Regular Degenerate Separable Differential Operators and Applications
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Date
2011
Authors
Shakhmurov, Veli B.
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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
WoS Q
Q2
Scopus Q
Q2
Source
Volume
35
Issue
3
Start Page
201
End Page
222