Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems. I. Heisenberg group
Analysis of PDEs
2021-10-05 v1
Abstract
In this paper, we show the nonexistence results for the Kirchhoff elliptic, parabolic, and hyperbolic type equations on the Heisenberg groups. Also, the pseudo-parabolic and pseudo-hyperbolic equations of the Kirchhoff-type are under consideration. To prove these results we use the test function method. In addition, the analogous results are transferred to the cases of systems. Also, we give some examples of non-local nonlinearities.
Keywords
Cite
@article{arxiv.2110.01082,
title = {Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems. I. Heisenberg group},
author = {Aidyn Kassymov and Michael Ruzhansky and Niyaz Tokmagambetov and Berikbol T. Torebek},
journal= {arXiv preprint arXiv:2110.01082},
year = {2021}
}
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37 pages