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- W4309135083 abstract "We consider the Born and inverse Born series for scalar waves with a cubic nonlinearity of Kerr type. We find a recursive formula for the operators in the Born series and prove their boundedness. This result gives conditions which guarantee convergence of the Born series, and subsequently yields conditions which guarantee convergence of the inverse Born series. We also use fixed point theory to give alternate explicit conditions for convergence of the Born series. We illustrate our results with numerical experiments." @default.
- W4309135083 created "2022-11-23" @default.
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- W4309135083 date "2022-11-14" @default.
- W4309135083 modified "2023-09-28" @default.
- W4309135083 title "Born and inverse Born series for scattering problems with Kerr nonlinearities" @default.
- W4309135083 doi "https://doi.org/10.48550/arxiv.2211.07352" @default.
- W4309135083 hasPublicationYear "2022" @default.
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