Asymptotic behavior of subfunctions of time-independent Schrödinger operators. (English) Zbl 1232.35198
Escassut, A. (ed.) et al., Some topics on value distribution and differentiability in complex and -adic analysis. Beijing: Science Press (ISBN 978-7-03-020406-6). Mathematics Monograph Series 11, 323-397 (2008).
Summary: For solutions of the inequality , several analogs of classical results on analytic and subharmonic functions are derived, such as the Phragmén-Lindelöf theorem with the precise rate of growth, the Blaschke theorem on bounded analytic functions, the Carleman formula, and the Hayman-Azarin theorem.
|35R45||Partial differential inequalities|
|31B05||Harmonic, subharmonic, superharmonic functions (higher-dimensional)|
|35B40||Asymptotic behavior of solutions of PDE|
|35B53||Liouville theorems, Phragmén-Lindelöf theorems (PDE)|