Reflective elastic waves at the boundary as a propagation of singularities phenomenon

Kazuhiro YAMAMOTO

doi:10.2969/jmsj/04210001

Kazuhiro YAMAMOTO

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JOURNAL FREE ACCESS

1990 Volume 42 Issue 1 Pages 1-11

DOI https://doi.org/10.2969/jmsj/04210001

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Published: 1990 Received: September 25, 1987 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) L. Hörmander, Fourier integral operator, Acta Math., 127 (1971), 79-183.
2) L. Hörmander, Linear partial differential operators, Springer, 1963.
3) A. Love, A treatise on the mathematical theory of elasticity, Fourth edition, Dover, New York, 1944.
4) J. Sjöstrand, Operators of principal type with interior boundary conditions, Acta Math., 130 (1973), 1-52.
5) M. Taylor, Reflection of singularities of solutions to system of differential equations, Comm. Pure Appl. Math., 28 (1975), 457-478.
6) K. Yamamoto, Singularities of solutions to the boundary value problems for elastic and Maxwell's equations, Japan. J. Math., 14 (1988), 119-163.
7) K. Yamamoto, Elastic waves in two solids as a propagation of singularities phenomenon, Nagoya Math. J., 116 (1989).
8) K. Yamamoto, An example of surface elastic waves arising from the interior, (to appear).

Right : [1] L. Hörmander, Fourier integral operator, Acta Math., 127 (1971), 79-183.
[2] L. Hörmander, Linear partial differential operators, Springer, 1963.
[3] A. Love, A treatise on the mathematical theory of elasticity, Fourth edition, Dover, New York, 1944.
[4] J. Sjöstrand, Operators of principal type with interior boundary conditions, Acta Math., 130 (1973), 1-52.
[5] M. Taylor, Reflection of singularities of solutions to system of differential equations, Comm. Pure Appl. Math., 28 (1975), 457-478.
[6] K. Yamamoto, Singularities of solutions to the boundary value problems for elastic and Maxwell's equations, Japan. J. Math., 14 (1988), 119-163.
[7] K. Yamamoto, Elastic waves in two solids as a propagation of singularities phenomenon, Nagoya Math. J., 116 (1989).
[8] K. Yamamoto, An example of surface elastic waves arising from the interior, (to appear).

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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