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

Journal of the European Mathematical Society (2013)

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

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topBez, 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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