Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation
We study reaction-diffusion equations with a general reaction function f on one-dimensional lattices with continuous or discrete time ux′ (or Δtux)=k(ux-1-2ux+ux+1)+f(ux), x∈Z. We prove weak and strong maximum and minimum principles for corresponding initial-boundary value problems. Whereas the ma...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/791304 |