Fujita exponent and nonexistence result for the Rockland heat equation

Appl. Math. Lett. 121 (2021), Paper No. 107386

This article presents nonexistence results for semilinear parabolic equation with hypoelliptic operator. In particular, we show Fujita exponent for the Rockland heat equation on graded Lie group, which depends on the homogeneous dimension of group and the order of the Rockland operator.