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| POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS |
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Citation： |
WANG Weike,YANG Xiongfeng.POINTWISE ESTIMATES OF SOLUTIONS TO CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics B,2003,24(4):457~468 |
| Page view： 1218
Net amount： 790 |
Authors： |
WANG Weike; YANG Xiongfeng |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10131050). |
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| Abstract： |
This paper considers the pointwise estimate of the solutions to Cauchy problem for quasilinear
hyperbolic systems, which bases on the existence of the solutions by using the fundamental
solutions. It gives a sharp pointwise estimates of the solutions on domain under consideration.
Specially, the estimate is precise near each characteristic direction. |
Keywords： |
Weakly linearly degenerate, Matching condition, Normalize translation
and normalize coordinate |
Classification： |
35L60, 35L65 |
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