Some Mixed Order Boundary Value Problems. I. A Priori Estimates

L. R. Volevich, R.Denk


Abstract: In this paper we study mixed-order boundary value problems which depend on a real parameter but which are not elliptic with parameter in the sense of Agmon-Agranovich-Vishik. Using the method of the Newton polygon, we are able to prove a priori estimates for the solutions of such problems in the corresponding Sobolev spaces.