A Short Course on Operator Semigroups

The book offers a direct and uptodate introduction to the theory of oneparameter semigroups of linear operators on Banach spaces. It contains thefundamental res... » 

The book offers a direct and uptodate introduction to the theory of oneparameter semigroups of linear operators on Banach spaces. It contains thefundamental results of the theory such as the HilleYoshida generation theoremthe bounded perturbation theorem and the TrotterKato approximation theorembut also treats the spectral theory of semigroups and its consequences for thequalitative behavior. The book is intended for students and researchers whowant to become acquainted with the concept of semigroups in order to work withit in fields like partial and functional differential equations stochasticprocesses infinite dimensional control theory or dynamical systems comingfrom physics or biology. TOCPreface. Introduction. Semigroups Generatorsand Resolvents. Perturbation of Semigroups. Approximation of Semigroups.Spectral Theory and Asymptotics for Semigroups. Positive Semigroups.Appendix. References. Selected References to Recent Research. List ofSymbols and Abbreviations. Index. «