Abstract
By producing a L2 convergent Neumann series, we prove the invertibility of the elastostatics and hydrostatics boundary layer potentials on arbitrary Lipschitz domains with small Lipschitz character and 3D polyhedra with large dihedral angles.
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Mitrea, I. Spectral radius properties for layer potentials associated with the elastostatics and hydrostatics equations in nonsmooth domains. The Journal of Fourier Analysis and Applications 5, 385–408 (1999). https://doi.org/10.1007/BF01259379
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DOI: https://doi.org/10.1007/BF01259379