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Solution of the Dirichlet Problem with L^p Boundary Condition
The solution of the Dirichlet problem for the Laplace equation is looked for in the form of the sum of a single layer and a double layer potentials with the same density f. The original problem is reduced to the solving of ...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The planar Dirichlet problem for the Stokes equations
The Dirichlet problem for the Stokes equations is studied in a planar domain. We construct a solution of this problem in form of appropriate potentials and determine the unknown source densities via integral equation systems on the boundary ...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer
We perform quantitative spectral analysis of the self-adjoint Dirichlet Laplacian H on an unbounded, radially symmetric (generalized) parabolic layer P subset of R-3. It was known before that H has an infinite number of eigenvalues ...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The Dirichlet problem for the Brinkman system in Sobolev spaces
The Dirichlet problem for the Brinkman system and the Darcy-Forchheimer-Brinkman system are studied in Ws,q(Omega,Rm)×Ws−1,q(Omega) for bounded domains Omega in Rm with Lipschitz boundary....
Pure mathematics
- 2023 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
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A geometric Iwatsuka type effect in quantum layers
We study motion of a charged particle confined to a Dirichlet layer of a fixed width placed into a homogeneous magnetic field. If the layer is planar and the field is perpendicular to it, the spectrum consists of infinitely...
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The successive approximation method for the Dirichlet problem in a planar domain
The Dirichlet problem for the Laplace equation for a planar domain with piecewise-smooth boundary is studied using the indirect integral equation method. The domain is bounded or unbounded. It is not supposed that the boundary is connected. ...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Spectrum of Dirichlet Laplacian in a conical layer
We study the spectral properties of Dirichlet Laplacian on the conical layer of the opening angle pi - 2 theta and thickness equal to pi. We demonstrate that below the continuum threshold, which is equal to 1, there is an infinite s...
BE - Teoretická fyzika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
L^q solution of the Robin problem for the Stokes system with Coriolis force
We define single layer potential and double layer potential for the stationary Stokes system with Coriolis term and study properties of these potentials. Then using the integral equation method we study the Dirichlet proble...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The Harmonic Dirichlet Problem for a Cracked Domain with Jump Conditions on Cracks
The harmonic problem in a cracked domains is studied. The boundary of the domain is assumed to be nonsmooth, while cracks are smooth. The Dirichlet condition is specified on the boundary of the domain. Jumps of the unknown function and its n...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A lower bound to the spectral threshold in curved quantum layers
We obtain a lower bound to the lowest energy of a quantum particle confined to the space delimited by two parallel surfaces with hard-wall boundary conditions....
Applied mathematics
- 2017 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
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