Grushin operator

The aim of the paper "Global attractor for a semilinear parabolic equation involving grushin operator" is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.

11p runordie3 27-06-2022 6 3   Download

In this paper, we will extend the result of Farina to the general case a0 and look for the effect of the degeneracy on the range of the exponent p on Liouville-type theorem. It seems that the presence of the weight term |x|a makes the problem more challenging. The main difficulty is that the Grushin operator is nonautonomous. This requires suitable scaled test functions in the integral estimate.

11p tamynhan9 02-12-2020 13 1   Download

In this paper we shall prove several weighted Lp Hardy-type inequalities associated to the Baouendi–Grushintype operators. Since then it has attracted the attention of many mathematicians and has been comprehensively analyzed in several directions.

11p nutifooddau 21-01-2019 12 1   Download