Asymptotic behavior for a singular diffusion equation with gradient absorption

Abstract

We study the large time behavior of non-negative solutions to the singular diffusion equation with gradient absorption $${\partial }_{t}u-{\Delta }_{p}u+|\nabla u{|}^q=0in(0,\infty )\times {\Re }^N,$$ for $p_c:=2N/(N+1)

References in corpus (1)

• Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption