Analytic solutions to the inverse problem of the Newtonian potential

DOI10.1016/0022-247X(88)90233-8zbMath0661.31011MaRDI QIDQ1112980

Carla Maderna, Sandro Salsa, Carlo Domenico Pagani

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existenceinverse problemestimatesNewtonian potentialCauchy and Dirichlet problemsNash-Moser iteration technique

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Inverse problems for PDEs (35R30) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Cites Work

• The boundary problems of physical geodesy
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• Stability of a Surface Determined from Measures of Potential
• Existence results in an inverse problem of potential theory
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