Decay and regularity for the schrödinger equation |
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| Authors: | Matania Ben-artzi Sergiu Klainerman |
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| Institution: | (1) Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel;(2) Department of Mathematics, Princeton University, 08540 Princeton, NJ, USA |
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| Abstract: | Consider the Schrödinger equation {fx25-1}. The following estimates are proved: (A) IfV≡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}. |
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