Publication: Non-existence of global solutions to nonlinear wave equations with positive initial energy
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.facultymember | Yes | |
| dc.contributor.kuauthor | Bilgin, Bilgesu Arif | |
| dc.contributor.kuauthor | Kalantarov, Varga | |
| dc.contributor.schoolcollegeinstitute | College of Sciences | |
| dc.date.accessioned | 2024-11-09T23:51:43Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We consider the Cauchy problem for nonlinear abstract wave equations in a Hilbert space. Our main goal is to show that this problem has solutions with arbitrary positive initial energy that blow up in a finite time. The main theorem is proved by employing a result on growth of solutions of abstract nonlinear wave equation and the concavity method. A number of examples of nonlinear wave equations are given. A result on blow up of solutions with arbitrary positive initial energy to the initial boundary value problem for the wave equation under nonlinear boundary conditions is also obtained. | |
| dc.description.fulltext | No | |
| dc.description.harvestedfrom | Manual | |
| dc.description.indexedby | WOS | |
| dc.description.indexedby | Scopus | |
| dc.description.openaccess | YES | |
| dc.description.peerreviewstatus | Peer-Reviewed | |
| dc.description.publisherscope | International | |
| dc.description.readpublish | N/A | |
| dc.description.sponsoredbyTubitakEu | N/A | |
| dc.description.studentonlypublication | No | |
| dc.description.studentpublication | Yes | |
| dc.description.version | N/A | |
| dc.identifier.WoSQuartile | Q2 | |
| dc.identifier.doi | 10.3934/cpaa.2018048 | |
| dc.identifier.eissn | 1553-5258 | |
| dc.identifier.embargo | N/A | |
| dc.identifier.endpage | 999 | |
| dc.identifier.issn | 1534-0392 | |
| dc.identifier.issue | 3 | |
| dc.identifier.scopus | 2-s2.0-85044411854 | |
| dc.identifier.startpage | 987 | |
| dc.identifier.uri | https://doi.org/10.3934/cpaa.2018048 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14288/14761 | |
| dc.identifier.volume | 17 | |
| dc.identifier.wos | 000439236400011 | |
| dc.keywords | Global non-existence | |
| dc.keywords | Blow up | |
| dc.keywords | Differential operator equation | |
| dc.keywords | Concavity method | |
| dc.keywords | Positive energy | |
| dc.keywords | Klein-gordon equations | |
| dc.keywords | Time blow-up | |
| dc.keywords | Cauchy-problem | |
| dc.keywords | Hyperbolic-equations | |
| dc.keywords | Boundary-conditions | |
| dc.keywords | Existence | |
| dc.keywords | Instability | |
| dc.keywords | Theorems | |
| dc.keywords | System | |
| dc.language.iso | eng | |
| dc.publisher | American Institute of Mathematical Sciences | |
| dc.relation.affiliation | Koç University | |
| dc.relation.collection | Koç University Institutional Repository | |
| dc.relation.ispartof | Communications on Pure and Applied Analysis | |
| dc.relation.openaccess | N/A | |
| dc.rights | N/A | |
| dc.subject | Mathematics | |
| dc.subject | Applied mathematics | |
| dc.title | Non-existence of global solutions to nonlinear wave equations with positive initial energy | |
| dc.type | Journal Article | |
| dspace.entity.type | Publication | |
| local.contributor.kuauthor | Bilgin, Bilgesu Arif | |
| local.contributor.kuauthor | Kalantarov, Varga | |
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