Determination of the coefficient of a semilinear parabolic equation for a boundary-value problem with nonlinear boundary condition

• Published in: Український математичний журнал
• Date: 2014
• Main Authors: Akhundov, A.Ya., Gasanova, A.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166077
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Determination of the coefficient of a semilinear parabolic equation for a boundary-value problem with nonlinear boundary condition / A.Ya. Akhundov, A.I. Gasanova // Український математичний журнал. — 2014. — Т. 66, № 6. — С. 847–852. — Бібліогр.: 5 назв. — англ.

We study the well-posedness of the inverse problem of determination of the coefficient of a minor term of a semilinear parabolic equation in the presence of a nonlinear boundary condition. The additional condition is given in the nonlocal integral form. A uniqueness theorem and a “conditional” stabi...