Examples of Twice Differentiable Functions in $\mathbb{R}^n$ with Continuous Laplacian and Unbounded Hessian
Analysis of PDEs
2022-08-30 v1 Complex Variables
Abstract
We construct examples of twice differentiable functions in with continuous Laplacian and unbounded Hessian. The same construction is also applicable to higher order differentiability.
Keywords
Cite
@article{arxiv.2208.13123,
title = {Examples of Twice Differentiable Functions in $\mathbb{R}^n$ with Continuous Laplacian and Unbounded Hessian},
author = {Yifei Pan and Yu Yan},
journal= {arXiv preprint arXiv:2208.13123},
year = {2022}
}