prof. Mgr. David Krejčiřík Ph.D., DSc.

THE LAPLACIAN WITH COMPLEX MAGNETIC FIELDS

Year of publication

2026

Publication

SIAM Journal on Mathematical Analysis. 2026, 58(1), 66-91. ISSN 0036-1410.

Authors

Krejčiřík, D. Duc, T. N. Raymond, N.

Link

https://doi.org/10.1137/24M1703628

Spectral analysis of Dirac operators for dislocated potentials with a purely imaginary jump

Year of publication

2025

Publication

Journal of Spectral Theory. 2025, 15(3), 1167-1239. ISSN 1664-039X.

Authors

Boulton, L. Krejčiřík, D. Duc, T. N.

Link

https://doi.org/10.4171/JST/567

The relativistic rotated harmonic oscillator

Year of publication

2025

Publication

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2025, 481(2314), ISSN 1364-5021.

Authors

Balmaseda, A. Krejčiřík, D. Perez-Pardo, J. M.

Link

https://doi.org/10.1098/rspa.2024.0920

Curved nonlinear waveguides

Year of publication

2025

Publication

Nonlinear Analysis: Theory, Methods & Applications. 2025, 258 ISSN 0362-546X.

Authors

Baldelli, L. Krejčiřík, D.

Link

https://doi.org/10.1016/j.na.2025.113814

A note on the failure of the Faber-Krahn inequality for the vector Laplacian

Year of publication

2025

Publication

ESAIM: Control, Optimisation and Calculus of Variations. 2025, 31(21), ISSN 1292-8119.

Authors

Krejčiřík, D. Lamberti, P.D. Zaccaron, M.

Link

https://doi.org/10.1051/cocv/2025008

Criticality transition for positive powers of the discrete Laplacian on the half line

Year of publication

2025

Publication

Revista Matemática Iberoamericana. 2025, 41(3), 1173-1200. ISSN 0213-2230.

Authors

Gerhát, B. Krejčiřík, D. Štampach, F.

Link

https://doi.org/10.4171/RMI/1523

Semiclassical asymptotics of the Bloch-Torrey operator in two dimensions

Year of publication

2025

Publication

Journal of the Mathematical Society of Japan. 2025, 77(4), 1047-1081. ISSN 0025-5645.

Authors

Hérau, F. Krejčiřík, D. Raymond, N.

Link

https://doi.org/10.2969/jmsj/93399339

Spectral Determinant for the Wave Equation on an Interval with Dirac Damping

Year of publication

2025

Publication

Integral Equations and Operator Theory. 2025, 97(3), ISSN 0378-620X.

Authors

Krejčiřík, D. Lipovský, J.

Link

https://doi.org/10.1007/s00020-025-02802-0

Dirac operators on the half-line: stability of spectrum and non-relativistic limit

Year of publication

2025

Publication

Journal of Mathematical Analysis and Applications. 2025, 546(2), ISSN 0022-247X.

Authors

Kramár, D. Krejčiřík, D.

Link

https://doi.org/10.1016/j.jmaa.2025.129225

Virtual bound states of the Pauli operator with an Aharonov-Bohm potential

Year of publication

2025

Publication

Reviews in Mathematical Physics. 2025, 37(6), ISSN 0129-055X.

Authors

Fialová, M. Krejčiřík, D.

Link

https://doi.org/10.1142/S0129055X25500114

An improved discrete Rellich inequality on the half-line

Year of publication

2025

Publication

ISRAEL JOURNAL OF MATHEMATICS. 2025, 268(1), 45-72. ISSN 0021-2172.

Authors

Gerhát, B. Krejčiřík, D. Štampach, F.

Link

https://doi.org/10.1007/s11856-025-2790-6

Optimisation and monotonicity of the second Robin eigenvalue on a planar exterior domain

Year of publication

2024

Publication

Calculus of Variations and Partial Differential Equations. 2024, 63(9), ISSN 0944-2669.

