Propagation of singularities for linear partial differential equations and reflections at a boundary

L. Nirenberg

Séminaire Équations aux dérivées partielles (Polytechnique) (1975-1976)

  • page 1-18

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Nirenberg, L.. "Propagation of singularities for linear partial differential equations and reflections at a boundary." Séminaire Équations aux dérivées partielles (Polytechnique) (1975-1976): 1-18. <http://eudml.org/doc/111659>.

@article{Nirenberg1975-1976,
author = {Nirenberg, L.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
language = {eng},
pages = {1-18},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Propagation of singularities for linear partial differential equations and reflections at a boundary},
url = {http://eudml.org/doc/111659},
year = {1975-1976},
}

TY - JOUR
AU - Nirenberg, L.
TI - Propagation of singularities for linear partial differential equations and reflections at a boundary
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1975-1976
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 18
LA - eng
UR - http://eudml.org/doc/111659
ER -

References

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  1. [1] J. Chazarain, Parametrices for mixed problems for wave equations, Proc. Conf. Rennes, June 1975. 
  2. [2] F.G. Friedlander, The wave front set of the solution of a simple initial boundary value problem with glancing rays, Math. Proc. Cambridge Phil. Soc., to appear. Zbl0319.35053MR393861
  3. [3] L. Hörmander, On the existence and regularity of solutions of linear partial differential equations, L'Enseignement Math. (1971), pp. 99-163. Zbl0224.35084MR331124
  4. [4] A Majda, S. Osher, Reflection of singularities at the boundary, Comm. Pure Appl. Math., Vol. 28 (1975), to appear. Zbl0307.35077MR492792
  5. [5] B. Malgrange, Sur les points singuliers des equations différentielles (suite), No. 21, Sem. Goulaouic-Schwartz, École Polytechnique, 1971-72. Zbl0252.34032MR407898
  6. [6] R.B. Melrose, Microlocal parametrices for diffractive boundary value problems, to appear. Zbl0368.35055MR517101
  7. [7] L. Nirenberg, Lectures on linear partial differential equations, Regional Conference Series in Math., No. 17, Amer. Math. Soc. (1973). Zbl0267.35001MR450755
  8. [8] A. Povzner, J. Sukharevskii, Discontinuities of the Green's function of a mixed problem for the wave equation. Mat. Sbornik Akad. Nauk, 51(1960), pp. 3-26; Amer. Math. Soc. translations, Ser. 2. Vol. 47, pp. 131-156. Zbl0156.11501MR114041
  9. [9] J.V. Ralston, On the propagation of singularities .n solutions of symmetric hyperbolic partial differential equatitons, appear. Zbl0336.35066
  10. [10] M.E. Taylor, Reflection of singularities of solutions to systems of differential equations, Comm. Pure Appl. Math., to appear. Zbl0332.35058MR509098
  11. [11] M.E. Taylor, Grazing rays and reflection of singularities of solutions to wave equations, to appear. Zbl0318.35009MR397175

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