Stabilizing influence of a skew-symmetric operator in semilinear parabolic equation (Q1962583)
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scientific article; zbMATH DE number 1395893
| Language | Label | Description | Also known as |
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| English | Stabilizing influence of a skew-symmetric operator in semilinear parabolic equation |
scientific article; zbMATH DE number 1395893 |
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Stabilizing influence of a skew-symmetric operator in semilinear parabolic equation (English)
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31 January 2000
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Summary: Sufficient conditions for asymptotic stability of the zero solution of a nonlinear parabolic differential equation in a Hilbert space are formulated by means of spectral properties of a certain linear operator \(L\). The operator \(L\) need not be dissipative and its spectrum may have a continuous part touching the imaginary axis. Stability is a consequence of an appropriate influence of a skew-symmetric part of the operator \(L\).
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asymptotic stability
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nonlinear parabolic differential equation
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skew-symmetric part
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