Uniform attractors for reaction-diffusion equations with a larger class of external forces

The existence and structure of L-p uniform attractors for reaction-diffusion equations with a larger class of external forces are considered. First, we introduce a new class of external forces g, which is larger than the class of normal functions. Then, by investigating the property of the hull H(g) and with some prior estimates, we obtain the existence and structure of the uniform (L-2-L-p) attractors.

Automated summary

The existence and structure of L-p uniform attractors for reaction-diffusion equations with a larger class of external forces are considered. A new class of external forces g, larger than the class of normal functions, is introduced. The existence and structure of the uniform (L-2-L-p) attractors are obtained by investigating the property of the hull H(g) and using prior estimates.