TY - JOUR
T1 - About the Existence Time of Solutions for Field Equations in the One Space Dimension
JO - Journal of Partial Differential Equations
VL - 2
SP - 176
EP - 192
PY - 2000
DA - 2000/05
SN - 13
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5505.html
KW - Field equations
KW - weakly decaying data
KW - existence time estimate
AB -  In this paper, we study the lower bounds problem for the existence time or solutions to the different massive Dinac-Kiein-Gordon equations and with different massive Klein-Gordon equations, in one space dimension, for weakly decaying Cauchy data, of size ε. The results assert that the existence time is (almost) larger than ε^{-4}.