A sharp Strichartz estimate for the wave equation with data in the energy space

Neal Bez, Keith M. Rogers

Type: Article

Publication Date: 2013-03-20

Citations: 38

DOI: https://doi.org/10.4171/jems/377

Abstract

We prove a sharp bilinear estimate for the wave equation from which we obtain the sharp constant in the Strichartz estimate which controls the L^{4}_{t,x}(\mathbb R^{5+1}) norm of the solution in terms of the energy. We also characterise the maximisers.

Locations

arXiv (Cornell University) - View - PDF
DIGITAL.CSIC (Spanish National Research Council (CSIC)) - View - PDF
University of Birmingham Research Portal (University of Birmingham) - View - PDF
Journal of the European Mathematical Society - View - PDF

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+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	On the regularity properties of a model problem related to wave maps	1997	Sergiù Klainerman Matei Machedon
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+ PDF Chat	Oscillatory integrals and multipliers on FLp	1973	Lars Hörmander
+ PDF Chat	Mass concentration phenomena for the $L^2$-critical nonlinear Schrödinger equation	2007	Pascal Bégout Ana Vargas
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz
+ PDF Chat	On the restriction of the Fourier transform to a conical surface	1985	Bartolome Barcelo Taberner
+	Sharp Null Form Estimates for the Wave Equation in	2008	Sanghyuk Lee Keith M. Rogers Ana Vargas