Edit Profile (opens in new tab) Krejčiřík, David Co-Author Distance Author ID: krejcirik.david Published as: Krejčiřík, David; Krejčiřík, D.; Krejcirík, D. more...less External Links: MGP Videos: carmin.tv Documents Indexed: 124 Publications since 1999, including 18 Additional arXiv Preprints Co-Authors: 83 Co-Authors with 112 Joint Publications 1,595 Co-Co-Authors all top 5 Co-Authors 12 single-authored 11 Freitas, Pedro 11 Siegl, Petr 8 Lotoreichik, Vladimir 7 Exner, Pavel 7 Fanelli, Luca 7 Raymond, Nicolas 5 Briet, Philippe 5 Štampach, František 4 Cossetti, Lucrezia 4 Kříž, Jan 4 Laptev, Ari 4 Tušek, Matěj 3 Antunes, Pedro Ricardo Simão 3 Borisov, Denis Ivanovich 3 Duc, Tho Nguyen 3 Duclos, Pierre 3 Kolb, Martin 3 Kondej, Sylwia 3 Royer, Julien 3 Vega, Luis 2 Cassano, Biagio 2 Cazacu, Cristian M. 2 Gerhat, Borbala 2 Ibrogimov, Orif O. 2 Kovařík, Hynek 2 Ourmiéres-Bonafos, Thomas 2 Şediváková, Helena 2 Tater, Miloš 2 Tiedra de Aldecoa, Rafael 2 Zahradová, Kateřina 2 Znojil, Miloslav 2 Zuazua, Enrique 1 Abdou-Soimadou, Hamza 1 Arrieta, José M. 1 Baldelli, Laura 1 Behrndt, Jussi 1 Bento, Francisco 1 Bíla, Hynek 1 Borrelli, William 1 Boulton, Lyonell 1 Brandolini, Barbara 1 Câmara, Maria Cristina 1 Carron, Gilles 1 Chenaud, B. 1 Chiacchio, Francesco 1 Cornean, Horia D. 1 D’Ancona, Piero 1 Dittrich, Jaroslav 1 Ekholm, Tomas 1 Fraas, Martin 1 Franceschi, Valentina 1 Gadyl’shin, Rustem R. 1 Hammedi, Hiba 1 Hansmann, Marcel 1 Henry, Raphaël 1 Hérau, Frédéric 1 Hernandez-Coronado, H. 1 Hussein, Amru 1 Jakubský, Vít 1 Kalvoda, Tomáš 1 Kawohl, Bernd 1 Kirsch, Werner 1 Kramár, David 1 Kurimaiová, Tereza 1 Lam, Nguyen 1 Lamberti, Pier Domenico 1 Leonardi, Gian Paolo 1 Lipovský, Jiří 1 Lu, Zhiqin 1 Pankrashkin, Konstantin 1 Pedersen, Thomas Garm 1 Pinchover, Yehuda 1 Prandi, Dario 1 Pratelli, Aldo 1 Raikov, Georgi D. 1 Schiavone, Nico Michele 1 Stockmeyer, Edgardo 1 Trombetti, Cristina 1 Viola, Joe 1 Vlachopulos, Petr 1 Vu, Tuyen V. 1 Zaccaron, Michele 1 Železný, Jakub all top 5 Serials 6 Journal of Physics A: Mathematical and Theoretical 5 Journal of Mathematical Physics 5 Annales Henri Poincaré 4 Journal of Differential Equations 3 Integral Equations and Operator Theory 3 Journal of Functional Analysis 3 Communications in Partial Differential Equations 3 Journal of Physics A: Mathematical and General 3 Journal of Spectral Theory 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Physics Letters. A 2 Reviews in Mathematical Physics 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 SIAM Journal on Mathematical Analysis 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 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 Analysis and Mathematical Physics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 77 Partial differential equations (35-XX) 62 Quantum theory (81-XX) 32 Operator theory (47-XX) 21 Global analysis, analysis on manifolds (58-XX) 10 Ordinary differential equations (34-XX) 7 Differential geometry (53-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Probability theory and stochastic processes (60-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,305 times in 571 Documents Cited by ▼ Year ▼ Pseudospectra in non-Hermitian quantum mechanics. Zbl 1328.81116 Krejčiřík, D.; Siegl, P.; Tater, M.; Viola, J. 58 2015 The first Robin eigenvalue with negative boundary parameter. Zbl 1317.35151 Freitas, Pedro; Krejčiřík, David 58 2015 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058 Krejcirík, D.; Bíla, H.; Znojil, M. 49 2006 On the spectrum of curved planar waveguides. Zbl 1113.35143 Krejčiřík, David; Kříž, Jan 48 2005 Geometrically induced discrete spectrum in curved tubes. Zbl 1078.81022 Chenaud, B.; Duclos, P.; Freitas, P.; Krejčiřík, D. 44 2005 Bound states in curved quantum layers. Zbl 0988.81034 Duclos, P.; Exner, P.; Krejčiřík, D. 43 2001 A Hardy inequality in twisted waveguides. Zbl 1167.35026 Ekholm, T.; Kovařík, H.; Krejčiřík, D. 42 2008 Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284 Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David 37 2017 Topologically nontrivial quantum layers. Zbl 1070.58025 Carron, G.; Exner, P.; Krejčiřík, D. 33 2004 Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296 Fanelli, Luca; Krejčiřík, David; Vega, Luis 33 2018 Bound states in weakly deformed strips and layers. Zbl 1043.35046 Borisov, D.; Exner, P.; Gadyl’shin, R.; Krejčiřík, D. 32 2001 \(\mathcal {PT}\)-symmetric waveguides. Zbl 1178.35141 Borisov, Denis; Krejčiřík, David 31 2008 The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions. Zbl 1253.58015 Krejčiřík, David; Şediváková, Helena 24 2012 Location of the nodal set for thin curved tubes. Zbl 1187.35142 Freitas, P.; Krejčiřík, D. 23 2008 Twisting versus binding in quantum waveguides. Zbl 1165.81021 Krejčiřík, David 23 2008 The Hardy inequality and the heat equation in twisted tubes. Zbl 1217.35029 Krejčiřík, David; Zuazua, Enrique 22 2010 Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184 Fanelli, Luca; Krejčiřík, David; Vega, Luis 22 2018 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223 Krejčiřík, David; Lotoreichik, Vladimir 21 2018 Location of the essential spectrum in curved quantum layers. Zbl 1301.82073 Krejčiřík, David; Lu, Zhiqin 19 2014 Non-self-adjoint graphs. Zbl 1312.34068 Hussein, Amru; Krejčiřík, David; Siegl, Petr 19 2015 Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions. Zbl 1173.35618 Krejčiřík, David 18 2009 On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators. Zbl 1410.34086 Krejčiřík, David; Siegl, Petr; Železný, Jakub 18 2014 The Cheeger constant of curved strips. Zbl 1247.28003 Krejčiřík, David; Pratelli, Aldo 18 2011 The Hardy inequality and the heat equation with magnetic field in any dimension. Zbl 1353.35244 Cazacu, Cristian; Krejčiřík, David 18 2016 Elements of spectral theory without the spectral theorem. Zbl 1350.81012 Krejčiřík, David; Siegl, Petr 18 2015 Calculation of the metric in the Hilbert space of a \({\mathcal P}{\mathcal T} \)-symmetric model via the spectral theorem. Zbl 1142.81008 Krejčiřík, David 17 2008 A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains. Zbl 1147.58030 Freitas, Pedro; Krejčiřík, David 16 2008 The nature of the essential spectrum in curved quantum waveguides. Zbl 1062.81046 Krejčiřík, David; Tiedra de Aldecoa, Rafael 15 2004 Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators. Zbl 1419.35138 Fanelli, Luca; Krejčiřík, David 15 2019 Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers. Zbl 1455.81022 Cossetti, Lucrezia; Fanelli, Luca; Krejčiřík, David 15 2020 \({\mathcal {PT}}\)-symmetric models in curved manifolds. Zbl 1207.81030 Krejčiřík, David; Siegl, Petr 14 2010 Quantum strips on surfaces. Zbl 1016.58015 Krejčiřík, David 13 2003 The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions. Zbl 1241.47042 Borisov, Denis; Krejčiřík, David 13 2012 Perfect transmission scattering as a \(\mathcal{PT}\)-symmetric spectral problem. Zbl 1242.81127 Hernandez-Coronado, H.; Krejčiřík, D.; Siegl, P. 13 2011 The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces. Zbl 1337.35042 Krejčiřík, D.; Raymond, N.; Tušek, M. 13 2015 Pseudo-modes for Schrödinger operators with complex potentials. Zbl 1417.34207 Krejčiřík, David; Siegl, Petr 13 2019 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147 Krejčiřík, David; Lotoreichik, Vladimir 13 2020 Location of eigenvalues of non-self-adjoint discrete Dirac operators. Zbl 1454.47033 Cassano, B.; Ibrogimov, O. O.; Krejčiřík, D.; Štampach, F. 13 2020 Hardy inequalities in strips on ruled surfaces. Zbl 1114.58027 Krejčiřík, David 12 2006 The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097 Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav 12 2018 Magnetic effects in curved quantum waveguides. Zbl 1301.81068 Krejčiřík, David; Raymond, Nicolas 11 2014 Non-Hermitian spectral effects in a \({\mathcal P\mathcal T} \)-symmetric waveguide. Zbl 1140.81386 Krejčiřík, D.; Tater, M. 11 2008 The improved decay rate for the heat semigroup with local magnetic field in the plane. Zbl 1270.35108 Krejčiřík, David 11 2013 Instability results for the damped wave equation in unbounded domains. Zbl 1075.35018 Freitas, P.; Krejčiřík, D. 10 2005 Location of hot spots in thin curved strips. Zbl 1407.35069 Krejčiřík, David; Tušek, Matěj 10 2019 