Edit Profile Krejčiřík, David Compute Distance To: Compute Author ID: krejcirik.david Published as: Krejcirík, D.; Krejčiřík, D.; Krejčiřík, David External Links: MGP Documents Indexed: 86 Publications since 1999 all top 5 Co-Authors 12 single-authored 11 Freitas, Pedro 10 Siegl, Petr 6 Exner, Pavel 5 Fanelli, Luca 4 Lotoreichik, Vladimir 4 Raymond, Nicolas 3 Borisov, Denis Ivanovich 3 Briet, Philippe 3 Kolb, Martin 3 Tušek, Matěj 3 Vega, Luis 2 Cossetti, Lucrezia 2 Duclos, Pierre 2 Kondej, Sylwia 2 Kovařík, Hynek 2 Royer, Julien 2 Şediváková, Helena 2 Tater, Miloš 2 Tiedra de Aldecoa, Rafael 2 Znojil, Miloslav 2 Zuazua, Enrique 1 Abdou-Soimadou, Hamza 1 Antunes, Pedro Ricardo Simão 1 Arrieta, José M. 1 Behrndt, Jussi 1 Bíla, Hynek 1 Brandolini, Barbara 1 Carron, Gilles 1 Cassano, Biagio 1 Cazacu, Cristian M. 1 Chenaud, B. 1 Chiacchio, Francesco 1 Dittrich, Jaroslav 1 Ekholm, Tomas 1 Fraas, Martin 1 Gadyl’shin, Rustem R. 1 Hammedi, Hiba 1 Henry, Raphaël 1 Hernandez-Coronado, H. 1 Hussein, Amru 1 Ibrogimov, Orif O. 1 Jakubský, Vít 1 Kawohl, Bernd 1 Kirsch, Werner 1 Kochan, Denis 1 Kříž, Jan 1 Laptev, Ari 1 Leonardi, Gian Paolo 1 Lu, Zhiqin 1 Novak, Roman 1 Ourmiéres-Bonafos, Thomas 1 Pinchover, Yehuda 1 Pratelli, Aldo 1 Raikov, Georgi D. 1 Štampach, František 1 Trombetti, Cristina 1 Viola, Joe 1 Vlachopulos, Petr 1 Železný, Jakub all top 5 Serials 4 Journal of Mathematical Physics 4 Journal of Differential Equations 4 Annales Henri Poincaré 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Physics A: Mathematical and General 3 Journal of Spectral Theory 2 Communications in Mathematical Physics 2 Letters in Mathematical Physics 2 Reviews in Mathematical Physics 2 Integral Equations and Operator Theory 2 Journal of Functional Analysis 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Communications in Partial Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Archiv der Mathematik 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Mathematika 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Mathematica Bohemica 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Convex Analysis 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Portugaliae Mathematica. Nova Série 1 Complex Analysis and Operator Theory 1 Advances in Calculus of Variations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 62 Partial differential equations (35-XX) 48 Quantum theory (81-XX) 26 Operator theory (47-XX) 19 Global analysis, analysis on manifolds (58-XX) 8 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 71 Publications have been cited 679 times in 312 Documents Cited by ▼ Year ▼ Geometrically induced discrete spectrum in curved tubes. Zbl 1078.81022Chenaud, B.; Duclos, P.; Freitas, P.; Krejčiřík, D. 35 2005 On the spectrum of curved planar waveguides. Zbl 1113.35143Krejčiřík, David; Kříž, Jan 34 2005 A Hardy inequality in twisted waveguides. Zbl 1167.35026Ekholm, T.; Kovařík, H.; Krejčiřík, D. 32 2008 Bound states in curved quantum layers. Zbl 0988.81034Duclos, P.; Exner, P.; Krejčiřík, D. 32 2001 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058Krejcirík, D.; Bíla, H.; Znojil, M. 30 2006 Topologically nontrivial quantum layers. Zbl 1070.58025Carron, G.; Exner, P.; Krejčiřík, D. 30 2004 Pseudospectra in non-Hermitian quantum mechanics. Zbl 1328.81116Krejčiřík, D.; Siegl, P.; Tater, M.; Viola, J. 25 2015 Bound states in weakly deformed strips and layers. Zbl 