OPTIMAL CONTROL PROBLEM WITH CONTROLS IN COEFFICIENTS OF QUASILINEAR ELLIPTIC EQUATION

2013 ◽  
Vol 1 (1) ◽  
pp. 21-38
Author(s):  
A.D. Iskenderov ◽  
◽  
R.K. Tagiyev ◽  
Keyword(s):  
Optimal Control ◽  
Elliptic Equation ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Quasilinear Elliptic Equation ◽  
Quasilinear Elliptic

scholarly journals Optimal control of a non-smooth quasilinear elliptic equation

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Christian Clason ◽  
◽  
Vu Huu Nhu ◽  
Arnd Rösch
Keyword(s):  
Optimal Control ◽  
Elliptic Equation ◽  
Quasilinear Elliptic Equation ◽  
Quasilinear Elliptic

A quasilinear elliptic equation in ℝN

1996 ◽  
Vol 126 (5) ◽  
pp. 911-921 ◽  
Author(s):  
O. Alvarez
Keyword(s):  
Lower Bound ◽  
Elliptic Equation ◽  
Control Problem ◽  
Stochastic Control ◽  
Quasilinear Elliptic Equation ◽  
Value Function ◽  
Optimal Criterion ◽  
Hamilton Jacobi Bellman ◽  
Quasilinear Elliptic ◽  
The Value Function

A quasilinear elliptic equation in ℝN of Hamilton-Jacobi-Bellman type is studied. An optimal criterion for uniqueness which involves only a lower bound on the functions is given. The unique solution in this class is identified as the value function of the associated stochastic control problem.

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