhotov, S. Yu.; Pankrashkin, K. V. 6 2002 The asymptotic form of the lower Landau bands in a strong magnetic field. Zbl 1039.81023Brüning, J.; Dobrokhotov, S. Yu.; Pankrashkin, K. V. 1 2002 On Maslov’s conjecture on the structure of weak point singularities of the shallow water equations. Zbl 1075.76520Dobrokhotov, S. Yu.; Pankrashkin, K. V.; Semenov, E. S. 2 2001 Proof of Maslov’s conjecture about the structure of weak point singular solutions of the shallow water equations. Zbl 1082.35513Dobrokhotov, S. Yu.; Pankrashkin, K. V.; Semenov, E. S. 1 2001 On Maslov’s conjecture on the structure of weak point singularities of the shallow water equations. Zbl 1090.76513Dobrokhotov, S. Yu.; Pankrashkin, K. V.; Semenov, E. S. 1 2001 On fractal structure of the spectrum for periodic point perturbations of the Schrödinger operator with a uniform magnetic field. Zbl 0972.81037Geyler, V. A.; Pankrashkin, K. V. 2 1999 all cited Publications top 5 cited Publications all top 5 Cited by 392 Authors 38 Pankrashkin, Konstantin 31 Exner, Pavel 27 Lotoreichik, Vladimir 25 Nazarov, Sergeĭ Aleksandrovich 24 Behrndt, Jussi 15 Malamud, Mark M. 12 Popov, Igor’ Yur’evich 12 Richard, Serge 11 Ourmiéres-Bonafos, Thomas 10 Holzmann, Markus 10 Kachmar, Ayman 10 Neidhardt, Hagen 9 Dobrokhotov, Sergei Yurievich 9 Krejčiřík, David 8 Borisov, Denis Ivanovich 8 Brüning, Jochen 8 Helffer, Bernard 8 Post, Olaf 8 Rabinovich, Vladimir Samuilovich 7 Tušek, Matěj 6 Dereziński, Jan 6 Gesztesy, Fritz 6 Khrabustovskyi, Andrii 6 Mantile, Andrea 6 Rohleder, Jonathan 5 Bakharev, Fedor L’vovich 5 Cacciapuoti, Claudio 5 Cassano, Biagio 5 Kondej, Sylwia 5 Kostenko, Aleksey S. 5 Lyalinov, Mikhail Anatolievich 5 Niikuni, Hiroaki 5 Raymond, Nicolas 4 Cardone, Giuseppe 4 Geyler, Vladimir A. 4 Mugnolo, Delio 4 Pérez-Pardo, Juan Manuel 4 Pizzichillo, Fabio 4 Popoff, Nicolas 4 Posilicano, Andrea 4 Sabri, Mostafa 4 Yang, Yunlong 3 Ahmad, Bashir 3 Albeverio, Sergio A. 3 Almalki, Amal 3 Al-saedi, Ahmed Eid Salem 3 Anikin, A. Yu. 3 Barrera-Figueroa, Victor 3 Becker, Simon 3 de Snoo, Hendrik S. V. 3 Facchi, Paolo 3 Hassi, Seppo 3 Ingremeau, Maxime 3 Kennedy, James Bernard 3 Kerner, Joachim 3 Khalile, Magda 3 Kordyukov, Yuri A. 3 Korotyaev, Evgeny L. 3 Kuchment, Peter A. 3 Langer, Matthias 3 Lenz, Daniel H. 3 Lonigro, Davide 3 Mas, Albert 3 Mitrea, Marius 3 Mykhaĭlets’, Volodymyr Andriĭovych 3 Nitsch, Carlo 3 Ntouyas, Sotiris K. 3 Orive Illera, Rafael 3 Pérez-martínez, María-eugenia 3 Saburova, Natalia 3 Seifert, Christian 3 Seiringer, Robert 3 Sukhtaiev, Selim 3 Taskinen, Jari 3 Tiedra de Aldecoa, Rafael 3 Trombetti, Cristina 3 Tudorovskii, T. Ya. 3 Veselić, Ivan 2 Angelone, Giuliano 2 Antunes, Pedro Ricardo Simão 2 Archibald, Margaret 2 Arrizabalaga, Naiara 2 Ashbaugh, Mark S. 2 Asorey, Manuel 2 Band, Ram 2 Benhellal, Badreddine 2 Blinova, Irina V. 2 Boitsev, A. A. 2 Brasche, Johannes Friedemann 2 Buoso, Davide 2 Carlone, Raffaele 2 Chesnel, Lucas 2 Currie, Sonja 2 Damanik, David 2 Dell’Antonio, Gian Fausto 2 Derkach, Volodymyr Oleksandrovych 2 Dimassi, Mouez 2 Fang, Jianbo 2 Ferone, Vincenzo 2 Finco, Domenico ...and 292 more Authors all top 5 Cited in 123 Serials 24 Journal of Mathematical Physics 21 Journal of Mathematical Analysis and Applications 21 Russian Journal of Mathematical Physics 20 Annales Henri Poincaré 16 Journal of Functional Analysis 14 Letters in Mathematical Physics 14 Journal of Mathematical Sciences (New York) 13 Journal of Differential Equations 12 Reviews in Mathematical Physics 11 Communications in Mathematical Physics 