Maximum and minimum principles for nonlinear transport equations on discrete-space domains
We consider nonlinear scalar transport equations on the domain with discrete space and continuous time. As a motivation we derive a conservation law on these domains. In the main part of the paper we prove maximum and minimum principles that are later applied to obtain an a priori bound whi...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/78/abstr.html |