The Neumann Problem for Parabolic Hessian Quotient Equations (2001.01427v2)

Published 6 Jan 2020 in math.AP

Abstract: In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the $k$-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also the solutions of the classical Neumann problem converge to a translating solution.

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