@Article{JPDE-1-1,
author = {},
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/1988-JPDE-5850},
url = {https://global-sci.com/article/89041/cauchy-problem-for-a-class-of-totally-characteristic-hyperbolic-operators-with-characteristics-of-variable-multiplicity-in-gevrey-classes}
}