Regular Degenerate Separable Differential Operators and Applications

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Date

2011

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Publisher

Springer

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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.

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Keywords

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

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Citation

14

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Q2

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Q2

Source

Volume

35

Issue

3

Start Page

201

End Page

222