GLOBAL ATTRACTORS FOR A CLASS OF SEMILINEAR PARABOLIC EQUATIONS INVOLVING GRUSHIN OPERATOR AND NOLINEARITIES OF ARBITRARY ORDER
DOI: 10.18173/2354-1059.2021-0026
Keywords:
degenerate parabolic equation, Grushin operator, exponential nonlinearity, weak solution, global attractor.
Abstract
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.
điểm /
đánh giá
Published
2022-02-21
Section
ARTICLES