EXISTENCE AND BLOW UP OF SOLUTIONS FOR A STRONGLY DAMPED PETROVSKY EQUATION WITH VARIABLE-EXPONENT NONLINEARITIES
| dc.contributor.author | Antontsev, Stanislav | |
| dc.contributor.author | Ferreira, Jorge | |
| dc.contributor.author | Piskin, Erhan | |
| dc.date.accessioned | 2024-04-24T17:49:51Z | |
| dc.date.available | 2024-04-24T17:49:51Z | |
| dc.date.issued | 2021 | |
| dc.department | Dicle Üniversitesi | en_US |
| dc.description.abstract | In this article, we consider a nonlinear plate (or beam) Petrovsky equation with strong damping and source terms with variable exponents. By using the Banach contraction mapping principle we obtain local weak solutions, under suitable assumptions on the variable exponents p(.) and q(.). Then we show that the solution is global if p(.) >= q(.). Also, we prove that a solution with negative initial energy and p(.) < q(.) blows up in finite time. | en_US |
| dc.description.sponsorship | RSF [19-11-00069]; Foundation for Science and Technology of Portugal [UID/MAT/04561/2019]; Russian Science Foundation [19-11-00069] Funding Source: Russian Science Foundation | en_US |
| dc.description.sponsorship | S. Antontsev was partially supported by the RSF grant no. 19-11-00069, and by the Foundation for Science and Technology of Portugal, under the project UID/MAT/04561/2019 (35% of the results in this article, statement of the problem, preliminaries, global solutions). | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/11468/23034 | |
| dc.identifier.wos | WOS:000614070700001 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State Univ | en_US |
| dc.relation.ispartof | Electronic Journal of Differential Equations | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Global Solution | en_US |
| dc.subject | Blow Up | en_US |
| dc.subject | Petrovsky Equation | en_US |
| dc.subject | Variable-Exponent Nonlinearities | en_US |
| dc.title | EXISTENCE AND BLOW UP OF SOLUTIONS FOR A STRONGLY DAMPED PETROVSKY EQUATION WITH VARIABLE-EXPONENT NONLINEARITIES | en_US |
| dc.title | EXISTENCE AND BLOW UP OF SOLUTIONS FOR A STRONGLY DAMPED PETROVSKY EQUATION WITH VARIABLE-EXPONENT NONLINEARITIES | |
| dc.type | Article | en_US |
