TY - JOUR T1 - Existence and Nonuniqueness of Weak Solutions for a Degenerate Diffusion Equation JO - Journal of Partial Differential Equations VL - 3 SP - 267 EP - 286 PY - 2005 DA - 2005/08 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5362.html KW - Divergence form KW - degenerate parabolic equation KW - existence KW - non-uniqueness KW - localization AB -

In this paper, we prove the existence and nonuniqueness of the weak solutions of the initial and boundary value problem for a nonlinear degenerate parabolic equation not in divergence form. Localization property of weak solutions will be also discussed.