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On a differential inclusion related to the Born--Infeld equations

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posted on 2023-06-08, 17:55 authored by Stefan Müller, Mariapia Palombaro
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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  • Published

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  • Published version

Journal

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

Publisher

Society for Industrial and Applied Mathematics

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Issue

4

Volume

46

Page range

2385-2403

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  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2014-08-05

First Open Access (FOA) Date

2014-08-05

First Compliant Deposit (FCD) Date

2014-08-05

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