1043.35046Borisov, D.; Exner, P.; Gadyl’shin, R.; Krejčiřík, D. 24 2001 Location of the nodal set for thin curved tubes. Zbl 1187.35142Freitas, P.; Krejčiřík, D. 21 2008 The first Robin eigenvalue with negative boundary parameter. Zbl 1317.35151Freitas, Pedro; Krejčiřík, David 19 2015 \(\mathcal {PT}\)-symmetric waveguides. Zbl 1178.35141Borisov, Denis; Krejčiřík, David 19 2008 On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators. Zbl 1410.34086Krejčiřík, David; Siegl, Petr; Železný, Jakub 14 2014 A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains. Zbl 1147.58030Freitas, Pedro; Krejčiřík, David 14 2008 Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296Fanelli, Luca; Krejčiřík, David; Vega, Luis 13 2018 The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions. Zbl 1253.58015Krejčiřík, David; Şediváková, Helena 13 2012 The Hardy inequality and the heat equation in twisted tubes. Zbl 1217.35029Krejčiřík, David; Zuazua, Enrique 13 2010 Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions. Zbl 1173.35618Krejčiřík, David 13 2009 Calculation of the metric in the Hilbert space of a \({\mathcal P}{\mathcal T} \)-symmetric model via the spectral theorem. Zbl 1142.81008Krejčiřík, David 13 2008 Location of the essential spectrum in curved quantum layers. Zbl 1301.82073Krejčiřík, David; Lu, Zhiqin 12 2014 The Cheeger constant of curved strips. Zbl 1247.28003Krejčiřík, David; Pratelli, Aldo 12 2011 Twisting versus binding in quantum waveguides. Zbl 1165.81021Krejčiřík, David 12 2008 Perfect transmission scattering as a \(\mathcal{PT}\)-symmetric spectral problem. Zbl 1242.81127Hernandez-Coronado, H.; Krejčiřík, D.; Siegl, P. 11 2011 The nature of the essential spectrum in curved quantum waveguides. Zbl 1062.81046Krejčiřík, David; Tiedra de Aldecoa, Rafael 11 2004 Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David 10 2017 The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces. Zbl 1337.35042Krejčiřík, D.; Raymond, N.; Tušek, M. 10 2015 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223Krejčiřík, David; Lotoreichik, Vladimir 9 2018 The Hardy inequality and the heat equation with magnetic field in any dimension. Zbl 1353.35244Cazacu, Cristian; Krejčiřík, David 9 2016 Non-self-adjoint graphs. Zbl 1312.34068Hussein, Amru; Krejčiřík, David; Siegl, Petr 9 2015 Magnetic effects in curved quantum waveguides. Zbl 1301.81068Krejčiřík, David; Raymond, Nicolas 8 2014 \({\mathcal {PT}}\)-symmetric models in curved manifolds. Zbl 1207.81030Krejčiřík, David; Siegl, Petr 8 2010 Non-Hermitian spectral effects in a \({\mathcal P\mathcal T} \)-symmetric waveguide. Zbl 1140.81386Krejčiřík, D.; Tater, M. 8 2008 Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184Fanelli, Luca; Krejčiřík, David; Vega, Luis 7 2018 The improved decay rate for the heat semigroup with local magnetic field in the plane. Zbl 1270.35108Krejčiřík, David 7 2013 The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide. Zbl 1213.35107Krejčiřík, David; Zuazua, Enrique 7 2011 A lower bound to the spectral threshold in curved tubes. Zbl 1330.35360Exner, P.; Freitas, P.; Krejčiřík, D. 7 2004 Quantum strips on surfaces. Zbl 1016.58015Krejčiřík, David 7 2003 Bound states in mildly curved layers. Zbl 0981.81022Exner, P.; Krejčiřík, D. 7 2001 Pseudospectra of the Schrödinger operator with a discontinuous complex potential. Zbl 1377.34106Henry, Raphaël; Krejčiřík, David 6 2017 Elements of spectral theory without the spectral