Beschreibung:
The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems.
to Shape Optimization Theory and Some Classical Problems.- Optimization Problems over Classes of Convex Domains.- Optimal Control Problems: A General Scheme.- Shape Optimization Problems with Dirichlet Condition on the Free Boundary.- Existence of Classical Solutions.- Optimization Problems for Functions of Eigenvalues.- Shape Optimization Problems with Neumann Condition on the Free Boundary.