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http://dx.doi.org/10.18419/opus-13204
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.author | Rohde, Christian | - |
dc.contributor.author | Tang, Hao | - |
dc.date.accessioned | 2023-06-26T08:13:15Z | - |
dc.date.available | 2023-06-26T08:13:15Z | - |
dc.date.issued | 2020 | de |
dc.identifier.issn | 1040-7294 | - |
dc.identifier.issn | 1572-9222 | - |
dc.identifier.other | 1852274905 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-132230 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/13223 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-13204 | - |
dc.description.abstract | The subject of this paper is a generalized Camassa-Holm equation under random perturbation. We first establish local existence and uniqueness results as well as blow-up criteria for pathwise solutions in the Sobolev spaces Hs with s>3/2. Then we analyze how noise affects the dependence of solutions on initial data. Even though the noise has some already known regularization effects, much less is known concerning the dependence on initial data. As a new concept we introduce the notion of stability of exiting times and construct an example showing that multiplicative noise (in Itô sense) cannot improve the stability of the exiting time, and simultaneously improve the continuity of the dependence on initial data. Finally, we obtain global existence theorems and estimate associated probabilities. | en |
dc.description.sponsorship | Deutsche Forschungsgemeinschaft | de |
dc.description.sponsorship | Projekt DEAL | de |
dc.description.sponsorship | Alexander von Humboldt Foundation | de |
dc.language.iso | en | de |
dc.relation.uri | doi:10.1007/s10884-020-09872-1 | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | de |
dc.subject.ddc | 510 | de |
dc.title | On a stochastic Camassa-Holm type equation with higher order nonlinearities | en |
dc.type | article | de |
dc.date.updated | 2023-05-15T11:55:59Z | - |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Angewandte Analysis und numerische Simulation | de |
ubs.publikation.seiten | 1823-1852 | de |
ubs.publikation.source | Journal of dynamics and differential equations 33 (2021), S. 1823-1852 | de |
ubs.publikation.typ | Zeitschriftenartikel | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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s10884-020-09872-1.pdf | 552,91 kB | Adobe PDF | Öffnen/Anzeigen |
Diese Ressource wurde unter folgender Copyright-Bestimmung veröffentlicht: Lizenz von Creative Commons