, Volume 35, Issue 3, pp 201-222
Date: 02 Oct 2010

Regular Degenerate Separable Differential Operators and Applications

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Abstract

The boundary value problems for differential-operator equations with variable coefficients, degenerated on all boundary are studied. Several conditions for the separability, fredholmness and resolvent estimates in L p -spaces are given. In applications degenerate Cauchy problem for parabolic equation, boundary value problems for degenerate partial differential equations and systems of degenerate elliptic equations on cylindrical domain are studied.