arXiv:0910.0595 Abstract | arXiv Analytics

arXiv:0910.0595 [math.AP]Abstract References Reviews Resources

Determining nodes for semilinear parabolic equations

Published 2009-10-04, updated 2010-06-04Version 3

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.

Comments: 16 pages

Categories: math.AP, math.NA

Subjects: 35K90, 65N35

Keywords: asymptotic behavior, strong solution, determining nodes, general semilinear parabolic equations, initial-boundary value problem

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