Edit Profile (opens in new tab) Krejčiřík, David Compute Distance To: Compute Author ID: krejcirik.david Published as: Krejčiřík, David; Krejčiřík, D.; Krejcirík, D. more...less External Links: MGP Documents Indexed: 94 Publications since 1999 Co-Authors: 65 Co-Authors with 82 Joint Publications 1,193 Co-Co-Authors all top 5 Co-Authors 12 single-authored 11 Freitas, Pedro 10 Siegl, Petr 6 Exner, Pavel 6 Fanelli, Luca 5 Lotoreichik, Vladimir 5 Raymond, Nicolas 4 Tušek, Matěj 3 Borisov, Denis Ivanovich 3 Briet, Philippe 3 Kolb, Martin 3 Vega, Luis 2 Antunes, Pedro Ricardo Simão 2 Cossetti, Lucrezia 2 Duclos, Pierre 2 Kondej, Sylwia 2 Kovařík, Hynek 2 Royer, Julien 2 Şediváková, Helena 2 Štampach, František 2 Tater, Miloš 2 Tiedra de Aldecoa, Rafael 2 Znojil, Miloslav 2 Zuazua, Enrique 1 Abdou-Soimadou, Hamza 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 Cornean, Horia D. 1 D’Ancona, Piero 1 Duc, Tho Nguyen 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 Kříž, Jan 1 Kurimaiová, Tereza 1 Laptev, Ari 1 Leonardi, Gian Paolo 1 Lu, Zhiqin 1 Ourmiéres-Bonafos, Thomas 1 Pankrashkin, Konstantin 1 Pedersen, Thomas Garm 1 Pinchover, Yehuda 1 Pratelli, Aldo 1 Raikov, Georgi D. 1 Schiavone, Nico Michele 1 Stockmeyer, Edgardo 1 Trombetti, Cristina 1 Viola, Joe 1 Vlachopulos, Petr 1 Zahradová, Kateřina 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 Integral Equations and Operator Theory 3 Journal of Functional Analysis 3 Journal of Physics A: Mathematical and General 3 Journal of Spectral Theory 2 Communications in Mathematical Physics 2 Letters in Mathematical Physics 2 Physics Letters. A 2 Reviews in Mathematical Physics 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 1 American Mathematical Monthly 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 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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Tôhoku 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 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 Journal of Evolution Equations 1 Portugaliae Mathematica. Nova Série 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Advances in Calculus of Variations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 67 Partial differential equations (35-XX) 53 Quantum theory (81-XX) 27 Operator theory (47-XX) 20 Global analysis, analysis on manifolds (58-XX) 8 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 4 Optics, electromagnetic theory (78-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Geometry (51-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 Open 82 Publications have been cited 856 times in 386 Documents Cited by ▼ Year ▼ Geometrically induced discrete spectrum in curved tubes. Zbl 1078.81022Chenaud, B.; Duclos, P.; Freitas, P.; Krejčiřík, D. 38 2005 On the spectrum of curved planar waveguides. Zbl 1113.35143Krejčiřík, David; Kříž, Jan 36 2005 A Hardy inequality in twisted waveguides. Zbl 1167.35026Ekholm, T.; Kovařík, H.; Krejčiřík, D. 35 2008 Bound states in curved quantum layers. Zbl 0988.81034Duclos, P.; Exner, P.; Krejčiřík, D. 34 2001 Pseudospectra in non-Hermitian quantum mechanics. Zbl 1328.81116Krejčiřík, D.; Siegl, P.; Tater, M.; Viola, J. 34 2015 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058Krejcirík, D.; Bíla, H.; Znojil, M. 34 2006 Topologically nontrivial quantum layers. Zbl 1070.58025Carron, G.; Exner, P.; Krejčiřík, D. 31 2004 The first Robin eigenvalue with negative boundary parameter. Zbl 1317.35151Freitas, Pedro; Krejčiřík, David 31 2015 Bound states in weakly deformed strips and layers. Zbl 1043.35046Borisov, D.; Exner, P.; Gadyl’shin, R.; Krejčiřík, D. 26 2001 Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296Fanelli, Luca; Krejčiřík, David; Vega, Luis 