Maximizers for the Strichartz Inequality

Damiano Foschi

Journal of the European Mathematical Society (2007)

  • Volume: 009, Issue: 4, page 739-774
  • ISSN: 1435-9855

Abstract

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We compute explicitly the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for the Schrödinger equation and for the wave equation in the cases when the Lebesgue exponent is an even integer.

How to cite

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Foschi, Damiano. "Maximizers for the Strichartz Inequality." Journal of the European Mathematical Society 009.4 (2007): 739-774. <http://eudml.org/doc/277210>.

@article{Foschi2007,
abstract = {We compute explicitly the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for the Schrödinger equation and for the wave equation in the cases when the Lebesgue exponent is an even integer.},
author = {Foschi, Damiano},
journal = {Journal of the European Mathematical Society},
keywords = {Strichartz estimates; Schrödinger equation; wave equation; functional equations; best constants},
language = {eng},
number = {4},
pages = {739-774},
publisher = {European Mathematical Society Publishing House},
title = {Maximizers for the Strichartz Inequality},
url = {http://eudml.org/doc/277210},
volume = {009},
year = {2007},
}

TY - JOUR
AU - Foschi, Damiano
TI - Maximizers for the Strichartz Inequality
JO - Journal of the European Mathematical Society
PY - 2007
PB - European Mathematical Society Publishing House
VL - 009
IS - 4
SP - 739
EP - 774
AB - We compute explicitly the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for the Schrödinger equation and for the wave equation in the cases when the Lebesgue exponent is an even integer.
LA - eng
KW - Strichartz estimates; Schrödinger equation; wave equation; functional equations; best constants
UR - http://eudml.org/doc/277210
ER -

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