Determining nodes for semilinear parabolic equations |
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Authors: | Ryôhei Kakizawa |
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Institution: | Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan |
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Abstract: | We are concerned with the determination of the asymptotic behavior of strong solutions to the initial-boundary value problem for general semilinear parabolic equations by the asymptotic behavior of these strong solutions on a finite set. More precisely, if the asymptotic behavior of the strong solution is known on a suitable finite set which is called determining nodes, then the asymptotic behavior of the strong solution itself is entirely determined. We prove the above property by the energy method. |
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Keywords: | Semilinear parabolic equations Determining nodes Asymptotic behavior |
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