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, HilleYosida
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.: Oneparameter 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 