Determining nodes for semilinear parabolic equations

作者：Kakizawa Ryohei^*

来源：Journal of Mathematical Analysis and Applications, 2011, 378(2): 375-386.

DOI：10.1016/j.jmaa.2011.01.064

• Semilinear parabolic equations
• Determining nodes
• Asymptotic behavior

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.

• 出版日期2011-6-15