This is an arXiv category tag for the analysis of partial differential equations.

Lecture notes introducing Sobolev spaces.

We describe a theorem due to Mihai Mariş concerning the symmetries of ground states.

Let us consider first the linear wave equation \[ \Box u = 0\] on (1+d)-dimensional Minkowski space. A well known property of the wave …

Paper announcement and exposition.

My PhD Thesis on characterization and conditional uniqueness of the Kerr-Newman solution in general relativity.