Weak solutions for quasilinear degenerate parabolic systems
Zheng‐an Yao, Wenshu Zhou · DOAJ (DOAJ: Directory of Open Access Journals) · 2006
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.