| 半线性拟微分算子方程的奇性传播 |
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| 引用本文： | 刘林启,谭得春. 半线性拟微分算子方程的奇性传播[J]. 深圳大学学报(理工版), 1987, 0(Z1) |
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| 作者姓名： | 刘林启 谭得春 |
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| 摘 要： | 本文提出一类加权Sobolev空间,并研究其微局部乘积定理,然后讨论了一类半线性拟微分算子方程的解的H~(3)奇性传播。其主要定理包含并改进了八十年代以来,人们所获得的相应的半线性双曲方程解的奇性传播结论。
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| 关 键 词： | 微局部乘积 奇性传播 半线性方程 |
Propagation of Singularities for Semilinear Pseudodifferential Operator''''s Equation |
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| Liu Linqi , Tan Dechun. Propagation of Singularities for Semilinear Pseudodifferential Operator''''s Equation[J]. Journal of Shenzhen University(Science &engineering), 1987, 0(Z1) |
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| Authors: | Liu Linqi & Tan Dechun |
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| Affiliation: | Liu Linqi & Tan Dechun |
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| Abstract: | In this paper a kind of weighted Sobolev space is set up and its microlocal product theorem is researched. Then H~(3s) Propagation of singularities for the solutions to a kind of semlllnear pseudodifferential operator's equations is discussed. The main theorem includes and Improves the results about propagation of singularities for the solutions to relative semilinear hyperbolic equations which have been obtained since the 1980s. |
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| Keywords: | Microlocal Product Propagation of Singularlty Semilinear equation |
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