The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide. Zbl 1213.35107 Krejčiřík, David; Zuazua, Enrique 9 2011 The Brownian traveller on manifolds. Zbl 1297.35253 Kolb, Martin; Krejčiřík, David 9 2014 Reduction of dimension as a consequence of norm-resolvent convergence and applications. Zbl 1394.81124 Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P. 9 2018 On some strong ratio limit theorems for heat kernels. Zbl 1198.35119 Fraas, Martin; Krejčiřík, David; Pinchover, Yehuda 9 2010 Waveguides with combined Dirichlet and Robin boundary conditions. Zbl 1151.35061 Freitas, P.; Krejčiřík, D. 8 2006 Bound states in mildly curved layers. Zbl 0981.81022 Exner, P.; Krejčiřík, D. 8 2001 A lower bound to the spectral threshold in curved tubes. Zbl 1330.35360 Exner, P.; Freitas, P.; Krejčiřík, D. 8 2004 A Hardy inequality in a twisted Dirichlet-Neumann waveguide. Zbl 1171.35084 Kovařík, H.; Krejčiřík, D. 8 2008 Qualitative analysis of trapped Dirac fermions in graphene. Zbl 1343.82073 Jakubský, Vít; Krejčiřík, David 8 2014 Non-accretive Schrödinger operators and exponential decay of their eigenfunctions. Zbl 06808419 Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P. 8 2017 Pseudospectra of the Schrödinger operator with a discontinuous complex potential. Zbl 1377.34106 Henry, Raphaël; Krejčiřík, David 8 2017 Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space. Zbl 1471.35095 Cossetti, L.; Krejčiřík, D. 8 2020 On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011 Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis 8 2020 A sharp form of the discrete Hardy inequality and the Keller-Pinchover-Pogorzelski inequality. Zbl 1491.26023 Krejčiřík, David; Štampach, František 8 2022 Waveguides coupled through a semitransparent barrier: A Birman-Schwinger analysis. Zbl 1029.81025 Exner, P.; Krejcirík, D. 7 2001 Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions. Zbl 1340.35239 Krejčiřík, David 7 2014 Hardy inequalities in globally twisted waveguides. Zbl 1327.35458 Briet, Philippe; Hammedi, Hiba; Krejčiřík, David 7 2015 Ruled strips with asymptotically diverging twisting. Zbl 1395.35076 Krejčiřík, David; Tiedra de Aldecoa, Rafael 7 2018 Soft quantum waveguides with an explicit cut-locus. Zbl 1519.81234 Kondej, Sylwia; Krejčiřík, David; Kříž, Jan 7 2021 Complex magnetic fields: an improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness. Zbl 1411.35018 Krejčiřík, David 7 2019 The Pauli equation with complex boundary conditions. Zbl 1263.81166 Kochan, D.; Krejčiřík, D.; Novák, R.; Siegl, P. 7 2012 Waveguides with asymptotically diverging twisting. Zbl 1524.81053 Krejčiřík, David 6 2015 Spectral analysis of a quantum system with a double line singular interaction. Zbl 1286.81081 Kondej, Sylwia; Krejčiřík, David 6 2013 From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation. Zbl 1462.35223 Krejčiřík, David; Kurimaiová, Tereza 6 2020 Unbounded planar domains whose second nodal line does not touch the boundary. Zbl 1149.35063 Freitas, Pedro; Krejčiřík, David 5 2007 Nodal sets of thin curved layers. Zbl 1323.35109 Krejčiřík, David; Tušek, Matěj 5 2015 Geometric versus spectral convergence for the Neumann Laplacian under exterior perturbations of the domain. Zbl 1196.35148 Arrieta, J. M.; Krejčiřík, D. 5 2010 Spectral enclosures and stability for non-self-adjoint discrete Schrödinger operators on the half-line. Zbl 1540.47058 Krejčiřík, David; Laptev, Ari; Štampach, František 5 2022 Quantum strips in higher dimensions. Zbl 1462.58016 Krejčiřík, David; Zahradová, Kateřina 5 2020 The Cheeger constant of curved tubes. Zbl 1415.49027 Krejčiřík, David; Leonardi, Gian Paolo; Vlachopulos, Petr 5 2019 Spectral properties of relativistic quantum waveguides. Zbl 1505.35277 Borrelli, William; Briet, Philippe; Krejčiřík, David; Ourmières-Bonafos, Thomas 5 2022 Spectral analysis of the diffusion operator with random jumps from the boundary. Zbl 1352.60096 Kolb, Martin; Krejčiřík, David 4 2016 The equality case in a Poincaré-Wirtinger type inequality. Zbl 1348.35150 Brandolini, Barbara; Chiacchio, Francesco; Krejčiřík, David; Trombetti, Cristina 4 2016 Spectral analysis of sheared nanoribbons. Zbl 