On extremisers to a bilinear Strichartz inequality

Abstract

In this note, we show that a pair of Gaussian functions are extremisers to a bilinear Strichartz inequality, and unique up to the symmetry group of the inequality.

6 pages. The constant in defining the inverse Fourier transform is corrected;the expression of convolution of measures is corrected

References in corpus (2)

• Maximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schrödinger equation
• On Restricting Cauchy-Pexider Equations to Submanifolds