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arXiv · 2110.12380

The heat equation with singular potentials. II: Hypoelliptic case

Marianna Chatzakou·Michael Ruzhansky·Niyaz Tokmagambetov
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Abstract

In this paper we consider the heat equation with a strongly singular potential and show that it has a very weak solution. Our analysis is devoted to general hypoelliptic operators and is developed in the setting of graded Lie groups. The current work continues and extends a previous work , where the classical heat equation on $\mathbb R^n$ was considered.

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Marianna Chatzakou, Michael Ruzhansky, Niyaz Tokmagambetov. 2021-10-24. The heat equation with singular potentials. II: Hypoelliptic case. https://arxiv.org/abs/2110.12380

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