Title

Global Behavior of Solutions to the Fast Diffusion Equation with Boundary Flux Governed by Memory

Document Type

Article

Publication Date

2-22-2016

Publication Source

Mathematical Methods in the Applied Sciences

DOI

10.1002/mma.3874

Peer Reviewed

yes

Abstract

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.

Keywords

fast diffusion equation; global existence; blow up in finite time; memory boundary condition

Disciplines

Mathematics

This document is currently not available here.

  Contact Author

Share

COinS