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\(W^{1,p}\) estimates for nonlinear Schrödinger equations with partially BMO coefficients in Reifenberg domains

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Abstract

We studied global regularity properties for the Dirichlet problem concerning divergence form nonlinear Schrödinger equations with partially BMO coefficients in Reifenberg flat domains, and the corresponding \(W^{1, p}\)-regularity estimates for their weak solutions are obtained.

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Acknowledgements

The research was supported by the NNSF (11771023) of China.

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Correspondence to Lin Tang.

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Tang, L., Zhang, G. \(W^{1,p}\) estimates for nonlinear Schrödinger equations with partially BMO coefficients in Reifenberg domains. Math. Z. 304, 41 (2023). https://doi.org/10.1007/s00209-023-03300-y

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