Metric properties of eigenfunctions of the Laplace operator on manifolds (Q804054)
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scientific article; zbMATH DE number 4199109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Metric properties of eigenfunctions of the Laplace operator on manifolds |
scientific article; zbMATH DE number 4199109 |
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Metric properties of eigenfunctions of the Laplace operator on manifolds (English)
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1991
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On a two-dimensional compact real analytic Riemannian manifold we estimate the volume of the set on which the eigenfunction of the Laplace- Beltrami operator is positive. On an n-dimensional compact smooth Riemannian manifold, we estimate the relation between supremum and infimum of an eigenfunction of the Laplace operator.
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nodal set
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eigenfunction
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Laplace-Beltrami operator
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