TY - JOUR
T1 - The Cauchy Problem of the Porous Medium Equation with Absorption
AU - Zhao Junning, Liu Huizhao
JO - Journal of Partial Differential Equations
VL - 3
SP - 231
EP - 247
PY - 1994
DA - 1994/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5684.html
KW - Existence of solution
KW -  Cauchy problem
KW -  porous media equation
AB -  In this paper we study the existence of solution for the following Cauchy problem {u_t = &#916u^m - u^p u(x,0) = u_0(x) We show how the growth condition of initial trace is determined by the absorption.