1415.35295 Briet, Philippe; Abdou-Soimadou, Hamza; Krejčiřík, David 4 2019 Spectral optimization of Dirac rectangles. Zbl 1507.81090 Briet, Philippe; Krejčiřík, David 4 2022 The abstract Birman-Schwinger principle and spectral stability. Zbl 07637560 Hansmann, Marcel; Krejčiřík, David 4 2022 Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions. Zbl 1523.35147 Ibrogimov, Orif O.; Krejčiřík, David; Laptev, Ari 4 2021 Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators. Zbl 1476.35152 D’Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N. M. 4 2022 Spectral transitions for Aharonov-Bohm Laplacians on conical layers. Zbl 1436.35267 Krejčiřík, D.; Lotoreichik, V.; Ourmières-Bonafos, T. 4 2019 An indefinite Laplacian on a rectangle. Zbl 1402.35184 Behrndt, Jussi; Krejčiřík, David 3 2018 The Hardy inequality and the heat flow in curved wedges. Zbl 1339.35136 Krejčiřík, David 3 2016 Asymptotic spectral analysis in colliding leaky quantum layers. Zbl 1355.82052 Kondej, Sylwia; Krejčiřík, David 3 2017 Complex-self-adjointness. Zbl 07640518 Câmara, M. Cristina; Krejčiřík, David 3 2023 Lifshits tails for randomly twisted quantum waveguides. Zbl 1395.82107 Kirsch, Werner; Krejčiřík, David; Raikov, Georgi 2 2018 Pseudomodes for non-self-adjoint Dirac operators. Zbl 1492.81065 Krejčiřík, David; Duc, Tho Nguyen 2 2022 Alexandrov’s isodiametric conjecture and the cut locus of a surface. Zbl 1341.52012 Freitas, Pedro; Krejčiřík, David 1 2015 Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide. Zbl 1431.81067 Briet, Ph.; Dittrich, J.; Krejčiřík, D. 1 2020 Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group. Zbl 1518.35601 Cassano, Biagio; Franceschi, Valentina; Krejčiřík, David; Prandi, Dario 1 2023 Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle. Zbl 1521.35125 Krejčiřík, David; Lotoreichik, Vladimir; Vu, Tuyen 1 2023 Spectrum of the wave equation with Dirac damping on a non-compact star graph. Zbl 1523.35270 Krejčiřík, David; Royer, Julien 1 2023 Hardy inequalities for magnetic \(p\)-Laplacians. Zbl 1537.35017 Cazacu, Cristian; Krejčiřík, David; Lam, Nguyen; Laptev, Ari 1 2024 Correction to: “Spectral analysis of the diffusion operator with random jumps from the boundary”. Zbl 1440.60060 Kolb, Martin; Krejčiřík, David 1 2020 On the two-dimensional quantum confined Stark effect in strong electric fields. Zbl 1494.35136 Cornean, Horia; Krejčiřík, David; Pedersen, Thomas G.; Raymond, Nicolas; Stockmeyer, Edgardo 1 2022 Hardy inequalities for magnetic \(p\)-Laplacians. Zbl 1537.35017 Cazacu, Cristian; Krejčiřík, David; Lam, Nguyen; Laptev, Ari 1 2024 Complex-self-adjointness. Zbl 07640518 Câmara, M. Cristina; Krejčiřík, David 3 2023 Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group. Zbl 1518.35601 Cassano, Biagio; Franceschi, Valentina; Krejčiřík, David; Prandi, Dario 1 2023 Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle. Zbl 1521.35125 Krejčiřík, David; Lotoreichik, Vladimir; Vu, Tuyen 1 2023 Spectrum of the wave equation with Dirac damping on a non-compact star graph. Zbl 1523.35270 Krejčiřík, David; Royer, Julien 1 2023 A sharp form of the discrete Hardy inequality and the Keller-Pinchover-Pogorzelski inequality. Zbl 1491.26023 Krejčiřík, David; Štampach, František 8 2022 Spectral enclosures and stability for non-self-adjoint discrete Schrödinger operators on the half-line. Zbl 1540.47058 Krejčiřík, David; Laptev, Ari; Štampach, František 5 2022 Spectral properties of relativistic quantum waveguides. Zbl 1505.35277 Borrelli, William; Briet, Philippe; Krejčiřík, David; Ourmières-Bonafos, Thomas 5 2022 Spectral optimization of Dirac rectangles. Zbl 1507.81090 Briet, Philippe; Krejčiřík, David 4 2022 The abstract Birman-Schwinger principle and spectral stability. Zbl 07637560 Hansmann, Marcel; Krejčiřík, David 4 2022 Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators. Zbl 1476.35152 D’Ancona, P.; Fanelli, L.; Krejčiřík, D.; Schiavone, N. M. 4 2022 Pseudomodes for non-self-adjoint Dirac operators. Zbl 1492.81065 Krejčiřík, David; Duc, Tho Nguyen 2 2022 On the two-dimensional quantum confined Stark effect in strong electric fields. Zbl 1494.35136 