Spectral multipliers and wave propagation for Hamiltonians with a scalar potential

被引：1

作者：

Beceanu, Marius ^{[1
]}

Goldberg, Michael ^{[2
]}

机构：

[1] SUNY Albany, Math & Stat Dept, 1400 Washington Ave, Albany, NY 12222 USA

[2] Univ Cincinnati, Dept Math Sci, 2815 Commons Way, Cincinnati, OH 45221 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 06期

关键词：

Spectral multipliers; Scalar potential; Strichartz estimates; Weak-type estimates; SCHRODINGER-OPERATORS; EQUATION; ABSENCE;

D O I：

10.1016/j.jfa.2023.110300

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend several fundamental estimates regarding spectral multipliers for the free Laplacian on R3 to the case of perturbed Hamiltonians of the form -Delta + V, where V is a scalar real-valued potential. In this paper, we prove resolvent estimates, a dispersive bound for the perturbed wave propagator, Mihlin multiplier and fractional integration bounds, and the full range of wave equation Strichartz estimates, under optimal or almost optimal scaling-invariant conditions on the potential and on the spectral multipliers themselves. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：41

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