Electronic Journal of Differential Equations (Jan 2017)
Critical exponent for the asymptotic behavior of rescaled solutions to the porous medium equation
Abstract
In this article, we find that $\mu_c\equiv 2N/(N(m-1)+2)$ is the critical exponent for the asymptotic behavior of rescaled solutions $t^{\mu/2}u(t^\beta x,t)$ for the porous medium equation.
