Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations
J.P., Raymond ; Zidani, H.
HAL, hal-01254052 / Harvested from HAL
Text on HAL
In this paper we study optimal control problems governed by semilinear parabolic equations. We obtain necessary optimality conditions in the form of an exact Pontryagin's minimum principle for distributed and boundary controls (which can be unbounded) and bounded initial controls. These optimality conditions are obtained thanks to new regularity results for linear and nonlinear parabolic equations.
Publié le : 1999-07-04
Classification:  Optimal control,  Nonlinear boundary controls,  Semilinear parabolic equations,  Pontryagin's minimum principle,  Unbounded controls,  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-01254052,
     author = {J.P., Raymond and Zidani, H.},
     title = {Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01254052}
}

J.P., Raymond; Zidani, H. Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01254052/