Local Existence for Nonlinear Wave Equation with Radial Data in 2+1 Dimensions
Analysis of PDEs
2007-05-23 v1
Abstract
We get a local existence result in with for second order quasilinear wave equation with radial initial data in 2+1 dimensions, based on an improvement of Strichartz estimate in the radial case. Moreover, we get the corresponding local well-posed result for semilinear wave equation. The required index of regularity here is 1/4 less than the index 7/4, which is essentially sharp in general.
Cite
@article{arxiv.0705.2849,
title = {Local Existence for Nonlinear Wave Equation with Radial Data in 2+1 Dimensions},
author = {Chengbo Wang and Daoyuan Fang},
journal= {arXiv preprint arXiv:0705.2849},
year = {2007}
}