José A. CarrilloMarco Di FrancescoGiuseppe Toscani
We investigate the long time asymptotics in L+(R) for solutions of general nonlinear diffusion equations ut = ∆φ(u). We describe, for the first time, the intermediate asymptotics for a very large class of non-homogeneous nonlinearities φ for which long time asymptotics cannot be characterized by self-similar solutions. Scaling the solutions by their own second moment (temperature in the kinetic...
Sufficient conditions for the oscillation of the nonlinear second order differential equation (a(t)x) +Q(t, x) = P (t, x, x) are established where the coefficients are continuous and a(t) is nonnegative.