theorem. Zbl 1350.81012Krejčiřík, David; Siegl, Petr 6 2015 The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions. Zbl 1241.47042Borisov, Denis; Krejčiřík, David 6 2012 On some strong ratio limit theorems for heat kernels. Zbl 1198.35119Fraas, Martin; Krejčiřík, David; Pinchover, Yehuda 6 2010 A Hardy inequality in a twisted Dirichlet-Neumann waveguide. Zbl 1171.35084Kovařík, H.; Krejčiřík, D. 6 2008 Hardy inequalities in strips on ruled surfaces. Zbl 1114.58027Krejčiřík, David 6 2006 Waveguides coupled through a semitransparent barrier: A Birman-Schwinger analysis. Zbl 1029.81025Exner, P.; Krejcirík, D. 6 2001 The Brownian traveller on manifolds. Zbl 1297.35253Kolb, Martin; Krejčiřík, David 5 2014 Waveguides with combined Dirichlet and Robin boundary conditions. Zbl 1151.35061Freitas, P.; Krejčiřík, D. 5 2006 Instability results for the damped wave equation in unbounded domains. Zbl 1075.35018Freitas, P.; Krejčiřík, D. 5 2005 Pseudo-modes for Schrödinger operators with complex potentials. Zbl 1417.34207Krejčiřík, David; Siegl, Petr 4 2019 Hardy inequalities in globally twisted waveguides. Zbl 1327.35458Briet, Philippe; Hammedi, Hiba; Krejčiřík, David 4 2015 Nodal sets of thin curved layers. Zbl 1323.35109Krejčiřík, David; Tušek, Matěj 4 2015 The Pauli equation with complex boundary conditions. Zbl 1263.81166Kochan, D.; Krejčiřík, D.; Novák, R.; Siegl, P. 4 2012 Unbounded planar domains whose second nodal line does not touch the boundary. Zbl 1149.35063Freitas, Pedro; Krejčiřík, David 4 2007 Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators. Zbl 1419.35138Fanelli, Luca; Krejčiřík, David 3 2019 Location of hot spots in thin curved strips. Zbl 1407.35069Krejčiřík, David; Tušek, Matěj 3 2019 Non-accretive Schrödinger operators and exponential decay of their eigenfunctions. Zbl 06808419Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P. 3 2017 Spectral analysis of the diffusion operator with random jumps from the boundary. Zbl 1352.60096Kolb, Martin; Krejčiřík, David 3 2016 Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions. Zbl 1340.35239Krejčiřík, David 3 2014 Geometric versus spectral convergence for the Neumann Laplacian under exterior perturbations of the domain. Zbl 1196.35148Arrieta, J. M.; Krejčiřík, D. 3 2010 Spectral transitions for Aharonov-Bohm Laplacians on conical layers. Zbl 1436.35267Krejčiřík, D.; Lotoreichik, V.; Ourmières-Bonafos, T. 2 2019 An indefinite Laplacian on a rectangle. Zbl 1402.35184Behrndt, Jussi; Krejčiřík, David 2 2018 Lifshits tails for randomly twisted quantum waveguides. Zbl 1395.82107Kirsch, Werner; Krejčiřík, David; Raikov, Georgi 2 2018 Waveguides with asymptotically diverging twisting. Zbl 06477092Krejčiřík, David 2 2015 Qualitative analysis of trapped Dirac fermions in graphene. Zbl 1343.82073Jakubský, Vít; Krejčiřík, David 2 2014 Spectral analysis of a quantum system with a double line singular interaction. Zbl 1286.81081Kondej, Sylwia; Krejčiřík, David 2 2013 Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space. Zbl 07217620Cossetti, L.; Krejčiřík, D. 1 2020 Location of eigenvalues of non-self-adjoint discrete Dirac operators. Zbl 1454.47033Cassano, B.; Ibrogimov, O. O.; Krejčiřík, D.; Štampach, F. 1 2020 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 07205400Krejčiřík, David; Lotoreichik, Vladimir 1 2020 Complex magnetic fields: an improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness. Zbl 