2 citations · 2 across the 12 of their papers we have counts for
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Existence of Nonnegative Solutions of Nonlinear Fractional Parabolic Inequalities
Steven D. Taliaferro
We study the existence of nontrivial nonlocal nonnegative solutions of the nonlinear initial value problems \[ (\partial_t -Δ)^αu\geq u^λ\quad \text{in } \mathbb{R}^n \tim…
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…
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…
Initial pointwise bounds and blow-up for parabolic Choquard-Pekar inequalities
Steven D. Taliaferro
We study the behavior as of nonnegative functions \begin{equation}\label{0.1} u\in C^{2,1} (\mathbb{R}^n\times (0,1)) \cap L^λ(\mathbb{R}^n\times (0,1)),\quad n\ge 1, \e…
Pointwise Bounds and Blow-up for Choquard-Pekar Inequalities at an Isolated Singularity
Marius Ghergu, Steven D. Taliaferro
We study the behavior near the origin in , of nonnegative functions \begin{equation}\label{0.1} u\in C^2 (\mathbb{R}^n \backslash \{0\})\cap L^λ(\mathbb{R}^n…
Pointwise Bounds and Blow-up for Nonlinear Polyharmonic Inequalities
Steven D. Taliaferro
We obtain results for the following question where and are integers. Question. For which continuous functions does there exist…