PIECEWISE SMOOTH SOLUTIONS OF SEMILINEAR HYPEREOLIC SYSTEMSIN HIGHER SPACE DIMENSION
Citation：
Chen Shuxing.PIECEWISE SMOOTH SOLUTIONS OF SEMILINEAR HYPEREOLIC SYSTEMSIN HIGHER SPACE DIMENSION[J].Chinese Annals of Mathematics B,1989,10(3):361~370
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Authors：
Chen Shuxing;
Abstract：
This paper discusses piecewise smooth solutions for semilinear hyperbolic systems in multi-dimensional space.
In the class of piecewise smooth functions the author proves the existence and uniqueness of local solutions to the Cauchy problem for $\[3 \times 3\]$ hyperbolic system.
Besides， it is also proved that when two characteristic surfaces bearing weak singularities intersect, the solution will still be piecewise smooth and the weak singularities will propagatealong all characteristic surfaces.
