Spectral Determinant for the Damped Wave Equation on an Interval
| dc.contributor.author | Freitas, Pedro | |
| dc.contributor.author | Lipovský, Jiří | |
| dc.date.accessioned | 2026-08-18T12:32:42Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We evaluate the spectral determinant for the damped wave equation on an interval of length T with Dirichlet boundary conditions, proving that it does not depend on the damping. This result is achieved by analysing the square of the damped wave operator using the general result by Burghelea, Friedlander, and Kappeler on the determinant for a differential operator with matrix coefficients. | eng |
| dc.description.abstract-translated | Vypočítáme spektrální determinant pro vlnovou rovnici s tlumením na intervalu délky T s Dirichletovými vazebnými podmínkami a dokážeme, že tato kvantita nezávisí na tlumení. Tohoto výsledku dosáhneme zkoumáním druhé mocniny operátoru pro vlnovou rovnici s tlumením s použitím obecného výsledku o determinantu diferenciálního operátoru s maticovými koeficienty autorů Burghelea, Friedlander a Kappeler. | cze |
| dc.format | p. 817-823 | |
| dc.identifier.doi | 10.12693/APhysPolA.136.817 | |
| dc.identifier.issn | 0587-4246 | |
| dc.identifier.obd | 43875927 | |
| dc.identifier.scopus | 2-s2.0-85077457093 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12603/3228 | |
| dc.identifier.wos | 000505677800027 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.project.ID | International mobilities for research activities of UHK | |
| dc.publicationstatus | postprint | |
| dc.publisher | Panstwowe wydawnictvo naukowe | |
| dc.relation.ispartof | Acta physica polonica. Seria A, General physics, solid state physics, applied physics, volume 136, issue: 5 | eng |
| dc.relation.publisherversion | http://przyrbwn.icm.edu.pl/APP/PDF/136/app136z5p25.pdf | |
| dc.rights.access | Open Access | |
| dc.rights.license | CC BY | |
| dc.source.url | http://przyrbwn.icm.edu.pl/APP/PDF/136/app136z5p25.pdf | |
| dc.subject | damped wave equation | eng |
| dc.subject | spectral determinant | eng |
| dc.subject | non-selfadjoint operator | eng |
| dc.subject | vlnová rovnice s tlumením | cze |
| dc.subject | spektrální determinant | cze |
| dc.subject | nesamosdružený operátor | cze |
| dc.title | Spectral Determinant for the Damped Wave Equation on an Interval | eng |
| dc.title.alternative | Spektrální determinant pro vlnovou rovnici s tlumením na intervalu | cze |
| dc.type | article |