Title of article :
A Note on Lower Bound Lifespan Estimates for Semi-linear Wave/Klein–Gordon Equations Associated with the Harmonic Oscillator
Author/Authors :
Zhang ، Qidi Department of Mathematics - East China University of Science and Technology , Zheng ، Lvsi Department of Mathematics - East China University of Science and Technology
Abstract :
In this paper, we show that for almost every m 0, the solution to the semi-linear Klein–Gordon equation associated with the harmonic oscillator, with small initial data, exists over a longer time interval than the one given by local existence theory, using the normal form method. A similar result for the quadratic wave equation is also obtained.
Keywords :
Harmonic oscillator , Wave equations , Klein–Gordon equations , Long time existence ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