1411.35018Krejčiřík, David 1 2019 Ruled strips with asymptotically diverging twisting. Zbl 1395.35076Krejčiřík, David; Tiedra de Aldecoa, Rafael 1 2018 Asymptotic spectral analysis in colliding leaky quantum layers. Zbl 1355.82052Kondej, Sylwia; Krejčiřík, David 1 2017 The Hardy inequality and the heat flow in curved wedges. Zbl 1339.35136Krejčiřík, David 1 2016 Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space. Zbl 07217620Cossetti, L.; Krejčiřík, D. 1 2020 Location of eigenvalues of non-self-adjoint discrete Dirac operators. Zbl 1454.47033Cassano, B.; Ibrogimov, O. O.; Krejčiřík, D.; Štampach, F. 1 2020 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 07205400Krejčiřík, David; Lotoreichik, Vladimir 1 2020 Pseudo-modes for Schrödinger operators with complex potentials. Zbl 1417.34207Krejčiřík, David; Siegl, Petr 4 2019 Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators. Zbl 1419.35138Fanelli, Luca; Krejčiřík, David 3 2019 Location of hot spots in thin curved strips. Zbl 1407.35069Krejčiřík, David; Tušek, Matěj 3 2019 Spectral transitions for Aharonov-Bohm Laplacians on conical layers. Zbl 1436.35267Krejčiřík, D.; Lotoreichik, V.; Ourmières-Bonafos, T. 2 2019 Complex magnetic fields: an improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness. Zbl 1411.35018Krejčiřík, David 1 2019 Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296Fanelli, Luca; Krejčiřík, David; Vega, Luis 13 2018 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223Krejčiřík, David; Lotoreichik, Vladimir 9 2018 Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184Fanelli, Luca; Krejčiřík, David; Vega, Luis 7 2018 An indefinite Laplacian on a rectangle. Zbl 1402.35184Behrndt, Jussi; Krejčiřík, David 2 2018 Lifshits tails for randomly twisted quantum waveguides. Zbl 1395.82107Kirsch, Werner; Krejčiřík, David; Raikov, Georgi 2 2018 Ruled strips with asymptotically diverging twisting. Zbl 1395.35076Krejčiřík, David; Tiedra de Aldecoa, Rafael 1 2018 Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David 10 2017 Pseudospectra of the Schrödinger operator with a discontinuous complex potential. Zbl 1377.34106Henry, Raphaël; Krejčiřík, David 6 2017 Non-accretive Schrödinger operators and exponential decay of their eigenfunctions. Zbl 06808419Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P. 3 2017 Asymptotic spectral analysis in colliding leaky quantum layers. Zbl 1355.82052Kondej, Sylwia; Krejčiřík, David 1 2017 The Hardy inequality and the heat equation with magnetic field in any dimension. Zbl 1353.35244Cazacu, Cristian; Krejčiřík, David 9 2016 Spectral analysis of the diffusion operator with random jumps from the boundary. Zbl 1352.60096Kolb, Martin; Krejčiřík, David 3 2016 The Hardy inequality and the heat flow in curved wedges. Zbl 1339.35136Krejčiřík, David 1 2016 Pseudospectra in non-Hermitian quantum mechanics. Zbl 1328.81116Krejčiřík, D.; Siegl, P.; Tater, M.; Viola, J. 25 2015 The first Robin eigenvalue with negative boundary parameter. Zbl 1317.35151Freitas, Pedro; Krejčiřík, David 19 2015 The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces. Zbl 1337.35042Krejčiřík, D.; Raymond, N.; Tušek, M. 10 2015 Non-self-adjoint graphs. Zbl 1312.34068Hussein, Amru; Krejčiřík, David; Siegl, Petr 9 2015 Elements of spectral theory without the spectral theorem. Zbl 1350.81012Krejčiřík, David; Siegl, Petr 6 2015 Hardy inequalities in globally twisted waveguides. Zbl 