Existence of Nonnegative Solutions of Nonlinear Fractional Parabolic Inequalities

Steven D. Taliaferro

We study the existence of nontrivial nonlocal nonnegative solutions $u(x,t)$ of the nonlinear initial value problems \[ (\partial_t -Δ)^αu\geq u^λ\quad \text{in } \mathbb{R}^n \tim…