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

Neal Bez; Keith M. Rogers — 2013

Journal of the European Mathematical Society

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

A Calderón-Zygmund estimate with applications to generalized Radon transforms and Fourier integral operators

Malabika Pramanik; Keith M. Rogers; Andreas Seeger — 2011

Studia Mathematica

We prove a Calderón-Zygmund type estimate which can be applied to sharpen known regularity results on spherical means, Fourier integral operators, generalized Radon transforms and singular oscillatory integrals.

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