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Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve
homogenized problems. Our main result is the norm-resolvent convergence of the perturbed operator to a homogenized one in various operator norms and the estimates for the rate of convergence. On the basis...
BE - Teoretická fyzika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Reduction of dimension as a consequence of norm-resolvent convergence and applications
This paper is devoted to dimensional reductions via the norm resolvent convergence. We derive explicit bounds on the resolvent difference as well as spectral asymptotics. The efficiency of our abstract tool is demo...
Pure mathematics
- 2018 •
- Jost •
- Link
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Jost - Ostatní články v recenzovaných periodicích
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Approximation of point interactions by geometric perturbations in two-dimensional domains
converges in the norm-resolvent sense to the operator with the point interaction. This resolvent convergence is established with respect to several operator norms and order-sharp estimates of the...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Potential approximations to delta ': An inverse Klauder phenomenon with norm-resolvent convergence
We show that there is a family Schrodinger operators with scaled potentials which approximates the delta'-interaction Hamiltonian in the norm-resolvent sense. This approximation, based on a formal scheme proposed by Cheon and Shigeh...
BE - Teoretická fyzika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Homogenization for operators with arbitrary perturbations in coefficients
study the existence of a limiting (homogenized) operator in the sense of the norm resolvent convergence. The first part of our main results states that the norm resolvent convergence is equivalen...
Applied mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A geometric approximation of delta-interactions by Neumann Laplacians
, the Neumann Laplacian on this domain converges in generalised norm resolvent sense to the above singular Schrodinger operator. Also we prove Hausdorff convergence of the spectra. In both cases estimates on the ra...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Asymptotic spectral analysis in colliding leaky quantum layers
We consider the Schrodinger operator with a complex delta interaction supported by two parallel hypersurfaces in the Euclidean space of any dimension. We analyse spectral properties of the system in the limit when the distance between the hypersurfac...
Applied mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The effective Hamiltonian in curved quantum waveguides under mild regularity assuptions
of the tube are considered. We show that the Laplacian converges in a norm-resolvent sense not work. To establish the norm-resolvent convergence under the minimal regularity......
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
The Effective Hamiltonian in Curved Quantum Waveguides and When It Does Not Work
of the tube are considered. We show that the Laplacian converges in a norm-resolvent sense not work. To establish the norm-resolvent convergence under the minimal regularity......
BE - Teoretická fyzika
- 2013 •
- D
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D - Stať ve sborníku
The effective Hamiltonian in curved quantum waveguides under mild regularity assumptions
of the tube are considered. We show that the Laplacian converges in a norm-resolvent sense not work. To establish the norm-resolvent convergence under the minimal regularity......
BE - Teoretická fyzika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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