Boundary Value Problems for Elliptic Operator Pencils.
Abstract:
In this paper operator pencils A(x,D,λ) are investigated which depend polynomially on the parameter λ and act on a manifold with boundary. The operator A is assumed to satisfy the condition of N-ellipticity with parameter, which is an ellipticity condition, formulated with the use of the Newton polygon. We consider boundary operators B1(x,D), . . . ,Bm(x.D) of general form and define N-ellipticity for the boundary value problem B1(x,D), . . . ,Bm(x.D) analogously to the Shapiro-Lopatinskii condition.
Publication language:russian
Research direction:
Mathematical problems and theory of numerical methods
