Advances in Differential Equations
- Adv. Differential Equations
- Volume 11, Number 1 (2006), 1-33.
Optimal control problems governed by semilinear parabolic equations with low regularity data
We study the existence of optimal controls for problems governed by semilinear parabolic equations. The nonlinearities in the state equation need not be monotone and the data need not be regular. In particular, the control may be any bounded Radon measure. Our examples include problems with nonlinear boundary conditions and parabolic systems.
Adv. Differential Equations Volume 11, Number 1 (2006), 1-33.
First available in Project Euclid: 18 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 49J20: Optimal control problems involving partial differential equations
Secondary: 35K55: Nonlinear parabolic equations
Amann, H.; Quittner, P. Optimal control problems governed by semilinear parabolic equations with low regularity data. Adv. Differential Equations 11 (2006), no. 1, 1--33. https://projecteuclid.org/euclid.ade/1355867722.