Regularity and scattering for the wave equation with a critical nonlinear damping
| dc.authorid | 0000-0001-5506-5766 | |
| dc.contributor.author | Todorova, Grozdena | |
| dc.contributor.author | Uğurlu, Davut | |
| dc.contributor.author | Yordanov, Borislav | |
| dc.date.accessioned | 2021-06-23T18:52:09Z | |
| dc.date.available | 2021-06-23T18:52:09Z | |
| dc.date.issued | 2009 | |
| dc.department | BAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | We show that the nonlinear wave equation u + u 3 t = 0 is globally well-posed in radially symmetric Sobolev spaces H k rad(R 3) × H k-1 rad for all integers k > 2. This partially extends the well-posedness in H k(R 3) × H k-1(.R 3) for all k ? [1,2], established by Lions and Strauss [12]. As a consequence we obtain the global existence of C? solutions with radial C? 0 data. The regularity problem requires smoothing and non-concentration estimates in addition to standard energy estimates, since the cubic damping is critical when k = 2. We also establish scattering results for initial data (u,u t)| t=0 in radially symmetric Sobolev spaces. © 2009 The Mathematical Society of Japan. | en_US |
| dc.identifier.doi | 10.2969/jmsj/06120625 | |
| dc.identifier.endpage | 649 | en_US |
| dc.identifier.issn | 0025-5645 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-67650932808 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 625 | en_US |
| dc.identifier.uri | https://doi.org/10.2969/jmsj/06120625 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12491/4147 | |
| dc.identifier.volume | 61 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Uğurlu, Davut | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Journal of the Mathematical Society of Japan | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Nonlinear Damping | en_US |
| dc.subject | Regularity | en_US |
| dc.subject | Wave Equation | en_US |
| dc.title | Regularity and scattering for the wave equation with a critical nonlinear damping | en_US |
| dc.type | Article | en_US |
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