Spectral properties of some two-dimensional boundary value problems (Q1851494)
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scientific article; zbMATH DE number 1851276
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral properties of some two-dimensional boundary value problems |
scientific article; zbMATH DE number 1851276 |
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Spectral properties of some two-dimensional boundary value problems (English)
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8 January 2003
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The author studies spectral properties of two-dimensional boundary value problems with a spectral parameter in the boundary conditions satisfying to the Douglis-Nirenberg ellipticity conditions. For such problems a complete power spectral asymptotics is obtained and a theorem on analytical continuation of the zeta function into the whole complex plane is proved. The classical formula of regularized traces of arbitrary order is established.
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two-dimensional problem
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spectral parameter
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spectral asymptotics
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zeta function continuation
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0.820530116558075
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0.8184782862663269
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