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Singularities and Constructive Methods for Their Treatment pp 300–307Cite as

Series expansions of biharmonic functions around a slit

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1121))

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References

  • Blum, H. and Rannacher, R. (1980). On the boundary value problem of the biharmonic operator on domains with angular corners. Math. Meth. in Appl. Sci. 2, pp.556–581.

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  • Grisvard, P. (1976). Behaviour of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain. Numerical solution of partial differential equations. III. B. Hubbard, editor. Academic Press, pp.207–274.

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  • Poritzki, H. (1946). Application of analytic functions to two-dimensional biharmonic analysis. Trans. A.M.S., vol.59, pp.248–279.

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  • Steinberg, J. (1980, 1982). The symmetry principle for biharmonic functions and its application to a problem in fracture mechanics. Technion preprint series No.MT-492, and No.MT-563.

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Authors and Affiliations

  1. Department of Mathematics Technion, Israel Institute of Technology, 32000, Haifa, Israel

    J. Steinberg

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  1. J. Steinberg
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Pierre Grisvard Wolfgang L. Wendland John R. Whiteman

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© 1985 Springer-Verlag

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Steinberg, J. (1985). Series expansions of biharmonic functions around a slit. In: Grisvard, P., Wendland, W.L., Whiteman, J.R. (eds) Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076277

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  • DOI: https://doi.org/10.1007/BFb0076277

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15219-4

  • Online ISBN: 978-3-540-39377-1

  • eBook Packages: Springer Book Archive

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