The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II

Paul Godin

Annales de l'I.H.P. Analyse non linéaire (2000)

  • Volume: 17, Issue: 6, page 779-815
  • ISSN: 0294-1449

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Godin, Paul. "The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II." Annales de l'I.H.P. Analyse non linéaire 17.6 (2000): 779-815. <http://eudml.org/doc/78509>.

@article{Godin2000,
author = {Godin, Paul},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {blow-up curve; mixed problem},
language = {eng},
number = {6},
pages = {779-815},
publisher = {Gauthier-Villars},
title = {The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II},
url = {http://eudml.org/doc/78509},
volume = {17},
year = {2000},
}

TY - JOUR
AU - Godin, Paul
TI - The blow-up curve of solutions of mixed problems for semilinear wave equations with exponential nonlinearities in one space dimension, II
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2000
PB - Gauthier-Villars
VL - 17
IS - 6
SP - 779
EP - 815
LA - eng
KW - blow-up curve; mixed problem
UR - http://eudml.org/doc/78509
ER -

References

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  1. [1] Caffarelli L.A., Friedman A., The blow-up boundary for nonlinear wave equations, Trans. Am. Math. Soc.297 (1) (1986) 223-241. Zbl0638.35053MR849476
  2. [2] Caffarelli L.A., Friedman A., Differentiability of the blow-up curve for one dimensional nonlinear wave equations, Arch. Ration. Mech. Anal.91 (1985) 83-98. Zbl0593.35055MR802832
  3. [3] Godin P., The blow-up curve of solutions of mixed problems for semilinear wave equations with exponenetial nonlinearities in one space dimension, I, to appear in Calc. Var. Partial Differential Equations. Zbl1006.35066MR1854257
  4. [4] Hartman P., Ordinary Differential Equations, Wiley, New York, 1964. Zbl0125.32102MR171038
  5. [5] Hille E., Lectures on Ordinary Differential Equations, Wiley, New York, 1964. Zbl0179.40301
  6. [6] Keller J.B., On solutions of nonlinear wave equations, Comm. Pure Appl. Math.10 (1957) 523-530. Zbl0090.31802MR96889
  7. [7] Kichenassamy S., The blow-up problem for exponential nonlinearities, Comm. Partial Differential Equations21 (1-2) (1996) 125-162. Zbl0846.35083MR1373767

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