CRITICAL EXPONENT FOR THE ASYMPTOTIC BEHAVIOR OF RESCALED SOLUTIONS TO THE POROUS MEDIUM EQUATION

Liangwei Wang, Jingxue Yin
2017 Electronic Journal of Differential Equations   unpublished
In this article, we find that µc ≡ 2N/(N (m − 1) + 2) is the critical exponent for the asymptotic behavior of rescaled solutions t µ/2 u(t β x, t) for the porous medium equation.
fatcat:234btlzq75blbdbs2s4haqpeoq