Cornean, Horia; Krejčiřík, David; Pedersen, Thomas G.; Raymond, Nicolas; Stockmeyer, Edgardo 1 2022 Soft quantum waveguides with an explicit cut-locus. Zbl 1519.81234 Kondej, Sylwia; Krejčiřík, David; Kříž, Jan 7 2021 Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions. Zbl 1523.35147 Ibrogimov, Orif O.; Krejčiřík, David; Laptev, Ari 4 2021 Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers. Zbl 1455.81022 Cossetti, Lucrezia; Fanelli, Luca; Krejčiřík, David 15 2020 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions. Zbl 1456.35147 Krejčiřík, David; Lotoreichik, Vladimir 13 2020 Location of eigenvalues of non-self-adjoint discrete Dirac operators. Zbl 1454.47033 Cassano, B.; Ibrogimov, O. O.; Krejčiřík, D.; Štampach, F. 13 2020 Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space. Zbl 1471.35095 Cossetti, L.; Krejčiřík, D. 8 2020 On the improvement of the Hardy inequality due to singular magnetic fields. Zbl 1450.35011 Fanelli, Luca; Krejčiřík, David; Laptev, Ari; Vega, Luis 8 2020 From Lieb-Thirring inequalities to spectral enclosures for the damped wave equation. Zbl 1462.35223 Krejčiřík, David; Kurimaiová, Tereza 6 2020 Quantum strips in higher dimensions. Zbl 1462.58016 Krejčiřík, David; Zahradová, Kateřina 5 2020 Absolute continuity of the spectrum in a twisted Dirichlet-Neumann waveguide. Zbl 1431.81067 Briet, Ph.; Dittrich, J.; Krejčiřík, D. 1 2020 Correction to: “Spectral analysis of the diffusion operator with random jumps from the boundary”. Zbl 1440.60060 Kolb, Martin; Krejčiřík, David 1 2020 Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators. Zbl 1419.35138 Fanelli, Luca; Krejčiřík, David 15 2019 Pseudo-modes for Schrödinger operators with complex potentials. Zbl 1417.34207 Krejčiřík, David; Siegl, Petr 13 2019 Location of hot spots in thin curved strips. Zbl 1407.35069 Krejčiřík, David; Tušek, Matěj 10 2019 Complex magnetic fields: an improved Hardy-Laptev-Weidl inequality and quasi-self-adjointness. Zbl 1411.35018 Krejčiřík, David 7 2019 The Cheeger constant of curved tubes. Zbl 1415.49027 Krejčiřík, David; Leonardi, Gian Paolo; Vlachopulos, Petr 5 2019 Spectral analysis of sheared nanoribbons. Zbl 1415.35295 Briet, Philippe; Abdou-Soimadou, Hamza; Krejčiřík, David 4 2019 Spectral transitions for Aharonov-Bohm Laplacians on conical layers. Zbl 1436.35267 Krejčiřík, D.; Lotoreichik, V.; Ourmières-Bonafos, T. 4 2019 Spectral stability of Schrödinger operators with subordinated complex potentials. Zbl 1391.35296 Fanelli, Luca; Krejčiřík, David; Vega, Luis 33 2018 Absence of eigenvalues of two-dimensional magnetic Schrödinger operators. Zbl 1403.35184 Fanelli, Luca; Krejčiřík, David; Vega, Luis 22 2018 Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. Zbl 1401.35223 Krejčiřík, David; Lotoreichik, Vladimir 21 2018 The minimally anisotropic metric operator in quasi-Hermitian quantum mechanics. Zbl 1407.81097 Krejčiřík, David; Lotoreichik, Vladimir; Znojil, Miloslav 12 2018 Reduction of dimension as a consequence of norm-resolvent convergence and applications. Zbl 1394.81124 Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P. 9 2018 Ruled strips with asymptotically diverging twisting. Zbl 1395.35076 Krejčiřík, David; Tiedra de Aldecoa, Rafael 7 2018 An indefinite Laplacian on a rectangle. Zbl 1402.35184 Behrndt, Jussi; Krejčiřík, David 3 2018 Lifshits tails for randomly twisted quantum waveguides. Zbl 1395.82107 Kirsch, Werner; Krejčiřík, David; Raikov, Georgi 2 2018 Bounds and extremal domains for Robin eigenvalues with negative boundary parameter. Zbl 1375.35284 Antunes, Pedro R. S.; Freitas, Pedro; Krejčiřík, David 37 2017 Non-accretive Schrödinger operators and exponential decay of their eigenfunctions. Zbl 06808419 Krejčiřík, D.; Raymond, N.; Royer, J.; Siegl, P. 8 2017 Pseudospectra of the Schrödinger operator with a discontinuous complex potential. Zbl 1377.34106 Henry, Raphaël; Krejčiřík, David 8 2017 Asymptotic spectral analysis in colliding leaky quantum layers. Zbl 1355.82052 Kondej, Sylwia; Krejčiřík, David 3 2017 The Hardy inequality and the heat equation with magnetic field in any dimension. Zbl 1353.35244 Cazacu, Cristian; Krejčiřík, David 