Weak solutions for quasilinear degenerate parabolic systems
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Date
2006-07-07
Authors
Yao, Zheng'an
Zhou, Wenshu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Quasilinear degenerate parabolic system, Weak solution, Existence, Uniqueness, Asymptotic behavior
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.
Rights
Attribution 4.0 International