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On Space-Time Quasiconcave Solutions of the Heat Equation, Paperback / softback Book

On Space-Time Quasiconcave Solutions of the Heat Equation Paperback / softback

Part of the Memoirs of the American Mathematical Society series

Paperback / softback

Available to Order - This title is available to order, with delivery expected within 2 weeks

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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.

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