SEMI-CLASSICAL RESOLVENT ESTIMATES FOR SHORT-RANGE L ∞ POTENTIALS. II

Georgi Vodev (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We prove semi-classical resolvent estimates for real-valued potentials V ∈ L ∞ (R n), n ≥ 3, of the form V = VL + VS, where VL is a long-range potential which is C 1 with respect to the radial variable, while VS is a short-range potential satisfying VS(x) = O x −δ with δ > 1.

Mots clés: short-range potentials; resolvent estimates; Schrödinger operator

Domaines: Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Georgi Vodev. SEMI-CLASSICAL RESOLVENT ESTIMATES FOR SHORT-RANGE L ∞ POTENTIALS. II. Asymptotic Analysis, 2020, 118 (4), pp.297-312. ⟨hal-01967637v3⟩