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arXiv · 1706.00805

Separability properties of singular degenerate abstract differential operators and applications

Veli Shakhmurov
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Abstract

In this paper, we study the separability and spectral properties of singular degenerate elliptic equations in vector valued spaces. We prove that a realization operator by this equation with some boundary conditions is separable and Fredholm in Lebesque spaces. The leading part of the associated differential operator is not self-adjoint. The sharpe estimate of the resolvent, discreetness of spectrum and completeness of root elements of this operator is obtained

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Veli Shakhmurov. 2017-05-22. Separability properties of singular degenerate abstract differential operators and applications. https://arxiv.org/abs/1706.00805

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