10 Integral Equations and Operator Theory 10 Journal of Physics A: Mathematical and Theoretical 10 Journal of Spectral Theory 7 Mathematische Nachrichten 6 Applicable Analysis 6 Reports on Mathematical Physics 6 Theoretical and Mathematical Physics 5 Advances in Mathematics 4 Ukrainian Mathematical Journal 4 Archiv der Mathematik 4 Calculus of Variations and Partial Differential Equations 4 Sbornik: Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Complex Analysis and Operator Theory 3 Journal d’Analyse Mathématique 3 Mathematical Notes 3 Journal of Geometry and Physics 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Asymptotic Analysis 3 Computational Mathematics and Mathematical Physics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Mathematical Analysis 3 Mathematical Physics, Analysis and Geometry 3 Operators and Matrices 2 American Mathematical Monthly 2 Journal of Statistical Physics 2 Functional Analysis and its Applications 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Mathematika 2 Zeitschrift für Analysis und ihre Anwendungen 2 Revista Matemática Iberoamericana 2 The Journal of Geometric Analysis 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 St. Petersburg Mathematical Journal 2 Journal of Mathematical Chemistry 2 Doklady Mathematics 2 Journal of Inequalities and Applications 2 Communications in Contemporary Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Geometric Methods in Modern Physics 2 Waves in Random and Complex Media 2 Complex Variables and Elliptic Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Pure and Applied Analysis 1 General Relativity and Gravitation 1 Journal of Engineering Mathematics 1 Physics Letters. A 1 Physics Reports 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Compositio Mathematica 1 Dissertationes Mathematicae 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Ricerche di Matematica 1 Tokyo Journal of Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Stochastic Analysis and Applications 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Aequationes Mathematicae 1 Annals of Physics 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Potential Analysis 1 Journal of Convex Analysis 1 Opuscula Mathematica 1 Izvestiya: Mathematics 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Inequalities & Applications 1 Revista Matemática Complutense 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Qualitative Theory of Dynamical Systems 1 Differential Equations 1 Mathematical Modelling and Analysis 1 Computational Methods in Applied Mathematics 1 Applied Mathematics E-Notes 1 Portugaliae Mathematica. Nova Série 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series ...and 23 more Serials all top 5 Cited in 45 Fields 241 Partial differential equations (35-XX) 197 Quantum theory (81-XX) 163 Operator theory (47-XX) 62 Ordinary differential equations (34-XX) 50 Global analysis, analysis on manifolds (58-XX) 36 Statistical mechanics, structure of matter (82-XX) 24 Combinatorics (05-XX) 19 Optics, electromagnetic theory (78-XX) 18 Functional analysis (46-XX) 16 Differential geometry (53-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Mechanics of deformable solids (74-XX) 8 Probability theory and stochastic processes (60-XX) 7 Difference and functional equations (39-XX) 7 Fluid mechanics (76-XX) 6 Convex and discrete geometry (52-XX) 5 Mechanics of particles and systems (70-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 2 \(K\)-theory (19-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year