3 Oct 2002

Ole Kristian Fossum "On classification of a system of non-linear first-order PDEs of Jacobi type".

The talk will concern a non-linear system of the first-order. The only non-linearity entering the PDEs is of the Jacobian type, all the other terms being quasilinear. I will present two alternative descriptions of the system. The investigation will include the pointwise classification, description of invariants and normal forms. I will give a criteria when the system can be transformed into a system with constant coefficients.