Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions
Volume 97 / 2012
Banach Center Publications 97 (2012), 153-160
MSC: Primary 35A01; Secondary 35L70.
DOI: 10.4064/bc97-0-11
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 $u$, $\bar u$ and their derivatives. We give an outline of the proof based on the method of majorants and the fixed point technique.
