The initial-boundary-value problem for an Ostrovsky–Hunter type equation

  • Giuseppe Maria Coclite

    Politecnico di Bari, Italy
  • Lorenzo di Ruvo

    Politecnico di Bari, Italy
  • Kenneth Hvistendahl Karlsen

    University of Oslo, Norway
The initial-boundary-value problem for an Ostrovsky–Hunter type equation cover

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Abstract

We consider an Ostrovsky–Hunter type equation. We prove the well-posedness of the entropy solution for the non-homogeneous initial boundary value problem. The proof relies on deriving suitable a priori estimates together with an application of the compensated compactness method.