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Coercive boundary value problems of degenerate differential-operator equations in a half-space. (Russian. English summary) Zbl 0695.35212

Summary: The authors prove the coercive stability of homogeneous boundary-value problems for a single class of regularly degenerating differential operator equations in the halfspace with non-selfadjoint operational coefficients.
Furthermore a theorem is proved concerning the isomorphism for a nonhomogeneous boundary value problem for that equation. In the course of the proof theorems on the trace in abstract spaces, Fourier theory of multiplicators and interpolation theory are used.

MSC:

35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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