21 2018 \(\mathcal {PT}\)-symmetric waveguides. Zbl 1178.35141Borisov, Denis; Krejčiřík, David 21 2008 Location of the nodal set for thin curved tubes. Zbl 1187.35142Freitas, P.; Krejčiřík, D. 21 2008 Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David 21 2017 The Cheeger constant of curved strips. Zbl 1247.28003Krejčiřík, David; Pratelli, Aldo 16 2011 The Hardy inequality and the heat equation in twisted tubes. Zbl 1217.35029Krejčiřík, David; Zuazua, Enrique 15 2010 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 15 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 15 2014 The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions. Zbl 1253.58015Krejčiřík, David; Şediváková, Helena 14 2012 The nature of the essential spectrum in curved quantum waveguides. Zbl 1062.81046Krejčiřík, David; Tiedra de Aldecoa, Rafael 14 2004 Calculation of the metric in the Hilbert space of a \({\mathcal P}{\mathcal T} \)-symmetric model via the spectral theorem. Zbl 1142.81008Krejčiřík, David 14 2008 Non-self-adjoint graphs. Zbl 1312.34068Hussein, Amru; Krejčiřík, David; Siegl, Petr 14 2015 Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184Fanelli, Luca; Krejčiřík, David; Vega, Luis 14 2018 Twisting versus binding in quantum waveguides. Zbl 1165.81021Krejčiřík, David 13 2008 Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions. Zbl 1173.35618Krejčiřík, David 13 2009 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223Krejčiřík, David; Lotoreichik, Vladimir 13 2018 Location of the essential spectrum in curved quantum layers. Zbl 1301.82073Krejčiřík, David; Lu, Zhiqin 13 2014 The Hardy inequality and the heat equation with magnetic field in any dimension. Zbl 1353.35244Cazacu, Cristian; Krejčiřík, David 12 2016 Perfect transmission scattering as a \(\mathcal{PT}\)-symmetric spectral problem. Zbl 1242.81127Hernandez-Coronado, H.; Krejčiřík, D.; Siegl, P. 12 2011 \({\mathcal {PT}}\)-symmetric models in curved manifolds. Zbl 1207.81030Krejčiřík, David; Siegl, Petr 10 2010 The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces. Zbl 1337.35042Krejčiřík, D.; Raymond, N.; Tušek, M. 10 2015 The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide. Zbl 1213.35107Krejčiřík, David; Zuazua, Enrique 9 2011 On some strong ratio limit theorems for heat kernels. Zbl 1198.35119Fraas, Martin; Krejčiřík, David; Pinchover, Yehuda 8 2010 Non-Hermitian spectral effects in a \({\mathcal P\mathcal T} \)-symmetric waveguide. Zbl 1140.81386Krejčiřík, D.; Tater, M. 8 2008 Magnetic effects in curved quantum waveguides. Zbl 1301.81068Krejčiřík, David; Raymond, Nicolas 8 2014 Hardy inequalities in strips on ruled surfaces. Zbl 1114.58027Krejčiřík, David 8 2006 The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions. Zbl 1241.47042Borisov, Denis; Krejčiřík, David 8 2012 Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers. Zbl 1455.81022Cossetti, Lucrezia; Fanelli, Luca; Krejčiřík, David 8 2020 Bound states in mildly curved layers. Zbl 0981.81022Exner, P.; Krejčiřík, D. 7 2001 Instability results for the damped wave equation in unbounded domains. Zbl 1075.35018Freitas, P.; Krejčiřík, D. 7 2005 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 The improved decay rate for the heat semigroup with local magnetic field in the plane. Zbl 1270.35108Krejčiřík, David 7 2013 Elements of spectral theory without the spectral theorem. Zbl 1350.81012Krejčiřík, David; Siegl, Petr 7 2015 The Brownian traveller on manifolds. Zbl 1297.35253Kolb, Martin; Krejčiřík, David 7 2014 Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators. Zbl 1419.35138Fanelli, Luca; Krejčiřík, David 7 2019 Pseudo-modes for Schrödinger operators with complex potentials. Zbl 1417.34207Krejčiřík, David; Siegl, Petr 6 2019 Waveguides coupled through a semitransparent barrier: A Birman-Schwinger analysis. Zbl 1029.81025Exner, P.; Krejcirík, D. 6 2001 Hardy inequalities in globally twisted waveguides. Zbl 1327.35458Briet, Philippe; Hammedi, Hiba; Krejčiřík, David 6 2015 A Hardy inequality in a twisted Dirichlet-Neumann waveguide. Zbl 1171.35084Kovařík, H.; Krejčiřík, D. 6 2008 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. 