Pullback attractors for a class of semilinear nonclassical diffusion equations with delay
Texas State University, Department of Mathematics
In this article, we analyze the existence of solutions for a nonclassical reaction-diffusion equation with critical nonlinearity, a time-dependent force with exponential growth and delayed force term, where the delay term can be entrained by a function under assumptions of measurability. Using a priori estimates we obtain the pullback D-absorbing process and the pullback ω-D-limit compactness that allow us to prove the existence of the pullback D-attractors for the associated process to the problem.
Pullback attractors, Nonclassical reaction-diffusion equations, Critical exponent, Delay term
Harraga, H., & Yebdri, M. (2016). Pullback attractors for a class of semilinear nonclassical diffusion equations with delay. <i>Electronic Journal of Differential Equations, 2016</i>(07), pp. 1-33.