A relation between two biharmonic Green’s functions on Riemannian manifolds
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- by Dennis Hada PDF
- Trans. Amer. Math. Soc. 227 (1977), 251-261 Request permission
Abstract:
The biharmonic Green’s function $\gamma$ whose values and Laplacian are identically zero on the boundary of a region and the biharmonic Green’s function $\Gamma$ whose values and normal derivative vanish on the boundary originated in the investigation of thin plates whose edges are simply supported or clamped, respectively. A relation between these two biharmonic Green’s functions known for planar regions is extended to Riemannian manifolds thereby establishing that any Riemannian manifold for which $\gamma$ exists must also carry $\Gamma$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 227 (1977), 251-261
- MSC: Primary 31C10
- DOI: https://doi.org/10.1090/S0002-9947-1977-0430283-5
- MathSciNet review: 0430283