discipline

Mathematics

subject

Infinite dimensional dynamical systems II.

lecturers

András Bátkai, Eszter Sikolya

credits

2

period

4

curriculum

Linear theory of operator semigroups continued. Approximation of semigroups. Positive semigroups. Inhomogeneous equations. Semilinear equations, existence theorems, analytic semigroups. Examples: reaction-diffusion equations, Korteweg-deVries (KdV) equation.

 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