Resumen de On pseudosymmetric systems with one space variable

Tatsuo Nishitani, Sergio Spagnolo

• We investigate the Cauchy problem for a system of the form atu = A(x)axu + f (t, x), where A(x) is a pseudosymmetric matrix with analytic entries = 1,..., N. We prove the well-posedness at each point xo where aij (xo) ~ (xo) = 0 for all i, j. In the case N = 3, it is sufficient to assume such a condition for i = j.