scholarly journals Weak maximum principle for Dirichlet problems with convection or drift terms

2021 ◽  
Vol 3 (3) ◽  
pp. 1-9
Author(s):  
Lucio Boccardo ◽  
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◽  
◽  
Keyword(s):  
Maximum Principle ◽  
Dirichlet Problems ◽  
Weak Maximum Principle ◽  
Drift Terms

A weak maximum principle for optimal control problems with mixed constraints under a constant rank condition

2020 ◽  
Vol 37 (3) ◽  
pp. 1021-1047
Author(s):  
Roberto Andreani ◽  
Valeriano Antunes de Oliveira ◽  
Jamielli Tomaz Pereira ◽  
Geraldo Nunes Silva
Keyword(s):  
Optimal Control ◽  
Maximum Principle ◽  
Optimal Control Problems ◽  
Necessary Optimality Conditions ◽  
Inequality Constraints ◽  
Equality Constraints ◽  
Control Problems ◽  
Constant Rank ◽  
Rank Condition ◽  
Weak Maximum Principle

Abstract Necessary optimality conditions for optimal control problems with mixed state-control equality constraints are obtained. The necessary conditions are given in the form of a weak maximum principle and are obtained under (i) a new regularity condition for problems with mixed linear equality constraints and (ii) a constant rank type condition for the general non-linear case. Some instances of problems with equality and inequality constraints are also covered. Illustrative examples are presented.

scholarly journals A general form of the weak maximum principle and some applications

2013 ◽  
Vol 29 (4) ◽  
pp. 1437-1476 ◽  
Author(s):  
Guglielmo Albanese ◽  
Luis Alías ◽  
Marco Rigoli
Keyword(s):  
Maximum Principle ◽  
Weak Maximum Principle
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