Event

Alexander Kheyfits, CUNY

Friday, November 24, 2017 14:00to15:00
Room VCH-2820, Université Laval, CA

Schroedingerian subharmonic functions

Schroedingerian subharmonic functions are weak subsolutions of the stationary Schroedinger equation −∆u(x) + c(x)u(x) = 0 under appropriate assumptions on the potential c, defined in an n-dimensional domain in R^n. For these functions, we consider the generalizations and analogs of properties of the classical subharmonic functions, such as, e.g., the Phragmen-Lindelof principle, the Fatou pointwise theorem, the Blaschke, Hayman-Azarin, Matsaev theorems. If the potential c(x) is dominated by the inverse square |x|^(−2) , then the results are similar to those in the classical case, while if the potential grows faster, certain properties are essentially different.
Back to top