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Local Decay Estimates

delete2025-02-13
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OA
AI
A
Avy Soffer *
吴
吴晓旭 (Xiaoxu Wu)
DOI:10.1007/s00205-025-02089-wdelete
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Abstract

Abstract

En 中文
We give a proof of local decay estimates for Schr & ouml;dinger-type equations, which is based on the knowledge of Asymptotic Completeness. This approach extends to time dependent potential perturbations, as it does not rely on Resolvent Estimates or related methods. Global in time Strichartz estimates follow for quasi-periodic time-dependent potentials from our results.
Keywords:
ASYMPTOTIC COMPLETENESS
SCHRODINGER-EQUATIONS
TIME-DECAY
SCATTERING
PROOF

Journal

Archive for Rational Mechanics and Analysis cover
Archive for Rational Mechanics and Analysis
IF:
2.4
Papers:
172
Citations:
1.2W

Organization

A
australia natl univ
Scholars:
5
Papers: 5
Citations: 1
R
Rutgers State Univ
Scholars:
1.1K
Papers: 742
Citations: 296
Cited Papers

Cited Papers

Time Dependent Resonance Theory
err1998-12-01
err0
PREAI
errA. Soffer; M.I. Weinstein
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Endpoint Strichartz estimates
err1998-10-01
err0
errOAAI
errMarkus Keel; Terence Tao
errShare
errSave
A new proof of the Mourre estimate
err1982-12-01
err0
PREAI
errRichard Froese; Ira Herbst
errShare
errSave
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