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Some Lower Bounds for Solutions of Schrödinger Evolutions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2019Embargo end date: 01 Jan 2018 Spain English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 51, pages 3,324-3,336 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )Funded by:EC | HADE
Authors: Agirre, Mikel; Vega, Luis;

doi: 10.1137/18m1218133 , 10.48550/arxiv.1808.04763

arXiv: http://arxiv.org/abs/1808.04763

handle: 20.500.11824/1086

Some Lower Bounds for Solutions of Schrödinger Evolutions

Abstract

We present some lower bounds for regular solutions of Schr��dinger equations with bounded and time dependent complex potentials. Assuming that the solution has some positive mass at time zero within a ball of certain radius, we prove that this mass can be observed if one looks at the solution and its gradient in space-time regions outside of that ball.

Country
Spain
Related Organizations
Keywords

Mathematics - Analysis of PDEs, PDE uniqueness, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Schrödinger, Mathematical Physics, Analysis of PDEs (math.AP)

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green
hybrid
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