Mean Field Type Control with Congestion

We analyze some systems of partial differential equations arising in the theory of mean field type control with congestion effects. We look for weak solutions. Our main result is the existence and uniqueness of suitably defined weak solutions, which are characterized as the optima of two optimal con...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Applied mathematics & optimization 2016-06, Vol.73 (3), p.393-418
Hauptverfasser:	Achdou, Yves, Laurière, Mathieu
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of Variations and Optimal Control Optimization CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Congestion Control Control systems Control theory DUALITY Mathematical analysis Mathematical and Computational Physics Mathematical Methods in Physics MATHEMATICAL SOLUTIONS Mathematics Mathematics and Statistics MEAN-FIELD THEORY Numerical and Computational Physics OPTIMAL CONTROL Optimization PARTIAL DIFFERENTIAL EQUATIONS Probability distribution Simulation Studies Systems Theory Theoretical Uniqueness
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We analyze some systems of partial differential equations arising in the theory of mean field type control with congestion effects. We look for weak solutions. Our main result is the existence and uniqueness of suitably defined weak solutions, which are characterized as the optima of two optimal control problems in duality.
ISSN:	0095-4616 1432-0606
DOI:	10.1007/s00245-016-9342-8