Asymptotic behavior of solutions of parabolic equations of higher order (Q2523627)
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| Language | Label | Description | Also known as |
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| English | Asymptotic behavior of solutions of parabolic equations of higher order |
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Asymptotic behavior of solutions of parabolic equations of higher order (English)
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1966
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By use of a priori integral estimates like those used in the author and \textit{T. Kuroda} [Nagoya Math. J. 26, 115--120 (1966; Zbl 0143.33302)], it is proved that if a solution of a certain parabolic differential inequality satisfies Dirichlet conditions on the boundary of its domain, and if it decays in time with greater than exponential rapidity, then in fact it vanishes identically for sufficiently large time.
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asymptotic behavior
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parabolic equations of higher order
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variable coefficients
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a priori integral estimates
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