On an Estimate Connected with the Stabilization of a Normal Parabolic Equation by Start Control
- Autores: Fursikov A.1, Shatina L.1
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Afiliações:
- Moscow State University
- Edição: Volume 217, Nº 6 (2016)
- Páginas: 803-826
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238151
- DOI: https://doi.org/10.1007/s10958-016-3005-9
- ID: 238151
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Resumo
After a brief revision of facts concerning semilinear parabolic equations of normal type and their nonlocal stabilization by start control, we provide a simplification of the proof of the lower bound for a functional of the solution to the heat equation with initial condition of a special type. This bound is essential to prove the nonlocal stabilization of equations of normal type. The simplification presented is required for further development of the nonlocal stabilization theory.
Sobre autores
A. Fursikov
Moscow State University
Autor responsável pela correspondência
Email: fursikov@gmail.com
Rússia, Moscow
L. Shatina
Moscow State University
Email: fursikov@gmail.com
Rússia, Moscow