\(L^\infty \) estimates and integrability by compensation in Besov-Morrey spaces and applications (Q2903476)

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scientific article; zbMATH DE number 6064735
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\(L^\infty \) estimates and integrability by compensation in Besov-Morrey spaces and applications
scientific article; zbMATH DE number 6064735

    Statements

    10 August 2012
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    integrability by compensation
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    \(L^\infty\) estimates
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    Schrödinger systems
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    \(L^\infty \) estimates and integrability by compensation in Besov-Morrey spaces and applications (English)
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    This paper is concerned with \(L^\infty\) estimates in the integrability by compensation in Besov-Morrey spaces. As an application, the authors prove the existence of conservation laws for solutions of elliptic systems in the form \(-\Delta u=\Omega \cdot \nabla u\), where \(\Omega\) is antisymmetric and both \(\nabla u\) and \(\Omega\) belong to some Besov-Morrey spaces for which the system is critical.
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