Dirac equation on hyperbolic space
A talk in the Oberseminar Analysis series by
Hongwei Zhang from Paderborn
| Abstract: | We will talk about the Dirac equation on the real hyperbolic space, where the Dirac operator is known to act on the smooth sections of the homogeneous vector bundles over the hyperbolic space. We will explain how to use the harmonic analysis tool to obtain the pointwise kernel estimate and the dispersive property for the Dirac propagator. Unlike the Euclidean counterparts, the dispersion differs from the short and long time, and is no longer equivalent to that of the wave propagator. An improved Strichartz inequality follows from this different dispersive property. Zoom Meeting ID: 686 0112 3008 Passcode: 867330 $\href{https://uni-bielefeld.zoom-x.de/j/68601123008?pwd=3B0C4nRNJveeJ71WQ1caCai3MbXTwA.1}{\textbf{Join Zoom Meeting}}$ Within the CRC this talk is associated to the project(s): A1 |