Authors

Krejčiřík, D. Lotoreichik, V.

Link

https://doi.org/10.1007/s00526-024-02824-3

Hardy inequalities for magnetic p-Laplacians

Year of publication

2024

Publication

Nonlinearity. 2024, 37(3), ISSN 0951-7715.

Authors

Cazacu, C. Krejčiřík, D. Lam, N. Laptev, A.

Link

https://doi.org/10.1088/1361-6544/ad1aee

Quasi-conical domains with embedded eigenvalues

Year of publication

2024

Publication

Bulletin of the London Mathematical Society. 2024, 56(9), 2969-2981. ISSN 0024-6093.

Authors

Krejčiřík, D. Lotoreichik, V.

Link

https://doi.org/10.1112/blms.13113

Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials

Year of publication

2024

Publication

JOURNAL OF FUNCTIONAL ANALYSIS. 2024, 287(12), ISSN 0022-1236.

Authors

Cossetti, L. Fanelli, L. Krejčiřík, D.

Link

https://doi.org/10.1016/j.jfa.2024.110646

Pseudomodes of Schrödinger operators

Year of publication

2024

Publication

Frontiers in Physics. 2024, 12 ISSN 2296-424X.

Authors

Krejčiřík, D. Siegl, P.

Link

https://doi.org/10.3389/fphy.2024.1479658

Numerical optimisation of Dirac eigenvalues

Year of publication

2024

Publication

Journal of Physics A: Mathematical and Theoretical. 2024, 57(47), ISSN 1751-8113.

Authors

Antunes, P. Bento, F. Krejčiřík, D.

Link

https://doi.org/10.1088/1751-8121/ad8b01

Bound states in soft quantum layers

Year of publication

2024

Publication

Publ. RIMS Kyoto Univ.. 2024, 60(4), 741-766. ISSN 0034-5318.

Authors

Krejčiřík, D. Kriz, J.

Link

https://doi.org/10.4171/PRIMS/60-4-4

Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group

Year of publication

2023

Publication

Communications in Partial Differential Equations. 2023, 48(5), 711-752. ISSN 0360-5302.

Authors

Cassano, B. Franceschi, V. Krejčiřík, D. Prandi, D.

Link

https://doi.org/10.1080/03605302.2023.2191326

Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle

Year of publication

2023

Publication

Applied Mathematics & Optimization. 2023, 88 ISSN 0095-4616.

Authors

Krejčiřík, D. Lotoreichik, V. Vu, T.

Link

https://doi.org/10.1007/s00245-023-10033-1

Spectrum of the wave equation with Dirac damping on a non-compact star graph

Year of publication

2023

Publication

Proceedings of the American Mathematical Society. 2023, 151(11), 4673-4691. ISSN 0002-9939.

Authors

Krejčiřík, D. Royer, J.

Link

https://doi.org/10.1090/proc/16412

Complex-self-adjointness

Year of publication

2023

Publication

Analysis and Mathematical Physics. 2023, 13(6), ISSN 1664-2368.

Authors

Camara, C. Krejčiřík, D.

Link

https://doi.org/10.1007/s13324-022-00740-3

Stark-localization as a probe of nanostructure geometry

Year of publication

2022

Publication

New Journal of Physics. 2022, 24 ISSN 1367-2630.

Authors

Pedersen, T. Cornean, H. Krejčiřík, D. Raymond, N. Stockmeyer, E.

Link

https://doi.org/10.1088/1367-2630/ac8b29

Spectral enclosures and stability for non-self-adjoint discrete Schrödinger operators on the half-line

Year of publication

2022

Publication

Bulletin of the London Mathematical Society. 2022, 54(6), 2379-2403. ISSN 0024-6093.

Authors

Krejčiřík, D. Laptev, A. Štampach, F.

Link

https://doi.org/10.1112/blms.12700