6 2017 Location of eigenvalues of non-self-adjoint discrete Dirac operators. Zbl 1454.47033Cassano, B.; Ibrogimov, O. O.; Krejčiřík, D.; Štampach, F. 6 2020 The Pauli equation with complex boundary conditions. Zbl 1263.81166Kochan, D.; Krejčiřík, D.; Novák, R.; Siegl, P. 5 2012 Waveguides with combined Dirichlet and Robin boundary conditions. Zbl 1151.35061Freitas, P.; Krejčiřík, D. 5 2006 Unbounded planar domains whose second nodal line does not touch the boundary. Zbl 1149.35063Freitas, Pedro; Krejčiřík, David 5 2007 Location of hot spots in thin curved strips. Zbl 1407.35069Krejčiřík, David; Tušek, Matěj 5 2019 The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav 5 2018 Reduction of dimension as a consequence of norm-resolvent convergence and applications. Zbl 1394.81124Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P. 4 2018 Spectral analysis of the diffusion operator with random jumps from the boundary. Zbl 1352.60096Kolb, Martin; Krejčiřík, David 4 2016 Waveguides with asymptotically diverging twisting. Zbl 06477092Krejčiřík, David 4 2015 Nodal sets of thin curved layers. Zbl 1323.35109Krejčiřík, David; Tušek, Matěj 4 2015 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147Krejčiřík, David; Lotoreichik, Vladimir 4 2020 Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space. Zbl 1471.35095Cossetti, L.; Krejčiřík, D. 4 2020 From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation. Zbl 1462.35223Krejčiřík, David; Kurimaiová, Tereza 3 2020 Ruled strips with asymptotically diverging twisting. Zbl 1395.35076Krejčiřík, David; Tiedra de Aldecoa, Rafael 3 2018 The Cheeger constant of curved tubes. Zbl 1415.49027Krejčiřík, David; Leonardi, Gian Paolo; Vlachopulos, Petr 3 2019 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 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 3 2014 An indefinite Laplacian on a rectangle. Zbl 1402.35184Behrndt, Jussi; Krejčiřík, David 3 2018 On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis 3 2020 Spectral transitions for Aharonov-Bohm Laplacians on conical layers. Zbl 1436.35267Krejčiřík, D.; Lotoreichik, V.; Ourmières-Bonafos, T. 2 2019 Lifshits tails for randomly twisted quantum waveguides. Zbl 1395.82107Kirsch, Werner; Krejčiřík, David; Raikov, Georgi 2 2018 Complex magnetic fields: an improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness. Zbl 1411.35018Krejčiřík, David 2 2019 Spectral analysis of sheared nanoribbons. Zbl 1415.35295Briet, Philippe; Abdou-Soimadou, Hamza; Krejčiřík, David 2 2019 The equality case in a Poincaré-Wirtinger type inequality. Zbl 1348.35150Brandolini, Barbara; Chiacchio, Francesco; Krejčiřík, David; Trombetti, Cristina 2 2016 The Hardy inequality and the heat flow in curved wedges. Zbl 1339.35136Krejčiřík, David 2 2016 Spectral analysis of a quantum system with a double line singular interaction. Zbl 1286.81081Kondej, Sylwia; Krejčiřík, David 2 2013 Quantum strips in higher dimensions. Zbl 1462.58016Krejčiřík, David; Zahradová, Kateřina 1 2020 Correction to: “Spectral analysis of the diffusion operator with random jumps from the boundary”. Zbl 1440.60060Kolb, Martin; Krejčiřík, David 1 2020 Asymptotic spectral analysis in colliding leaky quantum layers. Zbl 1355.82052Kondej, Sylwia; Krejčiřík, David 