On global regularity and solvability of linear pseudo-differential equations (Q1174428)
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scientific article; zbMATH DE number 8710
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On global regularity and solvability of linear pseudo-differential equations |
scientific article; zbMATH DE number 8710 |
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On global regularity and solvability of linear pseudo-differential equations (English)
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25 June 1992
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The author deals with a linear spatially inhomogeneous pseudo- differential operator \(L(x,D)\) of Beals and Fefferman type and proves sufficient regularity results for the maximal closed realization of \(L(x,D)\) in certain subspace of tempered distributions. Then global solvability of the equation \((L^*+aI)u=f\) is established, where \(L^*\) is the minimal closed realization of \(L\).
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pseudo-differential operator
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regularity
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global solvability
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0.9092983
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