Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations

Abstract

We consider nonautonomous reaction-diffusion equations with variable exponents and large diffusion and we prove continuity of the flow and weak upper semicontinuity of a family of pullback attractors when the exponents go to $2$ in $L^\infty(\Omega)$.

Keywords

• ode limit problems
• nonautonomous reaction-diffusion equations
• parabolic problems
• variable exponents
• pullback attractors
• upper semicontinuity