1327.35458Briet, Philippe; Hammedi, Hiba; Krejčiřík, David 4 2015 Nodal sets of thin curved layers. Zbl 1323.35109Krejčiřík, David; Tušek, Matěj 4 2015 Waveguides with asymptotically diverging twisting. Zbl 06477092Krejčiřík, David 2 2015 On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators. Zbl 1410.34086Krejčiřík, David; Siegl, Petr; Železný, Jakub 14 2014 Location of the essential spectrum in curved quantum layers. Zbl 1301.82073Krejčiřík, David; Lu, Zhiqin 12 2014 Magnetic effects in curved quantum waveguides. Zbl 1301.81068Krejčiřík, David; Raymond, Nicolas 8 2014 The Brownian traveller on manifolds. Zbl 1297.35253Kolb, Martin; Krejčiřík, David 5 2014 Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions. Zbl 1340.35239Krejčiřík, David 3 2014 Qualitative analysis of trapped Dirac fermions in graphene. Zbl 1343.82073Jakubský, Vít; Krejčiřík, David 2 2014 The improved decay rate for the heat semigroup with local magnetic field in the plane. Zbl 1270.35108Krejčiřík, David 7 2013 Spectral analysis of a quantum system with a double line singular interaction. Zbl 1286.81081Kondej, Sylwia; Krejčiřík, David 2 2013 The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions. Zbl 1253.58015Krejčiřík, David; Şediváková, Helena 13 2012 The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions. Zbl 1241.47042Borisov, Denis; Krejčiřík, David 6 2012 The Pauli equation with complex boundary conditions. Zbl 1263.81166Kochan, D.; Krejčiřík, D.; Novák, R.; Siegl, P. 4 2012 The Cheeger constant of curved strips. Zbl 1247.28003Krejčiřík, David; Pratelli, Aldo 12 2011 Perfect transmission scattering as a \(\mathcal{PT}\)-symmetric spectral problem. Zbl 1242.81127Hernandez-Coronado, H.; Krejčiřík, D.; Siegl, P. 11 2011 The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide. Zbl 1213.35107Krejčiřík, David; Zuazua, Enrique 7 2011 The Hardy inequality and the heat equation in twisted tubes. Zbl 1217.35029Krejčiřík, David; Zuazua, Enrique 13 2010 \({\mathcal {PT}}\)-symmetric models in curved manifolds. Zbl 1207.81030Krejčiřík, David; Siegl, Petr 8 2010 On some strong ratio limit theorems for heat kernels. Zbl 1198.35119Fraas, Martin; Krejčiřík, David; Pinchover, Yehuda 6 2010 Geometric versus spectral convergence for the Neumann Laplacian under exterior perturbations of the domain. Zbl 1196.35148Arrieta, J. M.; Krejčiřík, D. 3 2010 Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions. Zbl 1173.35618Krejčiřík, David 13 2009 A Hardy inequality in twisted waveguides. Zbl 1167.35026Ekholm, T.; Kovařík, H.; Krejčiřík, D. 32 2008 Location of the nodal set for thin curved tubes. Zbl 1187.35142Freitas, P.; Krejčiřík, D. 21 2008 \(\mathcal {PT}\)-symmetric waveguides. Zbl 1178.35141Borisov, Denis; Krejčiřík, David 19 2008 A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains. Zbl 1147.58030Freitas, Pedro; Krejčiřík, David 14 2008 Calculation of the metric in the Hilbert space of a \({\mathcal P}{\mathcal T} \)-symmetric model via the spectral theorem. Zbl 1142.81008Krejčiřík, David 13 2008 Twisting versus binding in quantum waveguides. Zbl 1165.81021Krejčiřík, David 12 2008 Non-Hermitian spectral effects in a \({\mathcal P\mathcal T} \)-symmetric waveguide. Zbl 1140.81386Krejčiřík, D.; Tater, M. 8 2008 A Hardy inequality in a twisted Dirichlet-Neumann waveguide. Zbl 1171.35084Kovařík, H.; Krejčiřík, D. 6 2008 Unbounded planar domains whose second nodal line does not touch the boundary. Zbl 