Dirichlet Forms and Spectral Theory (reading course)
Number of credits: 10 hp
Examiner: Jörg-Uwe Löbus
Course literature:  Zhi-Ming Ma, Michael Röckner, Introduction to the theory of (non-symmetric) Dirichlet forms, Springer 1992, chap. 1-5  Hans Triebel, Higher Analysis, J.A. Barth, 1992, chap. 4.
Course contents: semigroup theory and Dirichlet forms, potential theory and Dirichlet forms, Markov processes and Dirichlet forms, characterization of particular processes; selfadjoint operators, spectral representation, - of general and particular selfadjoint operators and their domains, Sobolev spaces and selfadjoint operators.
Organisation: 1-2 consultations per week.
Examination: Oral exam, hand in assignment.
Prerequisites: Master in Mathematics or equivalent.
Last updated: 2014-04-29