Weighted Sobolev inequalities and unique continuation for the Laplacian plus lower order terms (Q581741)
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scientific article; zbMATH DE number 4129271
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted Sobolev inequalities and unique continuation for the Laplacian plus lower order terms |
scientific article; zbMATH DE number 4129271 |
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Weighted Sobolev inequalities and unique continuation for the Laplacian plus lower order terms (English)
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1988
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\textit{L. Hörmander} [Commun. Partial Differ. Equations 8, 21-64 (1983; Zbl 0546.35023)] proved a unique continuation result for some elliptic equations with Lipschitz coefficients. The present paper extends this result to the Laplace operator. For this purpose Sobolev inequalities in \(L^ p\)-spaces with the weights \(e^{\tau \phi (x)}\) of two types are considered.
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unique continuation principle
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weighted Sobolev inequalities
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Carleman estimate
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