论文标题

$ \ mathbb {r}^n $在连续的laplacian和无界Hessian中两次可区分功能的示例

Examples of Twice Differentiable Functions in $\mathbb{R}^n$ with Continuous Laplacian and Unbounded Hessian

论文作者

Pan, Yifei, Yan, Yu

论文摘要

我们在$ \ mathbb {r}^n $中构建了两次可区分函数的示例,并使用连续的laplacian和无界的Hessian构建。相同的结构也适用于高阶可不同性。

We construct examples of twice differentiable functions in $\mathbb{R}^n$ with continuous Laplacian and unbounded Hessian. The same construction is also applicable to higher order differentiability.

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