On an Estimate Connected with the Stabilization of a Normal Parabolic Equation by Start Control
- Authors: Fursikov A.V.1, Shatina L.S.1
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Affiliations:
- Moscow State University
- Issue: Vol 217, No 6 (2016)
- Pages: 803-826
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238151
- DOI: https://doi.org/10.1007/s10958-016-3005-9
- ID: 238151
Cite item
Abstract
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.
About the authors
A. V. Fursikov
Moscow State University
Author for correspondence.
Email: fursikov@gmail.com
Russian Federation, Moscow
L. S. Shatina
Moscow State University
Email: fursikov@gmail.com
Russian Federation, Moscow