Well-posedness and Asymptotic Behaviour of Non-autonomous Linear Evolution Equations
Roland Schnaubelt · Birkhäuser Basel eBooks · 2002
There is a striking difference between autonomous and non-autonomous linear evolution equations. Autonomous problems are well understood in the framework of strongly continuous operator semigroups and their generalizations. The Hille-Yosida type theorems settle the question of well-posedness to a great extend, many perturbation and approximation results have been established, and for a large class of problems the asymptotic behaviour can be studied on the basis of spectral theory and transform methods. In these and many other areas semigroup theory has reached a considerable degree of maturity, and its applications thrive in plenty of fields. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.