Long-time extinction of solutions of some semilinear parabolic equations (Q2373814)
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| English | Long-time extinction of solutions of some semilinear parabolic equations |
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Long-time extinction of solutions of some semilinear parabolic equations (English)
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16 July 2007
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The authors study the long-time behavior of solutions of semilinear parabolic equation. They give a Dini-like condition by two different methods which implies that any solution of the equation vanishes in a finite time. The first one is a variant of a local energy method and the second one is derived from semi-classical limits of some Schrödinger operators.
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energy method
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vanishing solutions
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semi-classical analysis
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Dini-like condition
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