On a free boundary value problem of physical geodesy, II (existence)

DOI10.1002/mma.1670080102zbMath0617.35136OpenAlexW2153721879MaRDI QIDQ4726764

Karl-Josef Witsch

Publication date: 1986

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670080102

zbMATH Keywords

regularityLegendre transformPoisson equationHölder exponentfree boundary value problemgeodetic boundary problemearth figure

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Geodesy, mapping problems (86A30)

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Cites Work

• Unnamed Item
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• The imbedding problem for Riemannian manifolds
• Sui problemi di derivata obliqua per le equazioni ellittiche
• A uniqueness result for the geodetic boundary problem
• The boundary problems of physical geodesy
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• On a free boundary value problem of physical geodesy, I (uniqueness)
• Elliptic Partial Differential Equations of Second Order
• Analyticity at the boundary of solutions of nonlinear second-order parabolic equations