Existence of continuous solutions to evolutionary quasi-variational inequalities with applications

<p>The author presents dynamic elastic traffic equilibrium problems with data depending explicitly on time and studies under which assumptions the continuity of solutions with respect to the time can be ensured. In particular, regularity results for solutions to time-dependent quasi-variational...

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Bibliographic Details
Main Author: Annamaria Barbagallo
Format: Article
Language:English
Published: Università degli Studi di Catania 2007-12-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/25
Description
Summary:<p>The author presents dynamic elastic traffic equilibrium problems with data depending explicitly on time and studies under which assumptions the continuity of solutions with respect to the time can be ensured. In particular, regularity results for solutions to time-dependent quasi-variational inequalities associated to a general class of closed lower semicontinuous multifunctions will be showed. These results will be obtained making use of the property of the Mosco&rsquo;s convergence. At last, it will be applied an example of the dynamic elastic traffic equilibrium problem.</p>
ISSN:0373-3505
2037-5298