A convergence result on the second boundary value problem for parabolic equations

Rongli Huang and Yunhua Ye

Vol. 310 (2021), No. 1, 159–179

DOI: 10.2140/pjm.2021.310.159

Abstract

We establish a generalization of Schnürer’s convergence result and then apply it to obtain the convergence of solutions to some fully nonlinear parabolic equations with second boundary value and Neumann boundary value conditions.

Keywords

parabolic type special Lagrangian equation, special Lagrangian diffeomorphism, special Lagrangian graph

Mathematical Subject Classification 2010

Primary: 53C44

Secondary: 53A10

Milestones

Received: 22 December 2018

Revised: 6 July 2020

Accepted: 19 November 2020

Published: 26 January 2021