Semilinear wave equations and the Yamabe problem on Lorentzian manifolds

19.05.2016, 16:15 Uhr  –  Campus Golm, Haus 9, Raum 0.14
Forschungsseminar Differentialgeometrie

Viktoria Rothe

In this talk we will consider the Cauchy problem for semilinear wave equations on globally hyperbolic Lorentzian manifolds. We will examine under which conditions we obtain time-global solutions for small initial data and time-local solutions for arbitrary initial data. Subsequently we will analyze if these existence results can be applied to the Yamabe Problem on Lorentzian manifolds.