PINNs error estimates for nonlinear equations in ℝ-smooth Banach spaces

05/18/2023

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by   Jiexing Gao, et al.

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In the paper, we describe in operator form classes of PDEs that admit PINN's error estimation. Also, for L^p spaces, we obtain a Bramble-Hilbert type lemma that is a tool for PINN's residuals bounding.