TY - JOUR T1 - Extinction and Positivity for the Non-Newtonian Polytropic Filtration Equation AU - Hongjun Yuan JO - Journal of Partial Differential Equations VL - 2 SP - 169 EP - 176 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5618.html KW - Quasilinear degenerate parabolic equations KW - extinction and positivity AB - The aim of this paper is to discuss the extinction and positivity for the non-Newtonian polytropic filtration equation \frac{∂u}{∂t} = \frac{∂}{∂x}(|\frac{∂u^m}{∂x}|^{p-2}\frac{∂u^m}{∂x}) with m > 0, p > 1.