Exponential decay and blow-up for nonlinear heat equations with viscoelastic terms and Robin-Dirichlet conditions
| dc.contributor.author | Ngoc, Le Thi Phuong | |
| dc.contributor.author | Long, Nguyen Thanh | |
| dc.date.accessioned | 2021-10-05T21:28:07Z | |
| dc.date.available | 2021-10-05T21:28:07Z | |
| dc.date.issued | 2020-10-26 | |
| dc.description.abstract | In this article, we consider a system of nonlinear heat equations with viscoelastic terms and Robin-Dirichlet conditions. First, we prove existence and uniqueness of a weak solution. Next, we prove a blow up result of weak solutions with negative initial energy. Also, we give a sufficient condition that guarantees the existence and exponential decay of global weak solutions. The main tools are the Faedo-Galerkin method, a Lyapunov functional, and a suitable energy functional. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 26 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Ngoc, L. T. P., & Long, N. T. (2020). Exponential decay and blow-up for nonlinear heat equations with viscoelastic terms and Robin-Dirichlet conditions. <i>Electronic Journal of Differential Equations, 2020</i>(106), pp. 1-26. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14613 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Nonlinear heat equations | |
| dc.subject | Blow up | |
| dc.subject | Exponential decay | |
| dc.title | Exponential decay and blow-up for nonlinear heat equations with viscoelastic terms and Robin-Dirichlet conditions | |
| dc.type | Article |