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

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 -