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Geometric Wave Equations by Stefan Waldmann
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Geometric Wave Equations
by Stefan Waldmann
Publisher: arXiv 2012
Number of pages: 279
In these lecture notes we discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed including a detailed treatment of the Cauchy problem on a globally hyperbolic manifold both for the smooth and finite order setting.