On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations

• Published in: Український математичний журнал
• Date: 2002
• Main Authors: Tran Thi Loan, Nguyen Manh Hung
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2002
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164623
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations / Tran Thi Loan, Nguyen Manh Hung // Український математичний журнал. — 2002. — Т. 54, № 12. — С. 1714–1719. — Бібліогр.: 7 назв. — англ.

The paper is concerned with the exponential stability of the zero solution of strongly nonautonomous parabolic equations. Conditions are found on time-dependent coefficients of a parabolic equation under which its solutions converge exponentially to 0 as t → ∞. Розглядається експоненціальна стійкіст...