Weak solutions for quasilinear degenerate parabolic systems
| dc.contributor.author | Yao, Zheng'an | |
| dc.contributor.author | Zhou, Wenshu | |
| dc.date.accessioned | 2021-07-19T16:15:44Z | |
| dc.date.available | 2021-07-19T16:15:44Z | |
| dc.date.issued | 2006-07-07 | |
| dc.description.abstract | This paper concerns the initial Dirichlet boundary-value problem for a class of quasilinear degenerate parabolic systems. Due to the degeneracies, the problem does not have classical solutions in general. Combining the special form of the system, a proper concept of a weak solution is presented, then the existence and uniqueness of weak solutions are proved. Moreover, the asymptotic behavior of weak solutions will also be discussed. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Yao, Z., & Zhou, W. (2006). Weak solutions for quasilinear degenerate parabolic systems. <i>Electronic Journal of Differential Equations, 2006</i>(70), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13943 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Quasilinear degenerate parabolic system | |
| dc.subject | Weak solution | |
| dc.subject | Existence | |
| dc.subject | Uniqueness | |
| dc.subject | Asymptotic behavior | |
| dc.title | Weak solutions for quasilinear degenerate parabolic systems | |
| dc.type | Article |