Partial differential equations

Characteristics

Holmgren theorem, harmonic analysis and applications to linear PDE

Spaces of distributions, Sobolev spaces

Wave, heat, Laplace and Schrodinger equations

Energy integrals, maximum principles

1.  J. Rauch. Partial Differential Equations, Springer 1992.

2. L.C. Evans, Partial Differential Equations, II ed, AMS 2012