Asymptotic self-similarity in diffusion equations with nonconstant radial limits at infinity

Thierry Gallay, Romain Joly, Geneviève Raugel

We study the long-time behavior of localized solutions to linear or semilinear parabolic equations in the whole space ${\mathbb{R}}^n$, where $n\ge 2$, assuming that the diffusion m…