A Sharp Bilinear Estimate for the Klein-Gordon Equation in R1+1

作者:Ozawa Tohru; Rogers Keith M*
来源:International Mathematics Research Notices, 2014, (5): 1367-1378.
DOI:10.1093/imrn/rns254

摘要

We prove a sharp bilinear estimate for the one-dimensional Klein-Gordon equation. The proof involves an unlikely combination of five trigonometric identities. We also prove new estimates for the restriction of the Fourier transform to the hyperbola, where the pullback measure is not assumed to be compactly supported.

  • 出版日期2014