Blowup of small data solutions for a quasilinear wave equation in two space dimensions
Analysis of PDEs
2016-09-07 v1
Abstract
For the quasilinear wave equation \partial_t^2u - \Delta u = u_t u_{tt}, we analyze the long-time behavior of classical solutions with small (not rotationally invariant) data. We give a complete asymptotic expansion of the lifespan and describe the solution close to the blowup point. It turns out that this solution is a ``blowup solution of cusp type,'' according to the terminology of the author.
Keywords
Cite
@article{arxiv.math/9901146,
title = {Blowup of small data solutions for a quasilinear wave equation in two space dimensions},
author = {Serge Alinhac},
journal= {arXiv preprint arXiv:math/9901146},
year = {2016}
}
Comments
31 pages, published version