The authors study the class of nonlinear reaction-diffusion equations:
They prove the existence of a global attractor in for the semigroup associated to this problem; is compact, invariant and attracts every bounded subsets of .
The proof relies on results of Q.-F. Ma, S.-H. Wang and C.-K. Zhong [Indiana Univ. Math. J. 51, No.,6, 1542–1558 (2002; Zbl 1028.37047)].