NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.215, 2022 (Journal Indexed in SCI)
Article / Article
Title of Journal :
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Nonlinear hypoelliptic heat equation, Rockland operator, p-sub-Laplacian, Comparison principle, Graded Lie group, Stratified Lie group, Global solution, Blow-up, SPACES
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. (C) 2021 The Author(s). Published by Elsevier Ltd.