On Space-Time Quasiconcave Solutions of the Heat Equation Paperback / softback
Part of the Memoirs of the American Mathematical Society series
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.
- Format: Paperback / softback
- Pages: 83 pages
- Publisher: American Mathematical Society
- Publication Date: 30/06/2019
- Category: Differential calculus & equations
- ISBN: 9781470435240