Asymptotic behaviour of solutions and free boundaries of the anisotropic
slow diffusion equation
Asymptotic behaviour of solutions and free boundaries of the anisotropic
slow diffusion equation
In this paper we explore the theory of the anisotropic porous medium equation in the slow diffusion range. After revising the basic theory, we prove the existence of self-similar fundamental solutions (SSFS) of the equation posed in the whole Euclidean space. Each of such solutions is uniquely determined by its …