1149.35063Freitas, Pedro; Krejčiřík, David 4 2007 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058Krejcirík, D.; Bíla, H.; Znojil, M. 30 2006 Hardy inequalities in strips on ruled surfaces. Zbl 1114.58027Krejčiřík, David 6 2006 Waveguides with combined Dirichlet and Robin boundary conditions. Zbl 1151.35061Freitas, P.; Krejčiřík, D. 5 2006 Geometrically induced discrete spectrum in curved tubes. Zbl 1078.81022Chenaud, B.; Duclos, P.; Freitas, P.; Krejčiřík, D. 35 2005 On the spectrum of curved planar waveguides. Zbl 1113.35143Krejčiřík, David; Kříž, Jan 34 2005 Instability results for the damped wave equation in unbounded domains. Zbl 1075.35018Freitas, P.; Krejčiřík, D. 5 2005 Topologically nontrivial quantum layers. Zbl 1070.58025Carron, G.; Exner, P.; Krejčiřík, D. 30 2004 The nature of the essential spectrum in curved quantum waveguides. Zbl 1062.81046Krejčiřík, David; Tiedra de Aldecoa, Rafael 11 2004 A lower bound to the spectral threshold in curved tubes. Zbl 1330.35360Exner, P.; Freitas, P.; Krejčiřík, D. 7 2004 Quantum strips on surfaces. Zbl 1016.58015Krejčiřík, David 7 2003 Bound states in curved quantum layers. Zbl 0988.81034Duclos, P.; Exner, P.; Krejčiřík, D. 32 2001 Bound states in weakly deformed strips and layers. Zbl 1043.35046Borisov, D.; Exner, P.; Gadyl’shin, R.; Krejčiřík, D. 24 2001 Bound states in mildly curved layers. Zbl 0981.81022Exner, P.; Krejčiřík, D. 7 2001 Waveguides coupled through a semitransparent barrier: A Birman-Schwinger analysis. Zbl 1029.81025Exner, P.; Krejcirík, D. 6 2001 all cited Publications top 5 cited Publications all top 5 Cited by 321 Authors 50 Krejčiřík, David 20 Exner, Pavel 17 Lotoreichik, Vladimir 15 Siegl, Petr 12 Borisov, Denis Ivanovich 12 Kovařík, Hynek 12 Raymond, Nicolas 10 Freitas, Pedro 8 Kondej, Sylwia 8 Nazarov, Sergeĭ Aleksandrovich 7 Lu, Zhiqin 7 Pankrashkin, Konstantin 7 Verri, Alessandra A. 7 Znojil, Miloslav 6 Briet, Philippe 6 Cardone, Giuseppe 6 de Oliveira, César R. 6 Ourmiéres-Bonafos, Thomas 5 Bucur, Dorin 5 Fanelli, Luca 5 Lampart, Jonas 5 Leonardi, Gian Paolo 5 Popoff, Nicolas 5 Tušek, Matěj 4 Behrndt, Jussi 4 Dauge, Monique 4 Laugesen, Richard Snyder 4 Raikov, Georgi D. 4 Royer, Julien 4 Ružička, František 4 Teufel, Stefan 3 Bagarello, Fabio 3 Barseghyan, Diana 3 Bebiano, Natália Isabel Quadros 3 Bouchitté, Guy 3 da Providência Santarém e Costa, João 3 Ergun, Ebru 3 Felli, Veronica 3 Gadyl’shin, Rustem R. 3 Grillo, Gabriele 3 Grushin, V. V. 3 Haag, Stefan 3 Ibrogimov, Orif O. 3 Lin, Christopher H. 3 Mascarenhas, Maria-Luisa 3 Najar, Hatem 3 Nitsch, Carlo 3 Ruotsalainen, Keijo Matti 3 Saracco, Giorgio 3 Soccorsi, Eric 3 Trombetti, Cristina 2 Beck, Thomas L. 2 Bonnaillie-Noël, Virginie 2 Boulton, Lyonell S. 2 Brandolini, Barbara 2 Bruneau, Vincent 2 Bunoiu, Renata 2 Cao, Xinlin 2 Cardoulis, Laure 2 Cazacu, Cristian M. 2 Charalambous, Nelia 2 Cossetti, Lucrezia 2 Cristofol, Michel 2 Cuenin, Jean-Claude 2 Diao, Huaian 2 Dittrich, Jaroslav 2 Ekholm, Tomas 2 Fernández, Francisco Marcelo 2 Fragalà, Ilaria 2 Fring, Andreas 2 Gómez, Delfina 2 Hasnaoui, Abdelhalim 2 Hussein, Amru 2 Jex, Michal 2 Johnson, Edward Robert 2 Kachmar, Ayman 2 Kaoullas, George 2 Kennedy, James Bernard 2 Kirsch, Werner 2 Kolb, Martin 2 Langer, Matthias 2 Mamani, Carlos R. 2 Miranda, Pablo L. 2 Mostafazadeh, Ali 2 Novák, Radek 2 Olendski, Oleg 2 Paoli, Gloria 2 Pérez-martínez, María-eugenia 2 Pinchover, Yehuda 2 Pratelli, Aldo 2 Rohleder, Jonathan 