A comparison principle for nonlinear heat Rockland operators on graded groups

Michael Ruzhansky; Durvudkhan Suragan

doi:10.1112/blms.12178

A comparison principle for nonlinear heat Rockland operators on graded groups

Michael Ruzhansky, Durvudkhan Suragan

https://nu.edu.kz/

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

In this note we show a comparison principle for nonlinear heat Rockland operators on graded groups. We give a simple proof for it using purely algebraic relations. As an application of the established comparison principle we prove the global in t-boundedness of solutions for a class of nonlinear equations for the heat p-sub-Laplacian on stratified groups.

Original language	English
Journal	Bulletin of the London Mathematical Society
DOIs	https://doi.org/10.1112/blms.12178
Publication status	Accepted/In press - Jan 1 2018

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ASJC Scopus subject areas

Mathematics(all)

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Ruzhansky, M., & Suragan, D. (Accepted/In press). A comparison principle for nonlinear heat Rockland operators on graded groups. Bulletin of the London Mathematical Society. https://doi.org/10.1112/blms.12178

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Access to Document

10.1112/blms.12178