ABSTRACT

Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.

part |85 pages

Minimization of functionals

part |174 pages

Stationary systems

chapter 3|39 pages

Linear systems

chapter 4|48 pages

Weakly nonlinear systems

chapter 5|34 pages

Strongly nonlinear systems

chapter 6|31 pages

Coefficients optimization control problems

chapter 7|18 pages

Systems with nonlinear control

part |197 pages

Evolutional systems

chapter 8|47 pages

Linear first-order evolution systems

chapter 9|53 pages

Nonlinear first order evolutional systems

chapter 10|45 pages

Second order evolutional systems

chapter 11|47 pages

Navier–Stokes equations

part |13 pages

Addition

chapter 12|11 pages

Functors of the differentiation