18 2016 Spectral analysis of the diffusion operator with random jumps from the boundary. Zbl 1352.60096 Kolb, Martin; Krejčiřík, David 4 2016 The equality case in a Poincaré-Wirtinger type inequality. Zbl 1348.35150 Brandolini, Barbara; Chiacchio, Francesco; Krejčiřík, David; Trombetti, Cristina 4 2016 The Hardy inequality and the heat flow in curved wedges. Zbl 1339.35136 Krejčiřík, David 3 2016 Pseudospectra in non-Hermitian quantum mechanics. Zbl 1328.81116 Krejčiřík, D.; Siegl, P.; Tater, M.; Viola, J. 58 2015 The first Robin eigenvalue with negative boundary parameter. Zbl 1317.35151 Freitas, Pedro; Krejčiřík, David 58 2015 Non-self-adjoint graphs. Zbl 1312.34068 Hussein, Amru; Krejčiřík, David; Siegl, Petr 19 2015 Elements of spectral theory without the spectral theorem. Zbl 1350.81012 Krejčiřík, David; Siegl, Petr 18 2015 The magnetic Laplacian in shrinking tubular neighborhoods of hypersurfaces. Zbl 1337.35042 Krejčiřík, D.; Raymond, N.; Tušek, M. 13 2015 Hardy inequalities in globally twisted waveguides. Zbl 1327.35458 Briet, Philippe; Hammedi, Hiba; Krejčiřík, David 7 2015 Waveguides with asymptotically diverging twisting. Zbl 1524.81053 Krejčiřík, David 6 2015 Nodal sets of thin curved layers. Zbl 1323.35109 Krejčiřík, David; Tušek, Matěj 5 2015 Alexandrov’s isodiametric conjecture and the cut locus of a surface. Zbl 1341.52012 Freitas, Pedro; Krejčiřík, David 1 2015 Location of the essential spectrum in curved quantum layers. Zbl 1301.82073 Krejčiřík, David; Lu, Zhiqin 19 2014 On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators. Zbl 1410.34086 Krejčiřík, David; Siegl, Petr; Železný, Jakub 18 2014 Magnetic effects in curved quantum waveguides. Zbl 1301.81068 Krejčiřík, David; Raymond, Nicolas 11 2014 The Brownian traveller on manifolds. Zbl 1297.35253 Kolb, Martin; Krejčiřík, David 9 2014 Qualitative analysis of trapped Dirac fermions in graphene. Zbl 1343.82073 Jakubský, Vít; Krejčiřík, David 8 2014 Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions. Zbl 1340.35239 Krejčiřík, David 7 2014 The improved decay rate for the heat semigroup with local magnetic field in the plane. Zbl 1270.35108 Krejčiřík, David 11 2013 Spectral analysis of a quantum system with a double line singular interaction. Zbl 1286.81081 Kondej, Sylwia; Krejčiřík, David 6 2013 The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions. Zbl 1253.58015 Krejčiřík, David; Şediváková, Helena 24 2012 The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions. Zbl 1241.47042 Borisov, Denis; Krejčiřík, David 13 2012 The Pauli equation with complex boundary conditions. Zbl 1263.81166 Kochan, D.; Krejčiřík, D.; Novák, R.; Siegl, P. 7 2012 The Cheeger constant of curved strips. Zbl 1247.28003 Krejčiřík, David; Pratelli, Aldo 18 2011 Perfect transmission scattering as a \(\mathcal{PT}\)-symmetric spectral problem. Zbl 1242.81127 Hernandez-Coronado, H.; Krejčiřík, D.; Siegl, P. 13 2011 The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide. Zbl 1213.35107 Krejčiřík, David; Zuazua, Enrique 9 2011 The Hardy inequality and the heat equation in twisted tubes. Zbl 1217.35029 Krejčiřík, David; Zuazua, Enrique 22 2010 \({\mathcal {PT}}\)-symmetric models in curved manifolds. Zbl 1207.81030 Krejčiřík, David; Siegl, Petr 14 2010 On some strong ratio limit theorems for heat kernels. Zbl 1198.35119 Fraas, Martin; Krejčiřík, David; Pinchover, Yehuda 9 2010 Geometric versus spectral convergence for the Neumann Laplacian under exterior perturbations of the domain. Zbl 1196.35148 Arrieta, J. M.; Krejčiřík, D. 5 2010 Spectrum of the Laplacian in a narrow curved strip with combined Dirichlet and Neumann boundary conditions. Zbl 1173.35618 Krejčiřík, David 18 2009 A Hardy inequality in twisted waveguides. Zbl 1167.35026 Ekholm, T.; Kovařík, H.; Krejčiřík, D. 42 2008 \(\mathcal {PT}\)-symmetric waveguides. Zbl 1178.35141 Borisov, Denis; Krejčiřík, David 31 2008 Location of the nodal set for thin curved tubes. Zbl 1187.35142 Freitas, P.; Krejčiřík, D. 23 2008 Twisting versus binding in quantum waveguides. Zbl 1165.81021 Krejčiřík, David 23 2008 Calculation of the metric in the Hilbert space of a \({\mathcal