Semilinear wave equations with angularly smooth data

Michael Beals

Journées équations aux dérivées partielles (1984)

  • page 1-5
  • ISSN: 0752-0360

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Beals, Michael. "Semilinear wave equations with angularly smooth data." Journées équations aux dérivées partielles (1984): 1-5. <http://eudml.org/doc/93105>.

@article{Beals1984,
author = {Beals, Michael},
journal = {Journées équations aux dérivées partielles},
keywords = {semilinear; propagation of singularities; singularities of the data; smooth data; caustics; angularly smooth},
language = {eng},
pages = {1-5},
publisher = {Ecole polytechnique},
title = {Semilinear wave equations with angularly smooth data},
url = {http://eudml.org/doc/93105},
year = {1984},
}

TY - JOUR
AU - Beals, Michael
TI - Semilinear wave equations with angularly smooth data
JO - Journées équations aux dérivées partielles
PY - 1984
PB - Ecole polytechnique
SP - 1
EP - 5
LA - eng
KW - semilinear; propagation of singularities; singularities of the data; smooth data; caustics; angularly smooth
UR - http://eudml.org/doc/93105
ER -

References

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  1. [1] M. Beals, Self-spreading and strength of singularities for solutions to semilinear wave equations, Ann. of Math. 118 (1983), 187-214. Zbl0522.35064MR85c:35057
  2. [2] M. Beals, Nonlinear wave equations with data singular at one point, Contemp. Math. 27 (1984), 83-95. Zbl0552.35055MR85f:35140
  3. [3] J. Berning and M. Reed, Reflection of singularities of one-dimensional wave equations at boundaries, Journ. Math. Anal. Appl. 72 (1979), 635-653. Zbl0435.35055MR81e:35084
  4. [4] J.M. Bony, Interaction des singularities pour les équations aux derivees partielles non lineaires, Sem. Joulaouic-Schwartz (1981-1982), exp. n° 2. Zbl0498.35017
  5. [5] J.M. Bony, Interaction des singularities pour les equations de Klein-Jordon non lineaires, Sem. Joulaouic-Schwartz (1983-1984), exp. n° 10. Zbl0555.35118
  6. [6] J.M. Bony, Propagation et interaction des singularities pour les solutions des equations aux derivees partielles non lineaires, (preprint). Zbl0573.35014
  7. [7] R. Melrose and N. Ritter, Interaction of nonlinear progressing waves, (preprint). Zbl0575.35063
  8. [8] J. Rauch and M. Reed, Propagation of singularities for semilinear hyperbolic equations in one space variable, Ann. of Math. 111 (1980), 531-552. Zbl0432.35055MR81h:35028
  9. [9] J. Rauch and M. Reed, Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension, Duke Math. J. 49 (1982), 397-475. Zbl0503.35055MR83m:35098
  10. [10] J. Rauch and M. Reed, Striated solutions of semilinear two speed wave equations, (preprint). Zbl0537.35057

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