Interior Schauder estimates for the fourth order Hamiltonian stationary equation in two dimensions
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🧮 math.AP
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equationhamiltonianstationaryalphaconsiderderivedimensiondimensions
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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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