Time-dependent subdifferential evolution inclusions and optimal control

by Hu, Shouchuan

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Title Statements

Full title :Time-dependent subdifferential evolution inclusions and optimal control / Shouchuan Hu, Nikolaos S. Papageorgiou.

Edition Statements

Publication Date:©1998

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:©1998

Notes

"May 1998, volume 133, number 632 (third of 5 numbers)."

The Physical Object

Description:1 online resource (97 pages)

Edition Identifiers

ISBN:9781470402211, 1470402211
oclc:ocn908039706
LC Classification:QA331
Dewey Decimal:510 s

1. Introduction -- 2. Preliminaries: Mathematical Background and Terminology -- 3. Evolution Inclusions -- 3.1. Existence results -- 3.2. Extremal Solutions -- 3.3. Relaxation Theorem -- 3.4. Convergence Theorems -- 3.5. Parametrized Relaxation -- 3.6. A Topological Property of the Solution Set -- 4. Optimal Control -- 4.1. Existence Theory -- 4.2. Relaxed Problem -- 4.3. Well Posedness -- 4.4. Relaxability vs. Well-Posedness -- 5. Applications -- 5.1. Obstacle Problems -- 5.2. Navier-Stokes Equations -- 5.3. Multivalued p.d.e's.

5.4. Nonlinear p.d.e's with Time Dependent Constraints -- 5.5. Parametric Optimal Control Problems -- 5.6. Differential Variational Inequalities -- References.

Subjects

Control theory Differential inclusions Équations d'évolution Evolution equations Inclusions différentielles Mathematical optimization Optimisation mathématique Sous-différentiels Subdifferentials Théorie de la commande