2 Siudeja, Bartłomiej Andrzej 2 Štampach, František 2 Tater, Miloš 2 Terracini, Susanna 2 Tiedra de Aldecoa, Rafael 2 Trabucho, Luis 2 Trani, Leonardo 2 Uusitalo, Pauliina 2 Vega, Luis ...and 221 more Authors all top 5 Cited in 101 Serials 36 Journal of Mathematical Physics 17 Journal of Differential Equations 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Annales Henri Poincaré 10 International Journal of Theoretical Physics 10 Journal of Mathematical Analysis and Applications 9 Letters in Mathematical Physics 9 Journal of Functional Analysis 7 Physics Letters. A 7 Communications in Partial Differential Equations 6 Integral Equations and Operator Theory 5 Communications in Mathematical Physics 5 Reports on Mathematical Physics 5 Reviews in Mathematical Physics 5 Archiv der Mathematik 5 Annals of Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIAM Journal on Mathematical Analysis 5 Calculus of Variations and Partial Differential Equations 5 Mathematical Physics, Analysis and Geometry 5 Journal of Physics A: Mathematical and Theoretical 5 Journal of Spectral Theory 4 Mathematical Notes 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 The Journal of Geometric Analysis 3 Applicable Analysis 3 Journal d’Analyse Mathématique 3 Proceedings of the American Mathematical Society 3 Communications in Contemporary Mathematics 3 Complex Analysis and Operator Theory 2 Archive for Rational Mechanics and Analysis 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Theoretical and Mathematical Physics 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Differential Geometry and its Applications 2 Linear Algebra and its Applications 2 Potential Analysis 2 St. Petersburg Mathematical Journal 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Modern Physics Letters A 1 Modern Physics Letters B 1 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Functional Analysis and its Applications 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Convex Analysis 1 Journal of Inequalities and Applications 1 Revista Matemática Complutense 1 Journal of Mathematical Fluid Mechanics 1 Physical Review Letters 1 The ANZIAM Journal 1 Journal of Systems Science and Complexity 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Journal of Function Spaces and Applications 1 International Journal of Geometric Methods in Modern Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Operators and Matrices 1 Advances in Calculus of Variations 1 Confluentes Mathematici 1 Advances in Mathematical Physics 1 Quantum Studies: Mathematics and Foundations 1 Séminaire Laurent Schwartz. EDP et Applications ...and 1 more Serials all top 5 Cited in 39 Fields 202 Partial differential equations (35-XX) 156 Quantum theory (81-XX) 65 Operator theory (47-XX) 43 Global analysis, analysis on manifolds (58-XX) 27 Statistical mechanics, structure of matter (82-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 24 Optics, electromagnetic theory (78-XX) 19 Ordinary differential equations (34-XX) 12 Functional analysis (46-XX) 9 Mechanics of deformable solids (74-XX) 8 Numerical analysis (65-XX) 7 Differential geometry (53-XX) 7 Probability theory and stochastic processes (60-XX) 7 Fluid mechanics (76-XX) 5 Functions of a complex variable (30-XX) 4 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 3 Algebraic geometry (14-XX) 3 Convex and discrete geometry (52-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year