论文标题
分级谎言组上高级非线性低纤维化热算子的比较原理
A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups
论文作者
论文摘要
在本文中，我们提出了一个比较原则的比较原理，用于分级谎言组上的非线性低纤维化热算子。此外，使用比较原则，我们获得了爆炸类型的结果和全球在$ t $结合的非线性方程解决方案的$ p $ p $ -sub-sub-laplacian in Stratized Lie组中。特别是，本文概括并扩展了第一作者和[RS18]中的Suragan获得的先前结果。
In this paper we present a comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Moreover, using the comparison principle we obtain blow-up type results and global in $t$-boundedness of solutions of nonlinear equations for the heat $p$-sub-Laplacian on stratified Lie groups. In particular, this paper generalises and extends previous results obtained by the first author and Suragan in [RS18].
