@Article{JPDE-6-121, author = {Kamin, S., Liu, W.}, title = {Large Time Behavior of a Nonlinear Diffusion Equation with a Source}, journal = {Journal of Partial Differential Equations}, year = {1993}, volume = {6}, number = {2}, pages = {121--136}, abstract = { In this paper we study the positive solutions of the nonlinear diffusion equation u_t - Δu^m = u^{-p} in R^N in the class of functions with some prescribed growth rate as |x| → ∞. We give a description of the large time behavior and show that it is determined by the competition between the diffusion and the source.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5705.html} }