Quasilinear Systems in One Space Dimension

Abstract

We will consider here quasilinear N × N systems of the form

$$ {\partial _t}u + A\left( u \right)\partial xu = 0, $$

(1.1)

or rotationally invariant wave equations of the form

$$ \partial _t^2u - {c^2}\left( {{\partial _t}u} \right)\Delta u = 0 $$

(1.2)