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arXiv · 1805.09556

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

Arunima Bhattacharya·Micah Warren
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Abstract

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

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Arunima Bhattacharya, Micah Warren. 2018-05-24. Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions. https://doi.org/10.1090/proc%2F14484

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