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.

中文翻译：

---

Rockland热方程的Fujita指数和不存在结果

本文介绍了具有次椭圆算子的半线性抛物方程的不存在结果。特别是，我们显示了分级Lie群上Rockland热方程的Fujita指数，这取决于群的齐次维和Rockland算子的阶。