Local existence of the solution to a nonlinear inverse problem in gravitation

DOI10.1090/qam/895098zbMath0634.31004OpenAlexW2469726675MaRDI QIDQ3772488

M. C. Jorge

Publication date: 1987

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/895098

zbMATH Keywords

local existenceperturbation expansionSchauder estimatesexternal gravitational potentialexternal gravitational fieldCauchy-Kowalewsky estimatesnonlinear oblique boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Potentials, prospecting (86A20) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (5)

Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces ⋮ Bifurcation of Solutions for an Inverse Problem in Potential Theory ⋮ The interior Backus problem: local resolution in Hölder spaces ⋮ A scalar prototype problem of deep abrasive drilling with an infinite free boundary: an asymptotic modeling study ⋮ On an oblique boundary value problem related to the Backus problem in geodesy

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