Regularity for Hamiltonian stationary equations in $\mathbb{R}_{n\leq 4}^{n}$

In this paper, we study the regularity of solutions to the Hamiltonian stationary equation in complex Euclidean space. We show that in dimensions $n \leq 4$ , for all values of the Lagrangian phase, any $C^{1, 1}$ solution is smooth and derive a $C^{k, α}$ estimate for it, where $k \geq 2$ .

Regularity for Hamiltonian stationary equations in $R_{n \leq 4}^{n}$

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Regularity for Hamiltonian stationary equations in $R_{n \leq 4}^{n}$

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Regularity for Hamiltonian stationary equations in Rn≤4nRn≤4n​

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Regularity for Hamiltonian stationary equations in Rn≤4nRn≤4n​

文献摘要

讨论

|讲解博客

|AI智能校验

Regularity for Hamiltonian stationary equations in $R_{n \leq 4}^{n}$

讲解博客

AI智能校验

Regularity for Hamiltonian stationary equations in $R_{n \leq 4}^{n}$

讲解博客

AI智能校验