1 2017 Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators. Zbl 1476.35152D’Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N. M. 1 2022 Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators. Zbl 1476.35152D’Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N. M. 1 2022 Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers. Zbl 1455.81022Cossetti, Lucrezia; Fanelli, Luca; Krejčiřík, David 8 2020 Location of eigenvalues of non-self-adjoint discrete Dirac operators. Zbl 1454.47033Cassano, B.; Ibrogimov, O. O.; Krejčiřík, D.; Štampach, F. 6 2020 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147Krejčiřík, David; Lotoreichik, Vladimir 4 2020 Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space. Zbl 1471.35095Cossetti, L.; Krejčiřík, D. 4 2020 From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation. Zbl 1462.35223Krejčiřík, David; Kurimaiová, Tereza 3 2020 On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis 3 2020 Quantum strips in higher dimensions. Zbl 1462.58016Krejčiřík, David; Zahradová, Kateřina 1 2020 Correction to: “Spectral analysis of the diffusion operator with random jumps from the boundary”. Zbl 1440.60060Kolb, Martin; Krejčiřík, David 1 2020 Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators. Zbl 1419.35138Fanelli, Luca; Krejčiřík, David 7 2019 Pseudo-modes for Schrödinger operators with complex potentials. Zbl 1417.34207Krejčiřík, David; Siegl, Petr 6 2019 Location of hot spots in thin curved strips. Zbl 1407.35069Krejčiřík, David; Tušek, Matěj 5 2019 The Cheeger constant of curved tubes. Zbl 1415.49027Krejčiřík, David; Leonardi, Gian Paolo; Vlachopulos, Petr 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 2 2019 Spectral analysis of sheared nanoribbons. Zbl 1415.35295Briet, Philippe; Abdou-Soimadou, Hamza; Krejčiřík, David 2 2019 Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296Fanelli, Luca; Krejčiřík, David; Vega, Luis 21 2018 Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184Fanelli, Luca; Krejčiřík, David; Vega, Luis 14 2018 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223Krejčiřík, David; Lotoreichik, Vladimir 13 2018 The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav 5 2018 Reduction of dimension as a consequence of norm-resolvent convergence and applications. Zbl 1394.81124Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P. 4 2018 Ruled strips with asymptotically diverging twisting. Zbl 1395.35076Krejčiřík, David; Tiedra de Aldecoa, Rafael 3 2018 An indefinite Laplacian on a rectangle. Zbl 1402.35184Behrndt, Jussi; Krejčiřík, David 3 2018 Lifshits tails for randomly twisted quantum waveguides. Zbl 1395.82107Kirsch, Werner; Krejčiřík, David; Raikov, Georgi 2 2018 Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David 21 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. 6 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 12 2016 Spectral analysis of the diffusion operator with random jumps from the boundary. Zbl 1352.60096Kolb, Martin; Krejčiřík, David 4 2016 The equality case in a Poincaré-Wirtinger type inequality. Zbl 1348.35150Brandolini, Barbara; Chiacchio, Francesco; Krejčiřík, David; Trombetti, Cristina 2 2016 The Hardy inequality and the heat flow in curved wedges. Zbl 1339.35136Krejčiřík, David 2 2016 Pseudospectra in non-Hermitian quantum mechanics. Zbl 1328.81116Krejčiřík, D.; Siegl, P.; Tater, M.; Viola, J. 34 2015 The first Robin eigenvalue with negative boundary parameter. Zbl 1317.35151Freitas, Pedro; Krejčiřík, David 31 2015 Non-self-adjoint graphs. Zbl 1312.34068Hussein, Amru; Krejčiřík, David; Siegl, Petr 14 2015 The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces. Zbl 1337.35042Krejčiřík, D.; Raymond, N.; Tušek, M. 