Optimal control of parabolic variational inequality involving state constraint

Nonlinear Analysis, Theory, Methods and Applications

Volumn 42, Issue 5, 2000, Pages 789-801

  Wang, Gengsheng ^a  

^a CENTRAL CHINA NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; FUNCTIONS; GRAPH THEORY; MATHEMATICAL OPERATORS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; SET THEORY; VARIATIONAL TECHNIQUES;

BANACH SPACE; HILBERT SPACE; LINEAR OPERATOR; MAXIMAL MONOTONE GRAPH; PARABOLIC VARIATIONAL INEQUALITY; STATE CONSTRAINT;

NONLINEAR EQUATIONS;

EID: 0343006820     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00124-8     Document Type: Article

References (8)

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3. F.H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983.
4. X. Li, J. Yong, Optimal control Theory for Infinite Dimentional System, Birhauser, Boston, 1995.
5. X. Li, J. Yong, Necessary conditions of optimal control of distributed parameter system, SIAM J. Control Optim. 29 (1991) 895-908.
6. N. Pavel, Nonlinear Evolution Operators and Semigroups, Lecture Notes in Mathematics, vol. 1260, Springer, Berlin, 1987.
7. N. Pavel, Optimal control of some partial differential equations with two point boundary conditions, Lecture Notes Pure Appl. Math. 160 (1994) 49-68.
8. Zheng-Xu He, State constrained control problems governed by variational inequalities, SIAM J. Control Optim. 25 (5) (1987).