Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition
Analysis of PDEs
2020-01-22 v2
Abstract
We revisit a method introduced by Tartar for proving global well-posedness of a semilinear hyperbolic system with null quadratic source in one space dimension. A remarkable point is that, since no dispersion effect is available for 1D hyperbolic systems, Tartar's approach is entirely based on spatial localization and finite speed of propagation.
Keywords
Cite
@article{arxiv.2001.03688,
title = {Revisitation of a Tartar's result on a semilinear hyperbolic system with null condition},
author = {Roberta Bianchini and Gigliola Staffilani},
journal= {arXiv preprint arXiv:2001.03688},
year = {2020}
}