Normal Forms and Long Time Existence for Semi-Linear Klein-Gordon Equations

Jean-Marc Delort

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 1, page 1-23
  • ISSN: 0392-4041

Abstract

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We present in this text two results of long time existence for solutions of nonlinear Klein-Gordon equations, obtained through normal forms methods. In particular, we indicate how these methods allow one to obtain almost global solutions for that equation on spheres, despite the fact that such solutions do not go to zero when time goes to infinity.

How to cite

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Delort, Jean-Marc. "Normal Forms and Long Time Existence for Semi-Linear Klein-Gordon Equations." Bollettino dell'Unione Matematica Italiana 10-B.1 (2007): 1-23. <http://eudml.org/doc/290439>.

@article{Delort2007,
abstract = {We present in this text two results of long time existence for solutions of nonlinear Klein-Gordon equations, obtained through normal forms methods. In particular, we indicate how these methods allow one to obtain almost global solutions for that equation on spheres, despite the fact that such solutions do not go to zero when time goes to infinity.},
author = {Delort, Jean-Marc},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {1-23},
publisher = {Unione Matematica Italiana},
title = {Normal Forms and Long Time Existence for Semi-Linear Klein-Gordon Equations},
url = {http://eudml.org/doc/290439},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Delort, Jean-Marc
TI - Normal Forms and Long Time Existence for Semi-Linear Klein-Gordon Equations
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/2//
PB - Unione Matematica Italiana
VL - 10-B
IS - 1
SP - 1
EP - 23
AB - We present in this text two results of long time existence for solutions of nonlinear Klein-Gordon equations, obtained through normal forms methods. In particular, we indicate how these methods allow one to obtain almost global solutions for that equation on spheres, despite the fact that such solutions do not go to zero when time goes to infinity.
LA - eng
UR - http://eudml.org/doc/290439
ER -

References

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