Article

Potential Analysis

, Volume 35, Issue 3, pp 201-222

First online:

Regular Degenerate Separable Differential Operators and Applications

  • Veli B. ShakhmurovAffiliated withDepartment of Electronics and Communication, Okan University Email author 

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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.

Keywords

Degenerate differential-operator equations Semigroups of operators Banach-valued function spaces Separability Fredholmness Operator-valued Fourier multipliers Interpolation of Banach spaces

Mathematics Subject Classifications (2010)

34G10 35J25 35J70