On the problem of determining the parameter of a parabolic equation

• Published in: Український математичний журнал
• Date: 2010
• Main Author: Ashyralyev, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166285
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the problem of determining the parameter of a parabolic equation / A. Ashyralyev // Український математичний журнал. — 2010. — Т. 62, № 9. — С. 1200–1210. — Бібліогр.: 26 назв. — англ.

We study the boundary-value problem of determining the parameter p of a parabolic equation v′(t) + Av(t) = f(t)+p(0 ≤ t ≤ 1), v(0) = φ, v(1) = ψ, with strongly positive operator A in an arbitrary Banach space E. The exact estimates are established for the solution of this problem in Hölder norms...