On the validity of the maximum principle and of the Euler-lagrange equation for a minimum problem depending on the gradient

SIAM Journal on Control and Optimization

Volumn 36, Issue 6, 1998, Pages 1987-1998

  Cellina, Arrigo ^a   Perrotta, Stefania ^b  

^a UNIVERSITY OF MILAN   (Italy)

^b UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

Author keywords

Euler lagrange equations; Extended valued functions; Hamilton jacobi control systems; Pontryagin maximum principle

Indexed keywords

BOUNDARY CONDITIONS; CONTROL SYSTEMS; FUNCTIONS; PROBLEM SOLVING; SET THEORY;

EULER-LAGRANGE EQUATION; EXTENDED VALUED FUNCTIONS; HAMILTON JACOBI CONTROL SYSTEMS; MINIMUM PROBLEM;

MAXIMUM PRINCIPLE;

EID: 0032206289     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012996311319     Document Type: Article

References (5)

1. p = f and related extremal problems. Some topics in linear PDEs, Rend. Sem. Mat. Univ. Politec. Torino, 1989.
2. I. EKELAND AND R. TEMAM, Convex Analysis and Variational Problems, North-Holland, Amsterdam, 1976.
3. L.C. EVANS AND R.F. GARIEPY, Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton, FL, 1992.
4. M. GIAQUINTA, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Princeton University Press, Princeton, NJ, 1983.
5. L. PONTRYAGIN. V. BOLTYANSKII, R. GAMKRELIDZE, AND E. MISHCHENKO, The Mathematical Theory of Control Processes, Interscience, New York, 1962.