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. Electronic Journal of Differential Equations, 2006(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 |