2 citations · 2 across the 12 of their papers we have counts for
14 papers
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…