Vol. 264, No. 2, 2013

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Linear restriction estimates for the wave equation with an inverse square potential

Junyong Zhang and Jiqiang Zheng

Vol. 264 (2013), No. 2, 491–510
Abstract

We study modified linear restriction estimates associated with the wave equation with an inverse square potential. In particular, we show that the classical linear restriction estimates hold in their almost sharp range when the initial data is radial.

Keywords
linear restriction estimate, spherical harmonics, Bessel function, inverse square potential
Mathematical Subject Classification 2010
Primary: 42B37, 35Q40, 47J35
Milestones
Received: 30 April 2012
Accepted: 12 March 2013
Published: 28 July 2013
Authors
Junyong Zhang
Department of Mathematics
Beijing Institute of Technology
Beijing 100081
China
Jiqiang Zheng
The Graduate School of China
Academy of Engineering Physics
P. O. Box 2101
Beijing 100088
China