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Divergence-Measure Fields on Domains with Lipschitz Boundary

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Hyperbolic Conservation Laws and Related Analysis with Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 49))

Abstract

In this work we are particularly interested in analyzing some consequences of the additional assumption that the domain has a Lipschitz boundary, in the investigation of the properties of the divergence-measure fields, especially those which are vector-valued (Radon) measures whose divergence is a signed (Radon) measure.

1991 Mathematics Subject Classification Primary: 26B20,28C05, 35L65, 35B35; Secondary: 26B35, 26B12, 35L67

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Acknowledgements

The author gratefully acknowledges the support from CNPq, through grant proc. 303950/2009-9, and FAPERJ, through grant E-26/103.019/2011.

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Authors and Affiliations

  1. Instituto de Matemática Pura e Aplicada – IMPA, Estrada Dona Castorina, 110, Rio de Janeiro, RJ, 22460-320, Brazil

    Hermano Frid

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  1. Hermano Frid
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Correspondence to Hermano Frid .

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Editors and Affiliations

  1. University of Oxford Mathematical Institute, Oxford, United Kingdom

    Gui-Qiang G. Chen

  2. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

    Helge Holden

  3. University of Oslo Centre of Mathematics for Applications, Oslo, Norway

    Kenneth H. Karlsen

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Frid, H. (2014). Divergence-Measure Fields on Domains with Lipschitz Boundary. In: Chen, GQ., Holden, H., Karlsen, K. (eds) Hyperbolic Conservation Laws and Related Analysis with Applications. Springer Proceedings in Mathematics & Statistics, vol 49. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39007-4_10

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