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  • Lagrange multipliers  (1)
  • Penalization  (1)
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    Electronic Resource
    Electronic Resource
    Optimal control of parabolic problems with state constraints: a penalization method for optimality conditions (1994)
    Springer
    Applied mathematics & optimization 29 (1994), S. 285-307 
    Details
    ISSN: 1432-0606
    Keywords: Optimal control ; Optimality conditions ; State constraints ; Lagrange multipliers ; Parabolic systems ; Penalization ; 49B22
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper state constrained optimal control problems governed by parabolic evolution equations are studied. Our purpose is to obtain a (first-order) decoupled optimality system (that ensures the Lagrange multipliers existence). In a first step we are led to Slater-like assumptions and we are then allowed to extend the application field of the decoupled system we obtain. With a weaker assumption the existence of Lagrange multipliers (that are measures) for nonqualified problems may be established.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01189479
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