From Lieb-Thirring Inequalities to Spectral Enclosures for the Damped Wave Equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00344238" target="_blank" >RIV/68407700:21340/20:00344238 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00020-020-02607-3" target="_blank" >https://doi.org/10.1007/s00020-020-02607-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00020-020-02607-3" target="_blank" >10.1007/s00020-020-02607-3</a>

Result language
angličtina
Original language name
From Lieb-Thirring Inequalities to Spectral Enclosures for the Damped Wave Equation
Original language description
Using a correspondence between the spectrum of the damped wave equation and non-self-adjoint Schrödinger operators, we derive various bounds on complex eigenvalues of the former. In particular, we establish a sharp result that the one-dimensional damped wave operator is similar to the undamped one provided that the ????^1 norm of the (possibly complex-valued) damping is less than 2. It follows that these small dampings are spectrally undetectable.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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