Determining nodes for semilinear parabolic equations
| Autor: | Ryôhei Kakizawa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
Applied Mathematics
Mathematical analysis Determining nodes Numerical Analysis (math.NA) Asymptotic behavior Parabolic partial differential equation 35K90 65N35 Strong solutions Mathematics - Analysis of PDEs Energy method FOS: Mathematics Initial value problem Boundary value problem Mathematics - Numerical Analysis Semilinear parabolic equations Finite set Analysis Mathematics Analysis of PDEs (math.AP) |
| Popis: | 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. 16 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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