Maximal Regular Abstract Elliptic Equations and Applications |
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Authors: | V B Shakhmurov |
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Institution: | 1.Okan University,Istanbul,Turkey |
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Abstract: | The oblique derivative problem is addressed for an elliptic operator differential equation with variable coefficients in a
smooth domain. Several conditions are obtained, guaranteing the maximal regularity, the Fredholm property, and the positivity
of this problem in vector-valued L
p-spaces. The principal part of the corresponding differential operator is nonselfadjoint. We show the discreteness of the
spectrum and completeness of the root elements of this differential operator. These results are applied to anisotropic elliptic
equations. |
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Keywords: | |
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