# On a transmission problem in elasticity

Christodoulos Athanasiadis; Ioannis G. Stratis

Annales Polonici Mathematici (1998)

- Volume: 68, Issue: 3, page 281-300
- ISSN: 0066-2216

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topChristodoulos Athanasiadis, and Ioannis G. Stratis. "On a transmission problem in elasticity." Annales Polonici Mathematici 68.3 (1998): 281-300. <http://eudml.org/doc/270557>.

@article{ChristodoulosAthanasiadis1998,

abstract = {The transmission problem for the reduced Navier equation of classical elasticity, for an infinitely stratified scatterer, is studied. The existence and uniqueness of solutions is proved. Moreover, an integral representation of the solution is constructed, for both the near and the far field.},

author = {Christodoulos Athanasiadis, Ioannis G. Stratis},

journal = {Annales Polonici Mathematici},

keywords = {transmission problem; infinitely stratified scatterer; scattering amplitudes; integral representation of solution; reduced Navier equation; existence; uniqueness},

language = {eng},

number = {3},

pages = {281-300},

title = {On a transmission problem in elasticity},

url = {http://eudml.org/doc/270557},

volume = {68},

year = {1998},

}

TY - JOUR

AU - Christodoulos Athanasiadis

AU - Ioannis G. Stratis

TI - On a transmission problem in elasticity

JO - Annales Polonici Mathematici

PY - 1998

VL - 68

IS - 3

SP - 281

EP - 300

AB - The transmission problem for the reduced Navier equation of classical elasticity, for an infinitely stratified scatterer, is studied. The existence and uniqueness of solutions is proved. Moreover, an integral representation of the solution is constructed, for both the near and the far field.

LA - eng

KW - transmission problem; infinitely stratified scatterer; scattering amplitudes; integral representation of solution; reduced Navier equation; existence; uniqueness

UR - http://eudml.org/doc/270557

ER -

## References

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- [11] K. Kiriaki and D. Polyzos, The low-frequency scattering theory for a penetrable scatterer with an impenetrable core in an elastic medium, Internat. J. Engrg. Sci. 26 (1988), 1143-1160. Zbl0676.73014
- [12] V. D. Kupradze, Potential Methods in the Theory of Elasticity, Israel Program for Scientific Translations, Jerusalem, 1965.
- [13] V. D. Kupradze (ed.), Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity, North-Holland, Amsterdam, 1979.
- [14] D. Polyzos, Low-frequency elastic scattering theory for a multi-layered scatterer with dyadic incidence, submitted.
- [15] P. C. Sabatier, On the scattering by discontinuous media, in: Inverse Problems in Partial Differential Equations, D. Colton, R. Ewing, W. Rundell (eds.), SIAM, Philadelphia, 1990, 85-100.
- [16] L. T. Wheeler and E. Sternberg, Some theorems in classical elastodynamics, Arch. Rational Mech. Anal. 31 (1968), 51-90. Zbl0187.47003

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