Initial trace of positive solutions of a class of degenerate heat equation with absorption
Initial trace of positive solutions of a class of degenerate heat equation with absorption
We study the initial value problem with unbounded nonnegativefunctions or measures for the equation $ ∂_t u-Δ_p u+f(u)=0$ in$\mathbb{R}^ × (0,\infty)$ where $p>1$, $Δ_p u = div(|∇ u|^{p-2} ∇ u )$ and $f$ is a continuous, nondecreasingnonnegative function such that $f(0)=0$. In the case$p>\frac{2N}{N+1}$, we provide a sufficient condition on …