Existence of a leading eigenvalue for a linearized problem in reactor dynamics (Q1093093)
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scientific article; zbMATH DE number 4021766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of a leading eigenvalue for a linearized problem in reactor dynamics |
scientific article; zbMATH DE number 4021766 |
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Existence of a leading eigenvalue for a linearized problem in reactor dynamics (English)
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1987
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The author investigates a linear matrix-valued elliptic differential operator L which is obtained by a linearization of a system of equations of reactor dynamics. The author proves that L generates a continuous one- parameter group of operators. The point spectrum of L is also investigated. The author proves the existence of a leading eigenvalue \(\lambda_ 1\) \((| \lambda_ 1|\) is minimal) with a multiplicity one and with a non-negative eigenfunction.
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linearization
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reactor dynamics
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one-parameter group
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point spectrum
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leading eigenvalue
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multiplicity one
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non-negative eigenfunction
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