Layer potentials for elastostatics and hydrostatics in curvilinear polygonal domains

Author:
Jeff E. Lewis

Journal:
Trans. Amer. Math. Soc. **320** (1990), 53-76

MSC:
Primary 35J25; Secondary 35Q20, 35S05, 45K05, 47A53, 47G05, 73C02, 76D07

DOI:
https://doi.org/10.1090/S0002-9947-1990-1005935-5

MathSciNet review:
1005935

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Abstract | References | Similar Articles | Additional Information

Abstract: The symbolic calculus of pseudodifferential operators of Mellin type is applied to study layer potentials on a plane domain whose boundary is a curvilinear polygon. A "singularity type" is a zero of the determinant of the matrix of symbols of the Mellin operators and can be used to calculate the "bad values" of for which the system is not Fredholm on .

Using the method of layer potentials we study the singularity types of the system of elastostatics

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1990-1005935-5

Article copyright:
© Copyright 1990
American Mathematical Society