GLOBAL ATTRACTORS FOR A CLASS OF SEMILINEAR PARABOLIC EQUATIONS INVOLVING GRUSHIN OPERATOR AND NOLINEARITIES OF ARBITRARY ORDER

DOI: 10.18173/2354-1059.2021-0026

Tóm tắt

We study the existence and uniqueness of weak solutions and the existence of global attractors to a class of semilinear parabolic equations involving the Grushin operator and nonlinearities of arbitrary order. The main novelty of our result is that no restriction on the upper growth of the nonlinearities is imposed.