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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F14%3A43921947" target="_blank" >RIV/49777513:23520/14:43921947 - isvavai.cz</a>
Result on the web
<a href="http://ejde.math.txstate.edu/Volumes/2014/78/volek.pdf" target="_blank" >http://ejde.math.txstate.edu/Volumes/2014/78/volek.pdf</a>
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Maximum and minimum principles for nonlinear transport equations on discrete-space domains
Original language description
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 which is applied in the proof of existence of solution and its uniqueness. Further, we study several consequences of these principles such as boundedness of solutions, sign preservation, uniform stability and comparisontheorem which deals with lower and upper solutions.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)