Shakhmurov, V. B.; Godzhaev, Eh. M. Coercive boundary value problems of degenerate differential-operator equations in a half-space. (Russian. English summary) Zbl 0695.35212 Dokl., Akad. Nauk Az. SSR 43, No. 3, 6-9 (1987). 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) Keywords:degenerate differential-operator equations; coercive stability; boundary- value problems; halfspace PDFBibTeX XMLCite \textit{V. B. Shakhmurov} and \textit{Eh. M. Godzhaev}, Dokl., Akad. Nauk Az. SSR 43, No. 3, 6--9 (1987; Zbl 0695.35212)