This book presents novel results by participants of the conference "Control theory of infinite-dimensional systems" that took place in January 2018 at the FernUniversitat in Hagen. Topics include well-posedness, controllability, optimal control problems as well as stability of linear and nonlinear systems, and are covered by world-leading experts in these areas. A distinguishing feature of the contributions in this volume is the particular combination of researchers from different fields in mathematics working in an interdisciplinary fashion on joint projects in mathematical system theory. More explicitly, the fields of partial differential equations, semigroup theory, mathematical physics, graph and network theory as well as numerical analysis are all well-represented.

PHYSIK III behandelt im ersten Teil die Optik. Nach einem historischen Exkurs wird zunachst die Lichtausbreitung auf der Grundlage der Maxwellschen Gleichungen behandelt. Die Diskussion der Methoden und Grenzen der klassischen geometrischen Optik fuhrt schliesslich zu den speziellen Wellenphanomenen wie der Beugung, der Interferenz oder der Polarisation. Der zweite Teil fuhrt in die ungewohnliche Welt der Quantenerscheinungen ein. Es sind die Quantenaspekte des Lichtes und die Wellenaspekte der Teilchen, die hier anhand des lichtelektrischen Effekts, des Hohlraumstrahlers, des Lasers sowie zahlreicher anderer Experimente diskutiert werden."

This book presents novel results by participants of the conference "Control theory of infinite-dimensional systems" that took place in January 2018 at the FernUniversitat in Hagen. Topics include well-posedness, controllability, optimal control problems as well as stability of linear and nonlinear systems, and are covered by world-leading experts in these areas. A distinguishing feature of the contributions in this volume is the particular combination of researchers from different fields in mathematics working in an interdisciplinary fashion on joint projects in mathematical system theory. More explicitly, the fields of partial differential equations, semigroup theory, mathematical physics, graph and network theory as well as numerical analysis are all well-represented.