A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups


Ruzhansky M., Yessirkegenov N.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.215, 2022 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 215
  • Publication Date: 2022
  • Doi Number: 10.1016/j.na.2021.112621
  • Title of Journal : NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
  • Keywords: Nonlinear hypoelliptic heat equation, Rockland operator, p-sub-Laplacian, Comparison principle, Graded Lie group, Stratified Lie group, Global solution, Blow-up, SPACES

Abstract

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.