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Chape Sensitivity of the Dirichlet Laplacian in the Hale Space
Material and shape derivatives for solutions to the Dirichlet Laplacian in hale space are derived by an application of the speed method....
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions
We derive spectral estimates of the Lieb-Thirring type for eigenvalues of Dirichlet Laplacians on strictly shrinking spiral-shaped domains....
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The ratio of eigenvalues of the Dirichlet eigenvalue problem for equations with one-dimensional p-Laplacian
We establish an estimate for the ratio of eigenvalues of the Dirichlet eigenvalue problem for the equation with one-dimensional p-Laplacian involving a nonnegative unimodal (single-well) potential....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Quasi-conical domains with embedded eigenvalues
The spectrum of the Dirichlet Laplacian on any quasi-conical open set coincides with the non-negative semi-axis. We show that there is a connected quasi-conical open set such that the respective Dirichlet Laplacian...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Hardy inequality in a twisted Dirichlet-Neumann waveguide
We consider the Laplacian in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to a Hardy inequality for the Laplacian...
BE - Teoretická fyzika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Spectral estimates for Dirichlet Laplacian on spiral-shaped regions
We derive spectral estimates of the Lieb-Thirring type for eigenvalues of Dirichlet Laplacians on strictly shrinking spiral-shaped domains....
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
The Hardy inequality and the heat equation in twisted tubes
We show that a twist of a three-dimensional tube of uniform cross-section yields an improved decay rate for the heat semigroup associated with the Dirichlet Laplacian in the tube. The proof employs Hardy inequalities for the Dir...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Singular Dirichlet problem for ordinary differential equations with Φ-Laplacian
We provide sufficient conditions for solvability of a singular Dirichlet boundary value problem for the second order differential equation with Φ-Laplacian. We prove the existence of a solution having continuous first derivativ...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Dirichlet problem with ?-Laplacian and mixed singularities
This work is devoted to a singular Dirichlet problem with ?-Laplacian in the second order nonlinear differential equation. The map ? is supposed to be an increasing odd homeomorphism from the real line onto itself. Under the assumpt...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Spectral estimates for Dirichlet Laplacian on tubes with exploding twisting velocity
We study the spectrum of the Dirichlet Laplacian on an unbounded twisted tube with twisting velocity exploding to infinity. If the tube cross section does not intersect the axis of rotation, then its spectrum is purely discrete unde...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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