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math.AP2019
Pointwise Bounds and Blow-up for Systems of Nonlinear Fractional Parabolic Inequalities
Steven Taliaferro
We investigate nonnegative solutions and of the nonlinear system of inequalities \[0\leq(\partial_t -Δ)^αu\leq v^λ\] \[ 0\leq (\partial_t -Δ)^βv\leq u^σ\] in $\ma…
math.AP2019
Pointwise Bounds and Blow-up for Nonlinear Fractional Parabolic Inequalities
Steven D. Taliaferro
We investigate pointwise upper bounds for nonnegative solutions of the nonlinear initial value problem \begin{equation}\label{0.1} 0\leq(\partial_t-Δ)^αu\leq u^λ\quad\text…