@Article{JPDE-24-361,
author = {Olfa Mahouachi  and Tarek Saanouni },
title = {Well- and Ill-posedness Issues for a Class of 2D Wave Equation with Exponential Growth},
journal = {Journal of Partial Differential Equations},
year = {2011},
volume = {24},
number = {4},
pages = {361--384},
abstract = {<p>Extending the previous work [1], we establish well-posedness results for a more general class of semilinear wave equations with exponential growth. First, we investigate the well-posedness in the energy space. Then, we prove the propagation of the regularity in the Sobolev spaces H^s(R^2) with s ≥ 1. Finally, an ill-posedness result is obtained in H^s(R^2) for s &lt; 1.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v24.n4.7},
url = {http://global-sci.org/intro/article_detail/jpde/5217.html}
}