P}{\mathcal T} \)-symmetric model via the spectral theorem. Zbl 1142.81008 Krejčiřík, David 17 2008 A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains. Zbl 1147.58030 Freitas, Pedro; Krejčiřík, David 16 2008 Non-Hermitian spectral effects in a \({\mathcal P\mathcal T} \)-symmetric waveguide. Zbl 1140.81386 Krejčiřík, D.; Tater, M. 11 2008 A Hardy inequality in a twisted Dirichlet-Neumann waveguide. Zbl 1171.35084 Kovařík, H.; Krejčiřík, D. 8 2008 Unbounded planar domains whose second nodal line does not touch the boundary. Zbl 1149.35063 Freitas, Pedro; Krejčiřík, David 5 2007 Closed formula for the metric in the Hilbert space of a \(\mathcal{PT}\)-symmetric model. Zbl 1117.81058 Krejcirík, D.; Bíla, H.; Znojil, M. 49 2006 Hardy inequalities in strips on ruled surfaces. Zbl 1114.58027 Krejčiřík, David 12 2006 Waveguides with combined Dirichlet and Robin boundary conditions. Zbl 1151.35061 Freitas, P.; Krejčiřík, D. 8 2006 On the spectrum of curved planar waveguides. Zbl 1113.35143 Krejčiřík, David; Kříž, Jan 48 2005 Geometrically induced discrete spectrum in curved tubes. Zbl 1078.81022 Chenaud, B.; Duclos, P.; Freitas, P.; Krejčiřík, D. 44 2005 Instability results for the damped wave equation in unbounded domains. Zbl 1075.35018 Freitas, P.; Krejčiřík, D. 10 2005 Topologically nontrivial quantum layers. Zbl 1070.58025 Carron, G.; Exner, P.; Krejčiřík, D. 33 2004 The nature of the essential spectrum in curved quantum waveguides. Zbl 1062.81046 Krejčiřík, David; Tiedra de Aldecoa, Rafael 15 2004 A lower bound to the spectral threshold in curved tubes. Zbl 1330.35360 Exner, P.; Freitas, P.; Krejčiřík, D. 8 2004 Quantum strips on surfaces. Zbl 1016.58015 Krejčiřík, David 13 2003 Bound states in curved quantum layers. Zbl 0988.81034 Duclos, P.; Exner, P.; Krejčiřík, D. 43 2001 Bound states in weakly deformed strips and layers. Zbl 1043.35046 Borisov, D.; Exner, P.; Gadyl’shin, R.; Krejčiřík, D. 32 2001 Bound states in mildly curved layers. Zbl 0981.81022 Exner, P.; Krejčiřík, D. 8 2001 Waveguides coupled through a semitransparent barrier: A Birman-Schwinger analysis. Zbl 1029.81025 Exner, P.; Krejcirík, D. 7 2001 all cited Publications top 5 cited Publications all top 5 Cited by 577 Authors 70 Krejčiřík, David 31 Exner, Pavel 28 Lotoreichik, Vladimir 22 Znojil, Miloslav 21 Siegl, Petr 17 Borisov, Denis Ivanovich 15 Kovařík, Hynek 14 Verri, Alessandra A. 13 Raymond, Nicolas 12 Kondej, Sylwia 12 Pankrashkin, Konstantin 11 Fanelli, Luca 11 Freitas, Pedro 10 Nazarov, Sergeĭ Aleksandrovich 10 Ourmiéres-Bonafos, Thomas 10 Royer, Julien 10 Tušek, Matěj 9 Briet, Philippe 9 de Oliveira, César R. 8 Bucur, Dorin 8 Cossetti, Lucrezia 7 Bagarello, Fabio 7 Behrndt, Jussi 7 Cazacu, Cristian M. 7 Lu, Zhiqin 7 Nitsch, Carlo 7 Trombetti, Cristina 6 Cardone, Giuseppe 6 Chiacchio, Francesco 6 Kennedy, James Bernard 6 Laugesen, Richard Snyder 6 Saracco, Giorgio 5 Cassano, Biagio 5 Dauge, Monique 5 Della Pietra, Francesco 5 Holzmann, Markus 5 Ibrogimov, Orif O. 5 Lampart, Jonas 5 Laptev, Ari 5 Leonardi, Gian Paolo 5 Popoff, Nicolas 5 Ružička, František 5 Teufel, Stefan 5 Viola, Joe 4 Barseghyan, Diana 4 Beck, Thomas L. 4 Brandolini, Barbara 4 Grillo, Gabriele 4 Helffer, Bernard 4 Kachmar, Ayman 4 Kuzhel, Sergei 4 Langford, Jeffrey J. 4 Olendski, Oleg 4 Paoli, Gloria 4 Piscitelli, Gianpaolo 4 Raikov, Georgi D. 4 Rohleder, Jonathan 4 Schiavone, Nico Michele 4 Zuazua, Enrique 3 Bakharev, Fedor L’vovich 3 Bebiano, Natália Isabel Quadros 3 Bouchitté, Guy 3 Boulton, Lyonell 3 Câmara, Maria Cristina 3 Cuenin, Jean-Claude 3 Dittrich, Jaroslav 3 Ergun, Ebru 3 Felli, Veronica 3 Ferone, Vincenzo 3 Fring, Andreas 3 Gadyl’shin, Rustem R. 3 Grushin, V. V. 3 Haag, Stefan 3 Hussein, Amru 3 Ignat, Liviu I. 3 Jex, Michal 3 Kirsch, Werner 3 Lam, Nguyen 3 Lin, Christopher H. 3 Mamani, Carlos R. 3 Marletta, Marco 3 Mascarenhas, Maria-Luisa 3 Miranda, Pablo L. 3 Mityagin, Boris Samuilovich 3 Miura, Tatsu-Hiko 3 Najar, Hatem 3 Pinchover, Yehuda 3 Ruotsalainen, Keijo Matti 3 Soccorsi, Eric 3 Štampach, František 3 Tater, Miloš 3 Vega, Luis 2 Amato, Vincenzo 2 Amorim, Rafael T. 2 Antunes, Pedro Ricardo Simão 2 Bauer, Benjamin 2 