@Article{JPDE-1-31,
author = {Chen Hua},
title = {Cauchy Problem for a Class of Totally Characteristic Hyperbolic Operators with Characteristics of Variable Multiplicity in Gevrey Classes},
journal = {Journal of Partial Differential Equations},
year = {1988},
volume = {1},
number = {1},
pages = {31--41},
abstract = { This paper studies tho Cauchy problem of totally characteristic hyperbolic operator (1.1) in Gevrey classes, and obtains the following main result: Under the conditions (I) - (VI), if 1 &#8804 s < \frac{&#963}{&#963-1} (&#963 is definded by (1.7)). then the Cauchy problem (1.1) is wellposed in B ([0, T], G^s_{L&sup2}, (R^n)); if s = \frac{&#963}{&#963-1}, then the Cauchy problem (1.1) is wellpooed in B ([0, e], G^{\frac{&#963}{&#963-1}}_{L&sup2}(R^n)) (where e > 0, small enough). },
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5850.html}
}