Princeton University Library Catalog

The wave equation on the exterior of a Schwarzschild black hole

Author/​Artist:
Radke, Jordan [Browse]
Format:
Senior thesis
Language:
English
Advisor(s):
Shlapentokh-Rothman, Yakov M. [Browse]
Contributor(s):
Rodnianski, Igor [Browse]
Department:
Princeton University. Department of Mathematics [Browse]
Class year:
2017
Summary note:
This thesis investigates a wave equation on the Minkowski and Schwarzschild spacetimes. We rely on the vector field method and the rp-weighted inequalities discovered by Dafermos and Rodnianski to show the decay of energy and solutions in the cases studied.