2 papers
math.AP2004
On some abstract version of the Cauchy-Kowalewski Problem
Oleg Zubelevich
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.
math-ph2003
On analytic solutions to NSE in 3-D torus
Oleg Zubelevich
We consider NSE with -initial conditions on the 3-dimensional torus and prove that there exists a solution that is analytic in all variables.