| 拟线性对称双曲型方程组在劈状区域内的合格边值问题 |
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| 引用本文： | 李得宁. 拟线性对称双曲型方程组在劈状区域内的合格边值问题[J]. 复旦学报(自然科学版), 1988, 0(2) |
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| 作者姓名： | 李得宁 |
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| 作者单位： | 复旦大学数学研究所 |
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| 摘 要： | 本文考虑在劈状区域内拟线性对称双曲型方程组的边值问题,在对边界条件的一定限制下,给出了通常Sobolev模的能量估计并证明了解的存在性,并用同样方法讨论了小交角区域内对称双曲型方程组的初边值问题。
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| 关 键 词： | 对称双曲型方程组 边值问题 劈状区域。 |
BOUNDARY VALUE PROBLEMS FOR QUASILINEAR SYMMETRIC HYPERBOLIC SYSTEMS IN WEDGE DOMAIN |
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| Li Dening,. BOUNDARY VALUE PROBLEMS FOR QUASILINEAR SYMMETRIC HYPERBOLIC SYSTEMS IN WEDGE DOMAIN[J]. Journal of Fudan University(Natural Science), 1988, 0(2) |
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| Authors: | Li Dening |
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| Affiliation: | Institute of Mathematics |
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| Abstract: | Boundary value Problems are considered for quasilinear symmetric hyperbolicsystems in the wedge domain. Under certain restrictions upon the boundary condi-tions, the energy estimate is given in the usual Sobolev norm and the existence ofsolution is proved. A similar method applies to the discussion of the initial boundaryvalue problems for symmetric hyperbolic system in a domain with nearly plain corners. |
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| Keywords: | symmetric hyperbolic system boundary value problem wedge domain. |
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