A generalization of Schauder's theorem and its application to Cauchy-Kovalevskaya problem.
A Holmgren type theorem for partial differential equations whose coefficients are Gevrey functions.
A sufficient condition for existence of real analytic solutions of P.D.E. with constant coefficients, in open sets of
Abstract version of the Cauchy-Kowalewski problem
We consider an abstract version of the Cauchy-Kowalewski Problem with the right hand side being free from the Lipschitz type conditions and prove the existence theorem.
An abstract non-linear Cauchy-Kowalewski theorem and its proof by a contraction-mapping principle
Analytic solution of an initial-value problem from Stokes flow with free boundary.