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December 2016 The Uniqueness Theorem for the Heat Equation on the Heisenberg Group
Yasuyuki OKA
Tokyo J. Math. 39(2): 361-371 (December 2016). DOI: 10.3836/tjm/1484903128

Abstract

The aim of this paper is to establish the uniqueness theorem for the Cauchy problem for the heat equation with the Tikhonov condition on the Heisenberg group. To do this, we give Green's formula and show the existence of a Lipschitz cut-off function on the Heisenberg group in accordance with the idea in [7].

Citation

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Yasuyuki OKA. "The Uniqueness Theorem for the Heat Equation on the Heisenberg Group." Tokyo J. Math. 39 (2) 361 - 371, December 2016. https://doi.org/10.3836/tjm/1484903128

Information

Published: December 2016
First available in Project Euclid: 20 January 2017

zbMATH: 1372.35321
MathSciNet: MR3599498
Digital Object Identifier: 10.3836/tjm/1484903128

Subjects:
Primary: 46F05
Secondary: 46F15 , 81S30

Rights: Copyright © 2016 Publication Committee for the Tokyo Journal of Mathematics

Vol.39 • No. 2 • December 2016
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