Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions-Reference-Cited by-同舟云学术

Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions

Published:2019-03-26 Issue:8 Volume:147 Page:3471-3477
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bhattacharya Arunima,Warren Micah

Abstract

We consider the Hamiltonian stationary equation for all phases in dimension two. We show that solutions that are C 1 , 1 C^{1,1} will be smooth and we also derive a C 2 , α C^{2,\alpha } estimate for it.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2019-147-08/S0002-9939-2019-14484-1/S0002-9939-2019-14484-1.pdf

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