Global Behavior of Solutions to the Fast Diffusion Equation with Boundary Flux Governed by Memory
Mathematical Methods in the Applied Sciences
We study global existence and blow up in finite time for a one-dimensional fast diffusion equation with memory boundary condition. The problem arises out of a corresponding model formulated from tumor-induced angiogenesis. We obtain necessary and sufficient conditions for global existence of solutions to the problem.
fast diffusion equation; global existence; blow up in finite time; memory boundary condition
Jeff Anderson, Keng Deng, and Qian Wang (2016).
Global Behavior of Solutions to the Fast Diffusion Equation with Boundary Flux Governed by Memory. Mathematical Methods in the Applied Sciences.