The $\Box_b$-heat equation on finite type CR manifolds with comparable Levi form
UDC 517.9 The main purpose of this paper is to study the initial-value problems for the heat equations associated with the operator $\Box_b$ on compact CR manifolds of finite type. The critical component of our analysis is the condition called $D^{\epsilon}(q)$ and introduced by K. D. Koenig [A...
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| Date: | 2019 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2019
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1500 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.9
The main purpose of this paper is to study the initial-value problems for the heat
equations associated with the operator $\Box_b$ on compact CR manifolds of finite type.
The critical component of our analysis is the condition called $D^{\epsilon}(q)$ and
introduced by K. D. Koenig [Amer. J. Math. -- 2002. -- {\bf 124}. -- P. 129--197].
Actually, it states that the $\min\{q, n-1-q\}$th smallest eigenvalue of the Levi
form is comparable with the largest eigenvalue of the Levi form. |
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