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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.

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Authors and Affiliations

  1. Department of Electronics and Communication, Okan University, Akfirat, Tuzla, 34959, Istanbul, Turkey

    Veli B. Shakhmurov

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  1. Veli B. Shakhmurov
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Correspondence to Veli B. Shakhmurov.

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Shakhmurov, V.B. Regular Degenerate Separable Differential Operators and Applications. Potential Anal 35, 201–222 (2011). https://doi.org/10.1007/s11118-010-9206-9

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