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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer-Verlag

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DOI

10.1007/bf01304211

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1432-0916

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Dispersive Estimates for Schrödinger Equations wit

Authors: K Yajima
Publish Date: 2005/06/28
Volume: 259, Issue: 2, Pages: 475-509
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Abstract

Let H=−Δ+Vx be a three dimensional Schrödinger operator We study the time decay in L p spaces of scattering solutions e− itH P c u where P c is the orthogonal projection onto the continuous spectral subspace of L2R3 for H Under suitable decay assumptions on Vx it is shown that they satisfy the socalled L p L q estimates e− itH P c u p ≤4πt−31/2−1/ p u q for all 1≤q≤2≤p≤∞ with 1/p+1/q=1 if H has no threshold resonance and eigenvalue and for all 3/2q≤2≤p3 if otherwise

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  2. Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality
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  16. Phase Boundaries in Algebraic Conformal QFT
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