@article{operatorlearningenhancedphysicsinformed, title = {Operator Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Characterized by Sharp Solutions}, author = {Bin Lin and Zhiping Mao and Zhicheng Wang and George Em Karniadakis}, year = {2023}, eprint = {2310.19590}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2310.19590v1}, }