David Krejcirik

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Full Professor

Czech Technical University in Prague

Czech Republic

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About

David Krejcirik is a Full Professor at the Czech Technical University in Prague. His research areas include curved nonlinear waveguides, Dirac operators, and the study of eigenvalues and criticality transitions in various mathematical physics contexts. Recent articles authored by him delve into topics such as virtual bound states of the Pauli operator, optimisation of eigenvalues, and uniform resolvent estimates for biharmonic operators. He is recognized for his contributions to the theoretical understanding of spectral properties and relevant operators in quantum mechanics.

Recent Grants

Grant: Close

New challenges for spectral theory: geometry, artificial materials and complex fields

Open Date: 2020-01-01

Close Date: 2024-01-01

Grant: Close

Quantum mechanics with non-self-adjoint operators: transition from spectra to pseudospectra

Open Date: 2018-01-01

Close Date: 2020-01-01

Grant: Close

Extremal spectral quantities and related problems

Open Date: 2016-01-01

Close Date: 2019-01-01

Articles (20)

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2020

Collaborators (7)

Matěj Tušek

Czech Technical University in Prague

CZECH REPUBLIC

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František Štampach

Czech Technical University in Prague

CZECH REPUBLIC

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Piero D'Ancona

Full Professor

Università degli Studi di Roma La Sapienza

ITALY

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Luca FANELLI

Research Professor

Ikerbasque, Basque Foundation for Science

SPAIN

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Nico Michele Schiavone

Profesor Ayudante Doctor (Assistant Professor)

Universidad Politécnica de Madrid

SPAIN

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Konstantin Pankrashkin

Professor

Carl von Ossietzky Universität Oldenburg

GERMANY

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Pedro Antunes

Instituto Superior Técnico

PORTUGAL

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David Krejcirik

Research Interests

Contact this professor

About

Recent Grants

Articles (20)

Curved nonlinear waveguides

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

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

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

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

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

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

Numerical optimisation of Dirac eigenvalues

Bound States in Soft Quantum Layers

Quasi‐conical domains with embedded eigenvalues

A Sharp Form of the Discrete Hardy Inequality and the Keller–Pinchover–Pogorzelski Inequality

Spectral optimization of Dirac rectangles

Localization of eigenvalues for non-self-adjoint Dirac and Klein–Gordon operators

Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions

Spectral analysis of the multidimensional diffusion operator with random jumps from the boundary

Soft quantum waveguides with an explicit cut-locus

Bound states in semi-Dirac semi-metals

From Lieb–Thirring Inequalities to Spectral Enclosures for the Damped Wave Equation

Absence of Eigenvalues of Dirac and Pauli Hamiltonians via the Method of Multipliers

Correction to: Spectral analysis of the diffusion operator with random jumps from the boundary

Collaborators (7)

Matěj Tušek

František Štampach

Piero D'Ancona

Luca FANELLI

Nico Michele Schiavone

Konstantin Pankrashkin

Pedro Antunes

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