@Article{JPDE-7-231, author = {Zhao Junning, Liu Huizhao}, title = {The Cauchy Problem of the Porous Medium Equation with Absorption}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {3}, pages = {231--247}, abstract = { In this paper we study the existence of solution for the following Cauchy problem {u_t = Δu^m - u^p u(x,0) = u_0(x) We show how the growth condition of initial trace is determined by the absorption.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5684.html} }