Lehrinhalte
treatment of operator semigroups, characterisations due to Hille-Yoshida, Lumer-Philipps and Stone, perturbation and approximation results, spectral theory for semigroups and their generators, examples of evolution equations, asymptotic of evolution equations.
Literatur
Engel, Nagel: One-parameter semigroups for linear evolution equations, Springer, New York, 2000
Pazy: Semigroups of linear operators and applications to partial differential equations, Springer, New York, 1992
Arendt, Betty, Hieber, Neubrander: Vector-valued Laplace transforms and Cauchy problems, Birkhäuser, Basel, 2011
Voraussetzungen
recommended: Functional Analysis
Online-Angebote
moodle
treatment of operator semigroups, characterisations due to Hille-Yoshida, Lumer-Philipps and Stone, perturbation and approximation results, spectral theory for semigroups and their generators, examples of evolution equations, asymptotic of evolution equations.
Literatur
Engel, Nagel: One-parameter semigroups for linear evolution equations, Springer, New York, 2000
Pazy: Semigroups of linear operators and applications to partial differential equations, Springer, New York, 1992
Arendt, Betty, Hieber, Neubrander: Vector-valued Laplace transforms and Cauchy problems, Birkhäuser, Basel, 2011
Voraussetzungen
recommended: Functional Analysis
Online-Angebote
moodle
- Lehrende: Anonym
Semester: ST 2020