Cauchy-Kovalevskaya theorem
= Cauchy-Kovalevskaya theorem
{c}
{wiki=Cauchy–Kovalevskaya_theorem}
For an order-$k$ scalar <quasilinear partial differential equation> with real-analytic coefficients, real-analytic <Cauchy data> on a real-analytic <non-characteristic hypersurface> determine a unique real-analytic solution in a neighbourhood of each point of that hypersurface.