Asymptotic Behaviour of a Nonlinear Parabolic Equation with Gradient Absorption and Critical Exponent

Razvan Gabriel Iagar, Philippe Laurençot, Juan Luis Vázquez

We study the large-time behaviour of the solutions of the evolution equation involving nonlinear diffusion and gradient absorption, $${\partial }_{t}u-{\Delta }_{p}u+|\nabla u{|}^q=0.$$ We…