The $\Box_b$-heat equation on finite type CR manifolds with comparable Levi form

• Date: 2019
• Main Authors: Ly, Kim Ha, Лі, Кім Ха
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1500
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...