Semilinear waves with cusp singularities

Richard B. Melrose

Journées équations aux dérivées partielles (1987)

  • page 1-10
  • ISSN: 0752-0360

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Melrose, Richard B.. "Semilinear waves with cusp singularities." Journées équations aux dérivées partielles (1987): 1-10. <http://eudml.org/doc/93144>.

@article{Melrose1987,
author = {Melrose, Richard B.},
journal = {Journées équations aux dérivées partielles},
keywords = {strictly hyperbolic; propagation of conormal regularity; semilinear; wavefront; cusp singularities},
language = {eng},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {Semilinear waves with cusp singularities},
url = {http://eudml.org/doc/93144},
year = {1987},
}

TY - JOUR
AU - Melrose, Richard B.
TI - Semilinear waves with cusp singularities
JO - Journées équations aux dérivées partielles
PY - 1987
PB - Ecole polytechnique
SP - 1
EP - 10
LA - eng
KW - strictly hyperbolic; propagation of conormal regularity; semilinear; wavefront; cusp singularities
UR - http://eudml.org/doc/93144
ER -

References

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  1. [1] V.I. Arnol'd, Wave fronts evolution and equivariant Morse lemma, Comm. Pure Appl. Math. 28 (1976), 557-582. Zbl0343.58003MR55 #9148
  2. [2] J.-M. Bony, Interaction des singularités pour les équations aux dérivées partielles non linéaires, Sem. Goulaouic Schwartz (1979-1980). Zbl0449.35006
  3. [3] J.-M. Bony, Second microlocalization and propagation of singularities for semi-linear hyperbolic equations, in “Proc. Int. Workshop and Symposium on hyperbolic equations, Kyoto,” 1984 (to appear). Zbl0669.35073
  4. [4] J.-M. Bony and N. Lerner, Quantification asymptotique et microlocalisations d'ordre supérieur, Sém. équations aux dérivées partielles Exp II (1986-1987). Zbl0654.35005
  5. [5] R.B. Melrose, Pseudodifferential operators on manifolds with corner, Preprint. Zbl1125.58304
  6. [6] R.B. Melrose, Marked Lagrangian distributions, In preparation. 
  7. [7] R.B. Melrose and N. Ritter, Interaction of nonlinear progressing waves for semilinear wave equations, Ann. of Math. 121 (1985), 187-213. Zbl0575.35063MR86m:35005
  8. [8] R.B. Melrose and N. Ritter, Interaction of progressing waves for semilinear wave equations II, Inst. Mittag-Leffler Report (1985), no. 7, Math. Scand. (to appear). Zbl0575.35063
  9. [9] R.B. Melrose and G.A. Uhlmann, Lagrangian intersection and the Cauchy problem, Comm. Pure Appl. Math. 32 (1979), 483-519. Zbl0396.58006MR81d:58052

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