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Riemann–Hilbert approach to the elastodynamic equation: half plane

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Abstract

We show, how the Riemann–Hilbert approach to the elastodynamic equations, which have been suggested in our preceding papers, works in the half plane case. We pay a special attention to the emergence of the Rayleigh waves within the scheme.

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Acknowledgements

This work was partially supported by the National Science Foundation (NSF) under Grants No. MSS-9313578 and DMS-1361856 and by Grant of London Mathematical Society. The authors are very grateful to M. A. Lyalinov for many illuminating discussions.

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  1. Department of Mathematical Sciences, Indiana University – Purdue University Indianapolis, Indianapolis, IN, 46202-3216, USA

    Alexander Its & Elizabeth Its

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  1. Alexander Its
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  2. Elizabeth Its
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Correspondence to Elizabeth Its.

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Its, A., Its, E. Riemann–Hilbert approach to the elastodynamic equation: half plane. Lett Math Phys 111, 68 (2021). https://doi.org/10.1007/s11005-021-01390-5

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  • DOI: https://doi.org/10.1007/s11005-021-01390-5

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