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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 $p$-adic analysis. Beijing: Science Press (ISBN 978-7-03-020406-6). Mathematics Monograph Series 11, 323-397 (2008).
Summary: For solutions of the inequality $\Delta u-c(x)u\ge 0$, 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. For the entire collection see [Zbl 1233.30005].

35R45Partial differential inequalities
31B05Harmonic, subharmonic, superharmonic functions (higher-dimensional)
35B40Asymptotic behavior of solutions of PDE
35B53Liouville theorems, Phragmén-Lindelöf theorems (PDE)
35J10Schrödinger operator