ANALYSIS SEMINAR: Algebraic method of group classification for semi-normalized classes of differential equations
Starts 24 Jun 2025 16:00
Ends 24 Jun 2025 17:00
Central European Time
HYBRID
Leonardo Building - Luigi Stasi Seminar Room
and via Zoom
Abstract: The theory of semi-normalized classes of differential equations is studied and generalized by using the extended algebraic method of group classification of such classes. We prove the theorems on factoring out symmetry groups and invariance algebras of systems from semi-normalized classes and on splitting such groups and algebras within disjointedly semi-normalized classes. To illustrate the efficiency of the developed theory, we apply it to the group classification problem for the class of (1+n)-dimensional linear Schroedinger equations with complex-valued potentials for the general value of n ⩾1.