# Bilinear virial identities and applications

Annales scientifiques de l'École Normale Supérieure (2009)

- Volume: 42, Issue: 2, page 261-290
- ISSN: 0012-9593

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topPlanchon, Fabrice, and Vega, Luis. "Bilinear virial identities and applications." Annales scientifiques de l'École Normale Supérieure 42.2 (2009): 261-290. <http://eudml.org/doc/272210>.

@article{Planchon2009,

abstract = {We prove bilinear virial identities for the nonlinear Schrödinger equation, which are extensions of the Morawetz interaction inequalities. We recover and extend known bilinear improvements to Strichartz inequalities and provide applications to various nonlinear problems, most notably on domains with boundaries.},

author = {Planchon, Fabrice, Vega, Luis},

journal = {Annales scientifiques de l'École Normale Supérieure},

keywords = {nonlinear Schrödinger equation; Virial identity; exterior domain},

language = {eng},

number = {2},

pages = {261-290},

publisher = {Société mathématique de France},

title = {Bilinear virial identities and applications},

url = {http://eudml.org/doc/272210},

volume = {42},

year = {2009},

}

TY - JOUR

AU - Planchon, Fabrice

AU - Vega, Luis

TI - Bilinear virial identities and applications

JO - Annales scientifiques de l'École Normale Supérieure

PY - 2009

PB - Société mathématique de France

VL - 42

IS - 2

SP - 261

EP - 290

AB - We prove bilinear virial identities for the nonlinear Schrödinger equation, which are extensions of the Morawetz interaction inequalities. We recover and extend known bilinear improvements to Strichartz inequalities and provide applications to various nonlinear problems, most notably on domains with boundaries.

LA - eng

KW - nonlinear Schrödinger equation; Virial identity; exterior domain

UR - http://eudml.org/doc/272210

ER -

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