Remarks on the Klein-Gordon equation

Lars Hörmander

Journées équations aux dérivées partielles (1987)

  • page 1-9
  • ISSN: 0752-0360

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Hörmander, Lars. "Remarks on the Klein-Gordon equation." Journées équations aux dérivées partielles (1987): 1-9. <http://eudml.org/doc/93154>.

@article{Hörmander1987,
author = {Hörmander, Lars},
journal = {Journées équations aux dérivées partielles},
keywords = {nonlinear perturbations; Klein-Gordon equation; Cauchy problem; small data; global solution; asymptotic properties; global existence},
language = {eng},
pages = {1-9},
publisher = {Ecole polytechnique},
title = {Remarks on the Klein-Gordon equation},
url = {http://eudml.org/doc/93154},
year = {1987},
}

TY - JOUR
AU - Hörmander, Lars
TI - Remarks on the Klein-Gordon equation
JO - Journées équations aux dérivées partielles
PY - 1987
PB - Ecole polytechnique
SP - 1
EP - 9
LA - eng
KW - nonlinear perturbations; Klein-Gordon equation; Cauchy problem; small data; global solution; asymptotic properties; global existence
UR - http://eudml.org/doc/93154
ER -

References

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  1. 1. L. Hörmander, “The analysis of linear partial differential operators I-IV”, Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1983-1985. Zbl0601.35001
  2. 2. L. Hörmander, L1, L∞ estimates for the wave operator, Mittag-Leffler Institute reports 1 (1986). 
  3. 3. L. Hörmander, On Sobolev spaces associated with some Lie algebras, Mittag-Leffler Institute reports 4 (1985). Zbl0658.46023
  4. 4. L. Hörmander, The lifespan of classical solutions of non-linear hyperbolic equations, Mittag-Leffler Institute reports 5 (1985). Zbl0632.35045
  5. 5. S. Klainerman, Uniform decay estimates and Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math. 38 (1985), 331-332. Zbl0635.35059MR86i:35091
  6. 6. S. Klainerman, Global existence of small amplitude solutions to nonlinear Klein-Gordon equations in four space-time dimensions, Comm. Pure Appl. Math. 38 (1985), 631-641. Zbl0597.35100MR87e:35080
  7. 7. J. Shatah, Normal forms and quadratic nonlinear Klein-Gordon equations, Comm. Pure Appl. Math. 38 (1985), 685-696. Zbl0597.35101MR87b:35160
  8. 8. W. von Wahl, Lp decay rates for homogeneous wave equations, Math. Z. 120 (1971), 93-106. Zbl0212.44201MR43 #6604

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