| dc.date.accessioned | 2013-11-21T11:55:43Z | |
| dc.date.available | 2013-11-21T11:55:43Z | |
| dc.date.issued | 2009 | en_US |
| dc.date.submitted | 2009-11-11 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10852/10478 | |
| dc.description.abstract | In this paper we study the Cauchy problem for the wave equation with space-time Lévy noise initial data in the Kondratiev space of stochastic distributions. We prove that this problem has a strong and unique C2-solution, which takes an explicit form. Our approach is based on the use of the Hermite transform. | eng |
| dc.language.iso | eng | en_US |
| dc.publisher | Matematisk Institutt, Universitetet i Oslo | |
| dc.relation.ispartof | Preprint series. Pure mathematics http://urn.nb.no/URN:NBN:no-8076 | en_US |
| dc.relation.uri | http://urn.nb.no/URN:NBN:no-8076 | |
| dc.rights | © The Author(s) (2003). This material is protected by copyright law. Without explicit authorisation, reproduction is only allowed in so far as it is permitted by law or by agreement with a collecting society. | |
| dc.title | The Cauchy problem for the wave equation with Lévy noise initial data | en_US |
| dc.type | Research report | en_US |
| dc.date.updated | 2013-11-15 | en_US |
| dc.rights.holder | Copyright 2003 The Author(s) | |
| dc.creator.author | Øksendal, Bernt | en_US |
| dc.creator.author | Proske, Frank | en_US |
| dc.creator.author | Signahl, Mikael | en_US |
| dc.subject.nsi | VDP::410 | en_US |
| dc.identifier.urn | URN:NBN:no-23434 | en_US |
| dc.type.document | Forskningsrapport | en_US |
| dc.identifier.duo | 96705 | en_US |
| dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/10478/1/pm03-03.pdf | |