OPTIMUM DAMPING DESIGN FOR AN ABSTRACT WAVE-EQUATION

In this paper we address the question of ''optimal'' damping design in an abstract setting and precisely define and analyze various design c riteria which are of importance in applications. We formulate two abst ract optimization problems and discuss the necessary optimality condit ions for the problems. We will further illustrate our results in appli cation to a one-dimensional damped wave equation, and will present num erical results for different damping designs for this example.