@article{physicsinformedneuralnetworklyapunov,
  title = {Physics-Informed Neural Network Lyapunov Functions: PDE Characterization, Learning, and Verification},
  author = {Jun Liu and Yiming Meng and Maxwell Fitzsimmons and Ruikun Zhou},
  year = {2023},
  eprint = {2312.09131},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2312.09131v4},
}