Eigenvalue inequalities for the Laplacian with mixed boundary conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F17%3A00475670" target="_blank" >RIV/61389005:_____/17:00475670 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jde.2017.02.043" target="_blank" >http://dx.doi.org/10.1016/j.jde.2017.02.043</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2017.02.043" target="_blank" >10.1016/j.jde.2017.02.043</a>

Result language
angličtina
Original language name
Eigenvalue inequalities for the Laplacian with mixed boundary conditions
Original language description
nequalities for the eigenvalues of the (negative) Laplacian subject to mixed boundary conditions on polyhedral and more general bounded domains are established. The eigenvalues subject to a Dirichlet boundary condition on a part of the boundary and a Neumann boundary condition on the remainder of the boundary are estimated in terms of either Dirichlet or Neumann eigenvalues. The results complement several classical inequalities between Dirichlet and Neumann eigenvalues due to Polya, Payne, Levine and Weinberger, Friedlander, and others.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
<a href="/en/project/GA14-06818S" target="_blank" >GA14-06818S: Rigorous Methods in Quantum Dynamics: Geometry and Magnetic Fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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