Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions

Hideshi Yamane

Banach Center Publications (2012)

  • Volume: 97, Issue: 1, page 153-160
  • ISSN: 0137-6934

Abstract

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We study the lifespan of solutions to fully nonlinear second-order Cauchy problems with small real- or complex-analytic data. The nonlinear term is an analytic function in u, ū and their derivatives. We give an outline of the proof based on the method of majorants and the fixed point technique.

How to cite

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Hideshi Yamane. "Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions." Banach Center Publications 97.1 (2012): 153-160. <http://eudml.org/doc/281950>.

@article{HideshiYamane2012,
abstract = {We study the lifespan of solutions to fully nonlinear second-order Cauchy problems with small real- or complex-analytic data. The nonlinear term is an analytic function in u, ū and their derivatives. We give an outline of the proof based on the method of majorants and the fixed point technique.},
author = {Hideshi Yamane},
journal = {Banach Center Publications},
keywords = {nonlinear wave equations; method of majorants; fixed point technique},
language = {eng},
number = {1},
pages = {153-160},
title = {Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions},
url = {http://eudml.org/doc/281950},
volume = {97},
year = {2012},
}

TY - JOUR
AU - Hideshi Yamane
TI - Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions
JO - Banach Center Publications
PY - 2012
VL - 97
IS - 1
SP - 153
EP - 160
AB - We study the lifespan of solutions to fully nonlinear second-order Cauchy problems with small real- or complex-analytic data. The nonlinear term is an analytic function in u, ū and their derivatives. We give an outline of the proof based on the method of majorants and the fixed point technique.
LA - eng
KW - nonlinear wave equations; method of majorants; fixed point technique
UR - http://eudml.org/doc/281950
ER -

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