Propagation, reflection and refraction of singularities for a hyperbolic transmission problem in two adjacent angular regions

Lorenza Diomeda; Benedetta Lisena

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 78, page 1-26
  • ISSN: 0041-8994

How to cite

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Diomeda, Lorenza, and Lisena, Benedetta. "Propagation, reflection and refraction of singularities for a hyperbolic transmission problem in two adjacent angular regions." Rendiconti del Seminario Matematico della Università di Padova 78 (1987): 1-26. <http://eudml.org/doc/108077>.

@article{Diomeda1987,
author = {Diomeda, Lorenza, Lisena, Benedetta},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {propagation; reflection; singularities; transmission problem; wave equation; different sound speeds; explicit potential representation; bicharacteristic lines; wave front set; refraction; angular regions; geometric optics},
language = {eng},
pages = {1-26},
publisher = {Seminario Matematico of the University of Padua},
title = {Propagation, reflection and refraction of singularities for a hyperbolic transmission problem in two adjacent angular regions},
url = {http://eudml.org/doc/108077},
volume = {78},
year = {1987},
}

TY - JOUR
AU - Diomeda, Lorenza
AU - Lisena, Benedetta
TI - Propagation, reflection and refraction of singularities for a hyperbolic transmission problem in two adjacent angular regions
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 78
SP - 1
EP - 26
LA - eng
KW - propagation; reflection; singularities; transmission problem; wave equation; different sound speeds; explicit potential representation; bicharacteristic lines; wave front set; refraction; angular regions; geometric optics
UR - http://eudml.org/doc/108077
ER -

References

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  2. [2] J. Cheeger - M. TAYLOR, On the diffraction of waves by conical singularities I, II, Comm. Pure Appl. Math., 25 (1982), pp. 275-331, 487-529. Zbl0536.58032MR649347
  3. [3] E.B. Fabes - M. Jodeit - J.E. Lewis, On the spectra of a Hardy Kernel, J. Funct. Analysis, 21 (1976), pp. 187-194. Zbl0321.47038MR394311
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  5. [5] L. Hormander, The analysis of linear partial difeerential operators, Springer-Verlag (1983). 
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  7. [7] M. Kalka - A. MENIKOFF, The wave equation on a cone, Comm. P. D. E., 7 (1982), pp. 223-278. Zbl0501.58037MR646708
  8. [8] M. Rouleux, Diffraction analytique sur uni variete a singularite conique, These de doctorat, Université de Paris (1984). 
  9. [9] I. Stakgold, Boundary value problems of mathematical physics, Vol. II, Mac Millan (1967). Zbl0165.36803MR243183
  10. [10] M.E. Taylor, Reflection of singularities of solutions to systems of differential equations, Comm. Pure Appl. Math., 28 (1975), pp. 457-478. Zbl0332.35058MR509098
  11. [11] M.E. Taylor, Pseudodifferential operators, Princeton University Press (1981). Zbl0453.47026MR618463
  12. [12] J.P. Varenne, Diffraction par un angle ou un diedre, These de doctorat, Université de Nice (1979). Zbl0432.35048
  13. [13] G. Watson, A treatise on the theory of Bessel functions, Cambridge University Press (1944). Zbl0063.08184MR10746JFM48.0412.02

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