10 2015 Elements of spectral theory without the spectral theorem. Zbl 1350.81012Krejčiřík, David; Siegl, Petr 7 2015 Hardy inequalities in globally twisted waveguides. Zbl 1327.35458Briet, Philippe; Hammedi, Hiba; Krejčiřík, David 6 2015 Waveguides with asymptotically diverging twisting. Zbl 06477092Krejčiřík, David 4 2015 Nodal sets of thin curved layers. Zbl 1323.35109Krejčiřík, David; Tušek, Matěj 4 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 15 2014 Location of the essential spectrum in curved quantum layers. Zbl 1301.82073Krejčiřík, David; Lu, Zhiqin 13 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 7 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 3 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 14 2012 The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions. Zbl 1241.47042Borisov, Denis; Krejčiřík, David 8 2012 The Pauli equation with complex boundary conditions. Zbl 1263.81166Kochan, D.; Krejčiřík, D.; Novák, R.; Siegl, P. 5 2012 The Cheeger constant of curved strips. Zbl 1247.28003Krejčiřík, David; Pratelli, Aldo 16 2011 Perfect transmission scattering as a \(\mathcal{PT}\)-symmetric spectral problem. Zbl 1242.81127Hernandez-Coronado, H.; Krejčiřík, D.; Siegl, P. 12 2011 The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide. Zbl 1213.35107Krejčiřík, David; Zuazua, Enrique 9 2011 The Hardy inequality and the heat equation in twisted tubes. Zbl 1217.35029Krejčiřík, David; Zuazua, Enrique 15 2010 \({\mathcal {PT}}\)-symmetric models in curved manifolds. Zbl 1207.81030Krejčiřík, David; Siegl, Petr 10 2010 On some strong ratio limit theorems for heat kernels. Zbl 1198.35119Fraas, Martin; Krejčiřík, David; Pinchover, Yehuda 8 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. 35 2008 \(\mathcal {PT}\)-symmetric waveguides. Zbl 1178.35141Borisov, Denis; Krejčiřík, David 21 2008 Location of the nodal set for thin curved tubes. Zbl 1187.35142Freitas, P.; Krejčiřík, D. 21 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 15 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 14 2008 Twisting versus binding in quantum waveguides. Zbl 1165.81021Krejčiřík, David 13 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 5 2007 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058Krejcirík, D.; Bíla, H.; Znojil, M. 34 2006 Hardy inequalities in strips on ruled surfaces. Zbl 1114.58027Krejčiřík, David 8 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. 38 2005 On the spectrum of curved planar waveguides. Zbl 1113.35143Krejčiřík, David; Kříž, Jan 36 2005 Instability results for the damped wave equation in unbounded domains. Zbl 1075.35018Freitas, P.; Krejčiřík, D. 7 2005 Topologically nontrivial quantum layers. Zbl 1070.58025Carron, G.; Exner, P.; Krejčiřík, D. 31 2004 The nature of the essential spectrum in curved quantum waveguides. Zbl 1062.81046Krejčiřík, David; Tiedra de Aldecoa, Rafael 14 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. 34 2001 Bound states in weakly deformed strips and layers. Zbl 1043.35046Borisov, D.; Exner, P.; Gadyl’shin, R.; Krejčiřík, D. 26 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 382 Authors 54 Krejčiřík, David 22 Exner, Pavel 21 Lotoreichik, Vladimir 19 Siegl, Petr 13 Borisov, Denis Ivanovich 13 Kovařík, Hynek 12 Raymond, Nicolas 10 Fanelli, Luca 10 Freitas, Pedro 10 Znojil, Miloslav 9 Nazarov, Sergeĭ Aleksandrovich 9 Pankrashkin, Konstantin 9 Verri, Alessandra A. 8 de Oliveira, César R. 8 Kondej, Sylwia 8 Tušek, Matěj 7 Briet, Philippe 7 Lu, Zhiqin 7 Ourmiéres-Bonafos, Thomas 6 Behrndt, Jussi 6 Bucur, Dorin 6 Cardone, Giuseppe 6 Cossetti, Lucrezia 6 Kennedy, James Bernard 5 Dauge, Monique 5 Lampart, Jonas 5 Laugesen, Richard Snyder 5 