An abstract first order differential equation of hyperbolic type with drift term on a Riemannian manifold is considered. For proving its well-posedness, transmutator and commutator relations are needed, which are studied in a general functional analytic setting.

中文翻译：

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黎曼流形上具有漂移项的动态一阶波系统

考虑了黎曼流形上具有漂移项的双曲型抽象一阶微分方程。为了证明其适定性，需要变换子和交换子关系，这在一般泛函分析环境中进行研究。