On Space-Time Quasiconcave Solutions of the Heat Equation (eBook)

Chuanqiang Chen (Autor)

eBook Download: PDF

2019
83 Seiten
American Mathematical Society (Verlag)
978-1-4704-5243-8 (ISBN)

Infos

In this paper the authors first obtain a constant rank theorem for the second fundamental form of the space-time level sets of a space-time quasiconcave solution of the heat equation. Utilizing this constant rank theorem, they obtain some strictly convexity results of the spatial and space-time level sets of the space-time quasiconcave solution of the heat equation in a convex ring. To explain their ideas and for completeness, the authors also review the constant rank theorem technique for the space-time Hessian of space-time convex solution of heat equation and for the second fundamental form of the convex level sets for harmonic function.

Produkt-Details

• Erscheint lt. Verlag: 6.10.2019
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• ISBN-10: 1-4704-5243-X / 147045243X
• ISBN-13: 978-1-4704-5243-8 / 9781470452438