Well-posedness and propagation of singularities for initial boundary value problem for second order hyperbolic equation with general boundary condition

G. Eskin

Séminaire Équations aux dérivées partielles (Polytechnique) (1979-1980)

  • page 1-14

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Eskin, G.. "Well-posedness and propagation of singularities for initial boundary value problem for second order hyperbolic equation with general boundary condition." Séminaire Équations aux dérivées partielles (Polytechnique) (1979-1980): 1-14. <http://eudml.org/doc/111760>.

@article{Eskin1979-1980,
author = {Eskin, G.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {eng},
pages = {1-14},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Well-posedness and propagation of singularities for initial boundary value problem for second order hyperbolic equation with general boundary condition},
url = {http://eudml.org/doc/111760},
year = {1979-1980},
}

TY - JOUR
AU - Eskin, G.
TI - Well-posedness and propagation of singularities for initial boundary value problem for second order hyperbolic equation with general boundary condition
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 14
LA - eng
UR - http://eudml.org/doc/111760
ER -

References

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  1. [1] R. Beals: Mixed boundary value problems for non strict hyperbolic equationsBull. AMS (1972) pp.520-521. Zbl0255.35062MR298225
  2. [2] J. Chazarain: Problèmes de Cauchy abstraits et application a quelques problèmes mixtes, J. Funct. Analysis v. 7. (1971), pp.386-446. Zbl0211.12902MR276830
  3. [3] G. Eskin: Parametrix and propagation of singularities for the interior mixed hyperbolic problem, Journ. d'Analyse Math. v. 32. (1977) pp.17-62. Zbl0375.35037MR477491
  4. [4] G. Eskin: Propagation of singularities for the interior mixed hyperbolic problem, Sem. Goulaouic-Schwartz1976-1977, exposé n° XII. Zbl0361.35042MR481566
  5. [5] L. Garding: Le problème de la dérivée oblique pour l'équation des ondes, C. R. Acad. Sc. Paris t.285, 1977, pp.773-775, ET C. R. Acad. Sc.Paris t.286 (1978 p.1199. Zbl0386.35024
  6. [6] I.M. Gelfand, G.E. Shilov: Generalized functions v.3, FizmatgizMoscow, 1958. Zbl0159.18301
  7. [7] M. Ikawa: Problèmes mixtes pour l'équation des ondes II, Pibl. R.I.M.S. Kyoto Univ. v. 13. n° 1 (1977), 61-106. Zbl0362.35054MR499747
  8. [8] M. Ikawa: On the mixed problems for the wave equation in an interior domain, Comm. in P. D. E.3(3), 249-295 (1978). Zbl0389.35028MR481557
  9. [9] M. Ikawa: Preprint (1979). 
  10. [10] R. Melrose, J. Sjostrand: Propagation of singularities near the boundary II (in preparation). Zbl0546.35083
  11. [11] S. Miyataké: A sharp form of the existence theorem for hyperbolic mixed problems of second order, J. Math. Kyoto Univ.17 (2), 1977, p.199-223. Zbl0374.35028MR492901
  12. [12] K. Kajitani: A necessary condition for the well-posed hyperbolic mixed problem with variable coefficients, J. Math. Kyoto University14 (1974), 231-242. Zbl0291.35058MR377294
  13. [13] L. Nirenberg: Lectures on Linear P. D. E., Regional conference series in Math., n° 17, Providence, R. I., 1973. Zbl0267.35001MR450755

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