On the Nonlinear Cauchy Problem

Abstract

The presentations of the author form an interesting survey article about the state of art concerning well-posedness and propagation of analytic regularity of solutions to the quasilinear Cauchy problem $$P(t,x,D^{m'}u,D_t,D_x)u= f(t,x,D^{m'}u),\quad D^j_tu|_{t=0}=g_j,\quad 0\le j