Determining nodes for semilinear parabolic equations

Details Determining nodes for semilinear parabolic equations Determining nodes for semilinear parabolic equations

2009-10-04

arxiv.org/abs/0910.0595v3

Mathematics

Analysis of PDEs

16 pages

Scientific paper

We are concerned with the uniqueness of the asymptotic behavior of strong solutions of the initial-boundary value problem for general semilinear parabolic equations by the asymptotic behavior of these strong solutions on a finite set of an entire domain. More precisely, if the asymptotic behavior of a strong solution is known on an appropriate finite set, then the asymptotic behavior of a strong solution itself is entirely determined in a domain. We prove the above property by the energy method.

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