Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

Nicolas Burq; Fabrice Planchon; John G. Stalker; A. Shadi Tahvildar-Zadeh

doi:10.1016/S0022-1236(03)00238-6

Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

Nicolas Burq, Fabrice Planchon, John G. Stalker, A. Shadi Tahvildar-Zadeh

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

192 Scopus citations

Abstract

We prove spacetime weighted-L² estimates for the Schrödinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations.

Original language	English (US)
Pages (from-to)	519-549
Number of pages	31
Journal	Journal of Functional Analysis
Volume	203
Issue number	2
DOIs	https://doi.org/10.1016/S0022-1236(03)00238-6
State	Published - Oct 1 2003

All Science Journal Classification (ASJC) codes

Analysis

Keywords

Inverse-square potential
Morawetz estimate
Schrödinger equation
Smoothing estimate
Strichartz estimate
Wave equation

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10.1016/S0022-1236(03)00238-6

Cite this

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title = "Strichartz estimates for the wave and Schr{\"o}dinger equations with the inverse-square potential",

abstract = "We prove spacetime weighted-L2 estimates for the Schr{\"o}dinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations.",

keywords = "Inverse-square potential, Morawetz estimate, Schr{\"o}dinger equation, Smoothing estimate, Strichartz estimate, Wave equation",

author = "Nicolas Burq and Fabrice Planchon and Stalker, {John G.} and Tahvildar-Zadeh, {A. Shadi}",

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T1 - Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

AU - Burq, Nicolas

AU - Planchon, Fabrice

AU - Stalker, John G.

AU - Tahvildar-Zadeh, A. Shadi

PY - 2003/10/1

Y1 - 2003/10/1

N2 - We prove spacetime weighted-L2 estimates for the Schrödinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations.

AB - We prove spacetime weighted-L2 estimates for the Schrödinger and wave equation with an inverse-square potential. We then deduce Strichartz estimates for these equations.

KW - Inverse-square potential

KW - Morawetz estimate

KW - Schrödinger equation

KW - Smoothing estimate

KW - Strichartz estimate

KW - Wave equation

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SN - 0022-1236

VL - 203

SP - 519

EP - 549

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 2

ER -

Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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