Leonardi, Gian Paolo 5 Popoff, Nicolas 5 Royer, Julien 5 Saracco, Giorgio 4 Bagarello, Fabio 4 Cassano, Biagio 4 Grillo, Gabriele 4 Ibrogimov, Orif O. 4 Nitsch, Carlo 4 Raikov, Georgi D. 4 Ružička, František 4 Teufel, Stefan 4 Trombetti, Cristina 4 Viola, Joe 3 Barseghyan, Diana 3 Bebiano, Natália Isabel Quadros 3 Bouchitté, Guy 3 Cazacu, Cristian M. 3 Cuenin, Jean-Claude 3 Ergun, Ebru 3 Felli, Veronica 3 Gadyl’shin, Rustem R. 3 Grushin, V. V. 3 Haag, Stefan 3 Helffer, Bernard 3 Hussein, Amru 3 Jex, Michal 3 Kachmar, Ayman 3 Kuzhel, Sergei 3 Lin, Christopher H. 3 Mamani, Carlos R. 3 Mascarenhas, Maria-Luisa 3 Mityagin, Boris Samuilovich 3 Najar, Hatem 3 Paoli, Gloria 3 Rohleder, Jonathan 3 Ruotsalainen, Keijo Matti 3 Soccorsi, Eric 3 Tater, Miloš 2 Bakharev, Fedor L’vovich 2 Beck, Thomas L. 2 Bobkov, Vladimir E. 2 Bonnaillie-Noël, Virginie 2 Boulton, Lyonell S. 2 Brandolini, Barbara 2 Bruneau, Vincent 2 Bunoiu, Renata 2 Cao, Xinlin 2 Cardoulis, Laure 2 Charalambous, Nelia 2 Cito, Simone 2 Cristofol, Michel 2 D’Ancona, Piero 2 Diao, Huaian 2 Ekholm, Tomas 2 Fernández, Francisco Marcelo 2 Ferone, Vincenzo 2 Fragalà, Ilaria 2 Fring, Andreas 2 Gómez, Delfina 2 Hasnaoui, Abdelhalim 2 Holzmann, Markus 2 Johnson, Edward Robert 2 Kaoullas, George 2 Kirsch, Werner 2 Kolb, Martin 2 Lang, Robin 2 Langer, Matthias 2 Laptev, Ari 2 Liu, Hongyu 2 Loss, Michael 2 Miranda, Pablo L. 2 Mostafazadeh, Ali ...and 282 more Authors all top 5 Cited in 126 Serials 39 Journal of Mathematical Physics 21 Journal of Differential Equations 12 Journal of Functional Analysis 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Annales Henri Poincaré 11 Journal of Mathematical Analysis and Applications 10 International Journal of Theoretical Physics 10 Letters in Mathematical Physics 8 Physics Letters. A 8 Integral Equations and Operator Theory 8 Communications in Partial Differential Equations 7 SIAM Journal on Mathematical Analysis 6 Communications in Mathematical Physics 6 Reports on Mathematical Physics 6 Reviews in Mathematical Physics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Mathematical Physics, Analysis and Geometry 6 Journal of Spectral Theory 5 Mathematical Notes 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Archiv der Mathematik 5 The Journal of Geometric Analysis 5 Annals of Physics 5 Calculus of Variations and Partial Differential Equations 5 Journal of Physics A: Mathematical and Theoretical 4 Journal d’Analyse Mathématique 4 Mathematische Annalen 4 St. Petersburg Mathematical Journal 4 Proceedings of the Royal Society of London. A. 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Serie Quarta 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Publicacions Matemàtiques 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 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications ...and 26 more Serials all top 5 Cited in 42 Fields 252 Partial differential equations (35-XX) 182 Quantum theory (81-XX) 90 Operator theory (47-XX) 50 Global analysis, analysis on manifolds (58-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 30 Statistical mechanics, structure of matter (82-XX) 25 Ordinary differential equations (34-XX) 25 Optics, electromagnetic theory (78-XX) 15 Functional analysis (46-XX) 12 Mechanics of deformable solids (74-XX) 11 Differential geometry (53-XX) 9 Numerical analysis (65-XX) 8 Functions of a complex variable (30-XX) 7 Real functions (26-XX) 7 Probability theory and stochastic processes (60-XX) 7 Fluid mechanics (76-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 4 Measure and integration (28-XX) 4 Convex and discrete geometry (52-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-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