SUBJECT
Title
Operator semigroups
Type of instruction
lecture + practical
Level
master
Faculty
Part of degree program
Credits
3+3
Recommended in
Semesters 1-4
Typically offered in
Autumn/Spring semester
Course description
Linear theory of operator semigroups. Abstract linear Cauchy problems, Hille-Yosida theory. Bounded and unbounded perturbation of generators. Spectral theory for semigroups and generators. Stability and hyperbolicity of semigroups. Further asymptotic properties.
Readings
Engel, K.-J. and Nagel, R.: One-parameter Semigroups for Linear Evolution Equations, Springer, 2000.