Determining nodes for semilinear parabolic equations
Analysis of PDEs
2010-06-07 v3 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.0910.0595,
title = {Determining nodes for semilinear parabolic equations},
author = {Ryôhei Kakizawa},
journal= {arXiv preprint arXiv:0910.0595},
year = {2010}
}
Comments
16 pages