The interior Backus problem: local resolution in Hölder spaces

DOI10.1016/j.jde.2023.10.050zbMath1529.31003arXiv2212.00413MaRDI QIDQ6142408

Toru Kan, Rolando Magnanini, Michiaki Onodera

Publication date: 21 December 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.00413

zbMATH Keywords

Backus problemboundary vales of harmonic functions

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary behavior of harmonic functions in higher dimensions (31B25)

Cites Work

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• APPLICATION OF A NON-LINEAR BOUNDARY-VALUE PROBLEM FOR LAPLACE'S EQUATION TO GRAVITY AND GEOMAGNETIC INTENSITY SURVEYS

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