Attractors for a nonautonomous reaction-diffusion equation with delay

Abstract

In this paper, we discuss the existence and uniqueness of solutions for a non-autonomous reaction-diffusion equation with delay, after we prove the existence of a pullback 𝒟-asymptotically compact process. By a priori estimates, we show that it has a pullback 𝒟-absorbing set that allow us to prove the existence of a pullback 𝒟-attractor for the associated process to the problem.

Keywords

• pullback attractors
• nonclassical reaction-diffusion equations
• critical exponent
• delay term
• 35b41
• 35b40
• secondary 37l30
• 35q35