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Transport Equation and Cauchy Problem for Non-Smooth Vector Fields

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Calculus of Variations and Nonlinear Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1927))

In these lectures we study the well-posedness of the Cauchy problem for the homogeneous conservative continuity equation

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Authors
  1. Luigi Ambrosio
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Editors and Affiliations

  1. Section de Mathématiques, Ecole Polytechnique Fédérale de Lausanne (EPFL), Station 8, 1015, Lausanne, Switzerland

    Bernard Dacorogna

  2. Dipartimento di Matematica, Università di Firenze, Viale Morgagni 67/A, 50134, Firenze, Italy

    Paolo Marcellini

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Ambrosio, L. (2008). Transport Equation and Cauchy Problem for Non-Smooth Vector Fields. In: Dacorogna, B., Marcellini, P. (eds) Calculus of Variations and Nonlinear Partial Differential Equations. Lecture Notes in Mathematics, vol 1927. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75914-0_1

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