JournalslemVol. 55, No. 3/4pp. 359–371

On the Cauchy-Kowalevski Theorem

  • Marc Chaperon

    Université Paris 7, Paris, France
On the Cauchy-Kowalevski Theorem cover


After a short review of the basic properties of analytic functions, we apply the infinite-dimensional theory to get a simple proof of the Cauchy-Kowalevski theorem, in an infinite-dimensional version which seems to be new.

Cite this article

Marc Chaperon, On the Cauchy-Kowalevski Theorem. Enseign. Math. 55 (2009), no. 3, pp. 359–371

DOI 10.4171/LEM/55-3-7