ATTRACTORS AND ENTROPY BOUNDS FOR A NONLINEAR RDES WITH DISTRIBUTED DELAY IN UNBOUNDED DOMAINS

Abstract

A nonlinear reaction-diffusion problem with a general, both spatially and delay distributed reaction term is considered in an unbounded domain $\R^N$. The existence of a unique weak solution is proved.

A locally compact attractor together with entropy bound is also established.

Keywords

• Nonlinear reaction-diffusion equation
• attractor
• unbounded domain
• distributed delay
• Kolmogorov's $\varepsilon$-enthropy