Global solvability for the heat equation with boundary flux governed by nonlinear memory

J Anderson, K Deng, Z Dong - Quarterly of applied mathematics, 2011 - ams.org
We introduce the study of global existence and blowup in finite time for the heat equation
with flux at the boundary governed by a nonlinear memory term. Via a simple transformation …

[HTML][HTML] Global solvability for the porous medium equation with boundary flux governed by nonlinear memory

JR Anderson, K Deng - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
We introduce the study of global existence and blow-up in finite time for nonlinear diffusion
equations with flux at the boundary governed by memory. Via a simple transformation, the …