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

Neal Bez; Keith M. Rogers

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 3, page 805-823
  • ISSN: 1435-9855

Abstract

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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 ( 5 + 1 ) norm of the solution in terms of the energy. We also characterise the maximisers.

How to cite

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Bez, Neal, and Rogers, Keith M.. "A sharp Strichartz estimate for the wave equation with data in the energy space." Journal of the European Mathematical Society 015.3 (2013): 805-823. <http://eudml.org/doc/277211>.

@article{Bez2013,
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.},
author = {Bez, Neal, Rogers, Keith M.},
journal = {Journal of the European Mathematical Society},
keywords = {Strichartz estimates; wave equation; sharp constants; Strichartz estimates; wave equation; sharp constants},
language = {eng},
number = {3},
pages = {805-823},
publisher = {European Mathematical Society Publishing House},
title = {A sharp Strichartz estimate for the wave equation with data in the energy space},
url = {http://eudml.org/doc/277211},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Bez, Neal
AU - Rogers, Keith M.
TI - A sharp Strichartz estimate for the wave equation with data in the energy space
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 3
SP - 805
EP - 823
AB - 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.
LA - eng
KW - Strichartz estimates; wave equation; sharp constants; Strichartz estimates; wave equation; sharp constants
UR - http://eudml.org/doc/277211
ER -

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