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 | 2021-08-19T20:03:45Z | |
| dc.date.available | 2021-08-19T20:03:45Z | |
| dc.date.issued | 2021-01-29 | |
| 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Antontsev, S., Ferreira, J., & Piskin, E. (2021). Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities. <i>Electronic Journal of Differential Equations, 2021</i>(06), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14403 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Global solution | |
| dc.subject | Blow up | |
| dc.subject | Petrovsky equation | |
| dc.subject | Variable-exponent nonlinearities | |
| dc.title | Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities | |
| dc.type | Article |