We consider an Ostrovsky-Hunter type equation, which also includes the short pulse equation, or the Kozlov-Sazonov 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.

中文翻译：

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关于Ostrovsky-Hunter型方程的非齐次初始边界问题的注释

我们考虑一个Ostrovsky-Hunter型方程，该方程还包括短脉冲方程或Kozlov-Sazonov方程。我们证明了非均匀初始边值问题的熵解的适定性。该证明依赖于推导合适的先验估计以及补偿紧凑性方法的应用。