Synopsis

Fredholm alternative and Green's functions for non-self-adjoint problems; application of delta functions. Review of classification of second-order linear equations [3 lectures, 1 class]

Further development of hyperbolic equations: Cauchy-Kovalevskaya theorem, Riemann invariants, shocks and weak solutions, causality. [3 lectures, 1 class]

More details of the course are available from Dr Porter's website.