Abstract
The material here is centered around two basic systems: the Lamé operator arising in the theory of elasticity, and the Stokes operator arising in hydrodynamics. Among other things, all of their fundamental solutions that are tempered distributions are identified, and the well-posedness of the Poisson problem for the Lamé system is established.
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Mitrea, D. (2018). The Lamé and Stokes Operators. In: Distributions, Partial Differential Equations, and Harmonic Analysis. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-03296-8_10
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DOI: https://doi.org/10.1007/978-3-030-03296-8_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-03295-1
Online ISBN: 978-3-030-03296-8
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