We consider a semilinear parabolic equation with flux at the boundary governed by a
nonlinear memory. We give some conditions for this problem which guarantee global …

We study the characterization of global solvability versus blow up in finite time for a porous
medium model including a balance of internal absorption with memory driven flux through …

We investigate local and global solvability for nonlinear diffusion models with boundary flux
driven by competing local and memory interactions. New local existence and comparison …

In this paper, we study the long-time behavior of solutions to the fast diffusion equation with
a memory boundary condition. The problem corresponds to a model introduced in previous …

Necessary and sufficient conditions for the global solvability of a slow diffusion model with
boundary flux governed by memory have been previously shown to be the same as those for …

This paper considers the stabilization of a heat equation with an integral type nonlocal
boundary condition. Via choosing a new intermediate target control system with …