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

  • Manh Hung Nguyen
  • Thi Loan Tran

Abstract

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 → ∞.
Published
25.12.2002
How to Cite
NguyenM. H., and TranT. L. “On the Stability of Semilinear Nonautonomous Evolution Equations in Banach Spaces and Its Application to Strongly Parabolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 12, Dec. 2002, pp. 1714-9, https://umj.imath.kiev.ua/index.php/umj/article/view/4212.
Section
Short communications