The CauchyKowalevski theorem is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems and a special case was proven by Augustin Cauchy.
In mathematics, the CauchyKovalevskaya theorem (also written as the CauchyKowalevski theorem) is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems. A special case was proven by Augustin Cauchy (), and the full result by Sophie Kovalevskaya (). 