Bobkov, Vladimir E. 2 Bonnaillie-Noël, Virginie 2 Borrelli, William 2 Brasco, Lorenzo ...and 477 more Authors all top 5 Cited in 159 Serials 50 Journal of Mathematical Physics 24 Journal of Differential Equations 24 Journal of Physics A: Mathematical and Theoretical 19 Journal of Mathematical Analysis and Applications 17 Journal of Functional Analysis 17 Journal of Spectral Theory 15 Annales Henri Poincaré 14 Physics Letters. A 14 Annals of Physics 13 Letters in Mathematical Physics 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 10 International Journal of Theoretical Physics 10 Integral Equations and Operator Theory 9 Communications in Partial Differential Equations 9 SIAM Journal on Mathematical Analysis 9 Calculus of Variations and Partial Differential Equations 8 Reviews in Mathematical Physics 7 Communications in Mathematical Physics 7 The Journal of Geometric Analysis 7 Mathematical Physics, Analysis and Geometry 6 Journal d’Analyse Mathématique 6 Reports on Mathematical Physics 6 Archiv der Mathematik 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Mathematical Notes 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Asymptotic Analysis 5 Journal of Mathematical Sciences (New York) 4 Bulletin of the London Mathematical Society 4 Mathematische Annalen 4 Mathematische Nachrichten 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Potential Analysis 4 St. Petersburg Mathematical Journal 4 Journal of Convex Analysis 4 Communications in Contemporary Mathematics 4 Communications on Pure and Applied Analysis 4 Complex Analysis and Operator Theory 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Applicable Analysis 3 Mathematical Methods in the Applied Sciences 3 Journal of Computational and Applied Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Oberwolfach Reports 3 Operators and Matrices 3 Banach Journal of Mathematical Analysis 3 Analysis and Mathematical Physics 3 Annalen der Physik 2 Modern Physics Letters A 2 Archive for Rational Mechanics and Analysis 2 Journal of Fluid Mechanics 2 Theoretical and Mathematical Physics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Canadian Journal of Mathematics 2 Manuscripta Mathematica 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 Ricerche di Matematica 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Differential Geometry and its Applications 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Elasticity 2 Linear Algebra and its Applications 2 Russian Journal of Mathematical Physics 2 The Journal of Fourier Analysis and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Evolution Equations 2 Advances in Calculus of Variations 2 Mathematics in Engineering 2 Annales Henri Lebesgue 1 Modern Physics Letters B 1 International Journal of Modern Physics A 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Nonlinearity 1 Nuclear Physics. B 1 Physica A 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Colloquium Mathematicum 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Functional Analysis and its Applications ...and 59 more Serials all top 5 Cited in 46 Fields 363 Partial differential equations (35-XX) 270 Quantum theory (81-XX) 138 Operator theory (47-XX) 68 Global analysis, analysis on manifolds (58-XX) 47 Statistical mechanics, structure of matter (82-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 40 Ordinary differential equations (34-XX) 29 Optics, electromagnetic theory (78-XX) 26 Functional analysis (46-XX) 21 Differential geometry (53-XX) 19 Real functions (26-XX) 19 Mechanics of deformable solids (74-XX) 13 Numerical analysis (65-XX) 11 Probability theory and stochastic processes (60-XX) 10 Functions of a complex variable (30-XX) 10 Fluid mechanics (76-XX) 8 Difference and functional equations (39-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Mechanics of particles and systems (70-XX) 7 Relativity and gravitational theory (83-XX) 6 Measure and integration (28-XX) 6 Special functions (33-XX) 6 Convex and discrete geometry (52-XX) 5 Systems theory; control (93-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Potential theory (31-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year