Born and Inverse Born Series for a Special Case of the Second Harmonic Generation Problem

Autor:	McNeill, Ross
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35R30 (Primary) 45Q05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We study the Born and Inverse Born series for a special case of the second harmonic generation system of PDEs. We give a recursive formula for the forward operators and prove boundedness conditions that guarantee the convergence of the Born and inverse Born series. We also use fixed point theory to give explicit conditions for convergence of the Born series. Comment: 11 pages. Comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.13284 Zobrazit plný text záznamu View this record from Arxiv