Complex powers of second order non-homogeneous elliptic differential operators with degenerating symbols in the spaces \(L_p(\mathbb{R}^n)\) (Q1598345)
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scientific article; zbMATH DE number 1744137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex powers of second order non-homogeneous elliptic differential operators with degenerating symbols in the spaces \(L_p(\mathbb{R}^n)\) |
scientific article; zbMATH DE number 1744137 |
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Complex powers of second order non-homogeneous elliptic differential operators with degenerating symbols in the spaces \(L_p(\mathbb{R}^n)\) (English)
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22 May 2002
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The authors study complex powers of second-order elliptic differential operators where the principal part has constant real coefficients whereas the first-order terms might have complex coefficients. All considerations are on \(\mathbb{R}^n\). They prove that the negative powers are realized as potential type operators and the positive powers as inverses of approximate operators. The domains of positive powers are determined.
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potential type operators
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fractional powers of differential operators
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second-order elliptic operation
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