Regular Degenerate Separable Differential Operators and Applications
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- Shakhmurov, V.B. Potential Anal (2011) 35: 201. doi:10.1007/s11118-010-9206-9
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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 Lp-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.