A comparison principle for nonlinear heat Rockland operators on graded groups

Michael Ruzhansky, Durvudkhan Suragan

Research output: Contribution to journal › Article

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.

LanguageEnglish
JournalBulletin of the London Mathematical Society
DOIs
Publication statusAccepted/In press - Jan 1 2018

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Comparison Principle
Heat
Sub-Laplacian
Boundedness of Solutions
Operator
Nonlinear Equations
Class

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A comparison principle for nonlinear heat Rockland operators on graded groups. / Ruzhansky, Michael; Suragan, Durvudkhan.

In: Bulletin of the London Mathematical Society, 01.01.2018.

Research output: Contribution to journal › Article

Ruzhansky, M & Suragan, D 2018, 'A comparison principle for nonlinear heat Rockland operators on graded groups', Bulletin of the London Mathematical Society. https://doi.org/10.1112/blms.12178
Ruzhansky M, Suragan D. A comparison principle for nonlinear heat Rockland operators on graded groups. Bulletin of the London Mathematical Society. 2018 Jan 1. https://doi.org/10.1112/blms.12178
Ruzhansky, Michael ; Suragan, Durvudkhan. / A comparison principle for nonlinear heat Rockland operators on graded groups. In: Bulletin of the London Mathematical Society. 2018.
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