Dynamic First Order Wave Systems with Drift Term on Riemannian Manifolds

2020/09/30 by Rainer Picard, Picard, Rainer, Sascha Trostorff +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #math.AP #math.FA

paper · pdf · doi:10.48550/arxiv.2009.14692

arxiv created 2020/09/30 · arxiv updated 2020/10/01

Abstract

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.

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