On a Differential Inclusion Related to the Born--Infeld Equations

On a Differential Inclusion Related to the Born--Infeld Equations

We study a partial differential relation that arises in the context of the Born--Infeld equations (an extension of Maxwell's equations) by using Gromov's method of convex integration in the setting of divergence-free fields.

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Veröffentlicht in:SIAM journal on mathematical analysis 2014-01, Vol.46 (4), p.2385-2403
Hauptverfasser: Müller, Stefan, Palombaro, Mariapia
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Inclusions
Mathematical analysis
Maxwell's equations
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Beschreibung
Zusammenfassung:We study a partial differential relation that arises in the context of the Born--Infeld equations (an extension of Maxwell's equations) by using Gromov's method of convex integration in the setting of divergence-free fields.
ISSN:0036-1410
1095-7154
DOI:10.1137/120867093