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

• Date: 2002
• Main Authors: Nguyen, Manh Hung, Tran, Thi Loan, Нгуєн, Мань Хунг, Тран, Тхі Лоан
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4212
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 → ∞.