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arXiv · 1805.06967

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.

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Michael Ruzhansky, Durvudkhan Suragan. 2018-05-17. A comparison principle for nonlinear heat Rockland operators on graded groups. https://doi.org/10.1112/blms.12178

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