LOCAL EXISTENCE THEOREM FOR FIRST ORDER SEMILINEAR HYPERBOLICSYSTEMS IN SEVERAL SPACE DIMENSIONS
Citation：
Zhou Yi.LOCAL EXISTENCE THEOREM FOR FIRST ORDER SEMILINEAR HYPERBOLICSYSTEMS IN SEVERAL SPACE DIMENSIONS[J].Chinese Annals of Mathematics B,1997,18(2):223~232
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Authors：
Zhou Yi;
Abstract：
This paper studies first order semilinear
hyperbolic systems in $n$ ($n\ge 2$) space dimensions.
Under the hypothesis that the system satisfies so called `null condition',
the local well-posedness for its Cauchy problem with initial data in
$H^{\frac{n-1}{2}}$ is proved.
