Search Results - "Seelmann, Albrecht"

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  1. 1

    The Laplacian on Cartesian products with mixed boundary conditions by Seelmann, Albrecht

    Published in Archiv der Mathematik (01-07-2021)
    “…A definition of the Laplacian on Cartesian products with mixed boundary conditions using quadratic forms is proposed. Its consistency with the standard…”
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    Journal Article
  2. 2

    On a Minimax Principle in Spectral Gaps by Seelmann, Albrecht

    Published in Complex analysis and operator theory (01-04-2022)
    “…The minimax principle for eigenvalues in gaps of the essential spectrum in the form presented by Griesemer et al. (Doc Math 4:275–283, 1999) is adapted to…”
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  3. 3

    Notes on the subspace perturbation problem for off-diagonal perturbations by Seelmann, Albrecht

    “…The variation of spectral subspaces for linear self-adjoint operators under an additive bounded off-diagonal perturbation is studied. To this end, the…”
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  4. 4

    Uncertainty principles with error term in Gelfand–Shilov spaces by Dicke, Alexander, Seelmann, Albrecht

    Published in Archiv der Mathematik (01-10-2022)
    “…In this note, an alternative approach to establish observability for semigroups based on their smoothing properties is presented. The results discussed here…”
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  5. 5

    A unified observability result for non-autonomous observation problems by Gabel, Fabian, Seelmann, Albrecht

    Published in Archiv der Mathematik (01-02-2024)
    “…A final-state observability result in the Banach space setting for non-autonomous observation problems is obtained that covers and extends all previously known…”
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  6. 6

    Band Edge Localization Beyond Regular Floquet Eigenvalues by Seelmann, Albrecht, Täufer, Matthias

    Published in Annales Henri Poincaré (01-07-2020)
    “…We prove that localization near band edges of multi-dimensional ergodic random Schrödinger operators with periodic background potential in L 2 ( R d ) is…”
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  7. 7

    The Reflection Principle in the Control Problem of the Heat Equation by Egidi, Michela, Seelmann, Albrecht

    Published in Journal of dynamical and control systems (01-07-2022)
    “…We consider the control problem for the generalized heat equation for a Schrödinger operator on a domain with a reflection symmetry with respect to a…”
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  8. 8

    Exhaustion approximation for the control problem of the heat or Schrödinger semigroup on unbounded domains by Seelmann, Albrecht, Veselić, Ivan

    Published in Archiv der Mathematik (01-08-2020)
    “…We consider the control problem of the heat equation on bounded and unbounded domains, and more generally the corresponding inhomogeneous equation for the…”
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  9. 9

    Uncertainty Principle for Hermite Functions and Null-Controllability with Sensor Sets of Decaying Density by Dicke, Alexander, Seelmann, Albrecht, Veselić, Ivan

    “…We establish a family of uncertainty principles for finite linear combinations of Hermite functions. More precisely, we give a geometric criterion on a subset…”
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    An abstract Logvinenko-Sereda type theorem for spectral subspaces by Egidi, Michela, Seelmann, Albrecht

    “…We provide an abstract framework for a Logvinenko-Sereda type theorem, where the classical compactness assumption on the support of the Fourier transform is…”
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  12. 12
  13. 13

    On an estimate in the subspace perturbation problem by Seelmann, Albrecht

    “…The problem of variation of spectral subspaces for linear self-adjoint operators under an additive bounded perturbation is considered. The aim is to find the…”
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  14. 14
  15. 15

    Sturm-Liouville problems and global bounds by small control sets and applications to quantum graphs by Egidi, Michela, Mugnolo, Delio, Seelmann, Albrecht

    “…We develop a Logvinenko–Sereda theory for one-dimensional vector-valued self-adjoint operators. We thus deliver upper bounds on L2-norms of eigenfunctions –…”
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  16. 16

    Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials by Dicke, Alexander, Rose, Christian, Seelmann, Albrecht, Tautenhahn, Martin

    Published in Journal of Differential Equations (05-10-2023)
    “…Recent (scale-free) quantitative unique continuation estimates for spectral subspaces of Schrödinger operators are extended to allow singular potentials such…”
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  17. 17

    Notes on the sin2Θ Theorem by Seelmann, Albrecht

    “…An analogue of the Davis-Kahan sin 2 Θ theorem from (SIAM J Numer Anal 7:1–46, 1970 ) is proved under a general spectral separation condition. This extends the…”
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  18. 18

    On Invariant Graph Subspaces by Makarov, Konstantin A., Schmitz, Stephan, Seelmann, Albrecht

    Published in Integral equations and operator theory (01-07-2016)
    “…In this paper we discuss the problem of decomposition for unbounded 2 × 2 operator matrices by a pair of complementary invariant graph subspaces. Under mild…”
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  19. 19

    Relative residual bounds for eigenvalues in gaps of the essential spectrum by Seelmann, Albrecht

    Published 13-09-2023
    “…Oper. Matrices 18 (2024), 191--203 The relative distance between eigenvalues of the compression of a not necessarily semibounded self-adjoint operator to a…”
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  20. 20

    On a minimax principle in spectral gaps by Seelmann, Albrecht

    Published 31-07-2021
    “…Complex Anal. Oper. Theory 16 (2022), 29 The minimax principle for eigenvalues in gaps of the essential spectrum in the form presented by Griesemer, Lewis, and…”
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