OPTIMAL-CONTROL FOR PARABOLIC-SYSTEMS WITH COMPETITIVE INTERACTIONS

Authors
LENHART S PROTOPOPESCU V
Citation
S. Lenhart et V. Protopopescu, OPTIMAL-CONTROL FOR PARABOLIC-SYSTEMS WITH COMPETITIVE INTERACTIONS, Mathematical methods in the applied sciences, 17(7), 1994, pp. 509-524
Citations number
25
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
17
Issue
7
Year of publication
1994
Pages
509 - 524
Database
ISI
SICI code
0170-4214(1994)17:7<509:OFPWCI>2.0.ZU;2-V
Abstract
We consider a two-dimensional parabolic system with general competitiv e interactions as a two-player game with conflicting objectives and wi th controls on the inhomogeneous (source) terms. We show the existence of an optimal solution of the game as the saddle point of a suitable objective functional.