discipline

Mathematics

subject

Infinite dimensional dynamical systems I.

lecturers

András Bátkai, Eszter Sikolya

credits

2

period

3

curriculum

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.

 literature

Engel, K.-J. and Nagel, R.: One-parameter Semigroups for Linear Evolution Equations, Springer, 2000.

Henry, D.: Geometric Theory of Semilinear Parabolic Equations, Springer, 1981.

Smoller, J.: Theory of Shock Waves, Springer, 1983.

form of tuition

Lectures

mode of assessment

oral exam