On the Nonlinear Wave Equation with Time-periodic Potential
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| hal.structure.identifier | Analyse, Géométrie et Modélisation [AGM - UMR 8088] | |
| dc.contributor.author | TZVETKOV, Nikolay | |
| dc.date.accessioned | 2024-04-04T02:56:27Z | |
| dc.date.available | 2024-04-04T02:56:27Z | |
| dc.date.issued | 2021-03-16 | |
| dc.identifier.issn | 1073-7928 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192464 | |
| dc.description.abstractEn | It is known that there exist non-negative potentials q(t, x) with compact support in x for which the Cauchy problem for the linear wave equation with potential q has solutions with exponentially increasing energy. We prove that if we add a non-linear term the global energy of the solutions is polynomially bounded as t goes to infinity. | |
| dc.language.iso | en | |
| dc.publisher | Oxford University Press (OUP) | |
| dc.subject.en | time-dependent potential | |
| dc.subject.en | exponentially increasing energy | |
| dc.subject.en | no linear wave equation | |
| dc.title.en | On the Nonlinear Wave Equation with Time-periodic Potential | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1093/imrn/rnz014 | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | International Mathematics Research Notices | |
| bordeaux.page | 4301-4323 | |
| bordeaux.volume | 2021 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02487340 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02487340v1 | |
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