A comparison principle for nonlinear heat Rockland operators on graded groups

Michael Ruzhansky, Durvudkhan Suragan

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

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ASJC Scopus subject areas

  • Mathematics(all)

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