An enclosure method of eigenvalues for the elliptic operator linearized at an exact solution of nonlinear problems (Q5929746)
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scientific article; zbMATH DE number 1586459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An enclosure method of eigenvalues for the elliptic operator linearized at an exact solution of nonlinear problems |
scientific article; zbMATH DE number 1586459 |
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An enclosure method of eigenvalues for the elliptic operator linearized at an exact solution of nonlinear problems (English)
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3 July 2001
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Eigenvalue enclosing of the elliptic operator which is linearized at an exact solution of certain nonlinear elliptic equations is considered. This problem is relevant in the analysis of the stability or bifurcation of some solutions for nonlinear problems. The indices of eigenvalues, especially the first eigenvalue are also investigated. In the enclosing procedures, the finite-dimensional verified computations for linear and nonlinear systems play an essential role. A numerical example is presented.
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eigenvalue enclosing
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linearized eigenvalue problem
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nonlinear elliptic PDE
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stability
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bifurcation
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numerical example
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