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Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory |
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| Authors: | Jeffrey R Anderson Keng Deng Qian Wang |
| Institution: | 1. Department of Mathematical Sciences, Indiana University–Purdue University Fort Wayne, Fort Wayne, IN, USA;2. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA |
| 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. Copyright © 2016 John Wiley & Sons, Ltd. |
| Keywords: | fast diffusion equation global existence blow up in finite time memory boundary condition |