二次谐波产生问题一种特殊情形的 Born 与逆 Born 级数
偏微分方程分析
2025-01-09 v2
摘要
我们研究二次谐波产生偏微分方程组一种特殊情形的 Born 与逆 Born 级数。我们给出前向算子的递推公式，并证明保证 Born 与逆 Born 级数收敛的有界性条件。我们还利用不动点理论给出 Born 级数收敛的显式条件。
引用
@article{arxiv.2412.13284,
title = {Born and Inverse Born Series for a Special Case of the Second Harmonic Generation Problem},
author = {Ross McNeill},
journal= {arXiv preprint arXiv:2412.13284},
year = {2025}
}
备注
Error in Lemma 7