Stability in fully nonlinear parabolic equations (Q1894118)
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scientific article; zbMATH DE number 775513
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability in fully nonlinear parabolic equations |
scientific article; zbMATH DE number 775513 |
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Stability in fully nonlinear parabolic equations (English)
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18 July 1995
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The stability of the zero solution of a class of nonlinear evolution equations in a Banach space is studied. After stating a local existence result and the principle of linearized stability, the author studies the critical case, giving sufficient conditions for stability. The results are applied to second-order fully nonlinear parabolic equations in \([0,+\infty[\times \mathbb{R}^n\).
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abstract parabolic equation
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principle of linearized stability
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