Bifurcation of Solutions for an Inverse Problem in Potential Theory

DOI10.1002/SAPM199286131zbMath0743.65092OpenAlexW2524976121MaRDI QIDQ3988492

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Publication date: 28 June 1992

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm199286131

zbMATH Keywords

inverse problemLaplace equationexterior problemglobal continuationsolution branchesbifurcation of solutions

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Bifurcations in context of PDEs (35B32) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Cites Work

• The oblique derivative problem. II
• The oblique derivative problem. I
• Local existence of the solution to a nonlinear inverse problem in gravitation
• APPLICATION OF A NON-LINEAR BOUNDARY-VALUE PROBLEM FOR LAPLACE'S EQUATION TO GRAVITY AND GEOMAGNETIC INTENSITY SURVEYS

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