Maximum and minimum principles for nonlinear transport equations on discrete-space domains

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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Bibliographic Details
Main Author: Jonas Volek
Format: Article
Language:English
Published: Texas State University 2014-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlinear transport equation
discrete-space domain
maximum principles
existence
uniqueness
sign preservation
uniform stability
nonlinear comparison theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2014/78/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2014/78/abstr.html

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