An Improved Strichartz Estimate for Systems with Divergence Free Data

Sagun Chanillo; Po Lam Yung

doi:10.1080/03605302.2011.594475

An Improved Strichartz Estimate for Systems with Divergence Free Data

Sagun Chanillo, Po Lam Yung^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Using the div-curl inequalities of Bourgain and Brezis [1] and van Schaftingen [9], we prove an improved Strichartz estimate for systems of inhomogeneous wave and Schrodinger equations, for which the inhomogeneity is a divergence-free vector field at each given time. The novelty of the result is that one can allow norms of the inhomogeneity in the right hand side of the estimate.

Original language	English
Pages (from-to)	225-233
Number of pages	9
Journal	Communications in Partial Differential Equations
Volume	37
Issue number	2
DOIs	https://doi.org/10.1080/03605302.2011.594475
Publication status	Published - Feb 2012
Externally published	Yes

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10.1080/03605302.2011.594475

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title = "An Improved Strichartz Estimate for Systems with Divergence Free Data",

abstract = "Using the div-curl inequalities of Bourgain and Brezis [1] and van Schaftingen [9], we prove an improved Strichartz estimate for systems of inhomogeneous wave and Schrodinger equations, for which the inhomogeneity is a divergence-free vector field at each given time. The novelty of the result is that one can allow norms of the inhomogeneity in the right hand side of the estimate.",

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author = "Sagun Chanillo and Yung, \{Po Lam\}",

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AU - Chanillo, Sagun

AU - Yung, Po Lam

PY - 2012/2

Y1 - 2012/2

N2 - Using the div-curl inequalities of Bourgain and Brezis [1] and van Schaftingen [9], we prove an improved Strichartz estimate for systems of inhomogeneous wave and Schrodinger equations, for which the inhomogeneity is a divergence-free vector field at each given time. The novelty of the result is that one can allow norms of the inhomogeneity in the right hand side of the estimate.

AB - Using the div-curl inequalities of Bourgain and Brezis [1] and van Schaftingen [9], we prove an improved Strichartz estimate for systems of inhomogeneous wave and Schrodinger equations, for which the inhomogeneity is a divergence-free vector field at each given time. The novelty of the result is that one can allow norms of the inhomogeneity in the right hand side of the estimate.

KW - Div-curl

KW - Divergence-free

KW - Strichartz estimates

UR - https://www.scopus.com/pages/publications/84856820821

U2 - 10.1080/03605302.2011.594475

DO - 10.1080/03605302.2011.594475

M3 - Article

AN - SCOPUS:84856820821

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SP - 225

EP - 233

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 2

ER -

An Improved Strichartz Estimate for Systems with Divergence Free Data

Abstract

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