Existence, blow-up and exponential decay for Kirchhoff-Love equations with Dirichlet conditions
| dc.contributor.author | Triet, Nguyen Anh | |
| dc.contributor.author | Mai, Vo Thi Tuyet | |
| dc.contributor.author | Ngoc, Le Thi Phuong | |
| dc.contributor.author | Nguyen, Thanh Long | |
| dc.date.accessioned | 2022-03-07T22:11:02Z | |
| dc.date.available | 2022-03-07T22:11:02Z | |
| dc.date.issued | 2018-10-04 | |
| dc.description.abstract | The article concerns the initial boundary value problem for a nonlinear Kirchhoff-Love equation. First, by applying the Faedo-Galerkin, we prove existence and uniqueness of a solution. Next, by constructing Lyapunov functional, we prove a blow-up of the solution with a negative initial energy, and establish a sufficient condition for the exponential decay of weak solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 26 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Triet, N. A., Mai, V. T. T., Ngoc, L. T. P., & Nguyen, T. L. (2018). Existence, blow-up and exponential decay for Kirchhoff-Love equations with Dirichlet conditions. <i>Electronic Journal of Differential Equations, 2018</i>(167), pp. 1-26. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15461 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear Kirchhoff-Love equation | |
| dc.subject | Blow-up | |
| dc.subject | Exponential decay | |
| dc.title | Existence, blow-up and exponential decay for Kirchhoff-Love equations with Dirichlet conditions | |
| dc.type | Article |