Title data
Schiela, Anton:
A continuity result for Nemyckii Operators and some applications in PDE constrained optimal control.
KonradZuseZentrum für Informationstechnik Berlin
Berlin, Germany
,
2006
.
 (ZIBReport
; 0641
)
Project information
Project title: 



Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
This work explores two applications of a classical result on the continuity of Nemyckii operators to optimal control with PDEs. First, we present an alternative approach to the analysis of Newton's method for function space problems involving semismooth Nemyckii operators. A concise proof for superlinear convergence is presented, and sharpened bounds on the rate of convergence are derived. Second, we derive second order sufficient conditions for problems, where the underlying PDE has poor regularity properties. We point out that the analytical structure in both topics is essentially the same.