Abstract
Consider the Schrödinger equation {fx25-1}. The following estimates are proved: (A) If V≡0 then for any 0≤α<1/2, {fx25-2}, and for α=1/2, s>1/2, {fx25-3} (B) If |V(x)|≤C(1+|x|2)-1-δ, δ>0, then (if 0 is neither an eigenvalue nor a resonance of -Δ+V), {fx25-4}.
Original language | English (US) |
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Pages (from-to) | 25-37 |
Number of pages | 13 |
Journal | Journal d'Analyse Mathématique |
Volume | 58 |
Issue number | 1 |
DOIs | |
State | Published - Dec 1992 |
All Science Journal Classification (ASJC) codes
- Analysis
- General Mathematics