| 一维拟线性波动方程带耗散边界条件的第三边值问题 |
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| 引用本文： | 赵彦淳.一维拟线性波动方程带耗散边界条件的第三边值问题[J].复旦学报(自然科学版),1988(3). |
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| 作者姓名： | 赵彦淳 |
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| 作者单位： | 复旦大学数学研究所 |
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| 摘 要： | 本文对一维拟线性波动方程带耗散边界条件的第三边值问题(?) 在边界耗散适当大的条件下证明了若初值的C~2模适当小,则存在唯一的整体C~2解。
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| 关 键 词： | 拟线性 波动方程 边值问题。 |
THE THIRD BOUNDARY VALUE PROBLEMS OF ONE DIMENSIONAL QUASILINEAR WAVE EQUATIONS WITH BOUNDARY DISSIPATION |
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| Zhao Yanchun,.THE THIRD BOUNDARY VALUE PROBLEMS OF ONE DIMENSIONAL QUASILINEAR WAVE EQUATIONS WITH BOUNDARY DISSIPATION[J].Journal of Fudan University(Natural Science),1988(3). |
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| Authors: | Zhao Yanchun |
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| Institution: | Institute of Mathematics |
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| Abstract: | In this paper, the following problemis considered. It is proved that if (?) and theC~2 compatihility conditions hold at the point (0, 0) and (0, L), then there exists an (?),such that if (?) and (?) then problem (I) admits a uniquesmooth solution u (t, x) on the whole region (?), with theestimate (?) on R, where K is an appropriate constant. |
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| Keywords: | quasilinear wave equation boundary value problems |
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