| 具有Dirichet-Signorini边值条件的二维Helmholtz方程的边界变分问题(英) |
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| 引用本文： | 王书文.具有Dirichet-Signorini边值条件的二维Helmholtz方程的边界变分问题(英)[J].新疆大学学报(理工版),1997(1). |
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| 作者姓名： | 王书文 |
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| 作者单位： | 西北民院数学系!兰州，730030 |
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| 摘 要： | 利用Green公式，基本解和基本解法向导数的性质．将二维区域Ω上的边值问题化为了等价的边界变分问题．证明了边界变分问题解的存在唯一性．
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| 关 键 词： | 变分不等式 存在唯一性 正则性 |
The Boundary Variational Problem for Two-Dimensional Helmholtz Equation with Dirichlet Signorini Boundary Value Condition |
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| Wang Shuwen.The Boundary Variational Problem for Two-Dimensional Helmholtz Equation with Dirichlet Signorini Boundary Value Condition[J].Journal of Xinjiang University(Science & Engineering),1997(1). |
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| Authors: | Wang Shuwen |
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| Institution: | Department of Mathematics Northwest Minorities College |
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| Abstract: | By use of Green formula,the foundamental solution and normal derivative of the solution of Dirichlet-Signorini problem, we reduce the original problem to an equivalent variational inequality on boundary, and prove bilinear form arising from this boundary variational inequality is continous and coervice on suitable Sobolev space, this leads to existence and uniqueress of the solution. |
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| Keywords: | Variational inequality existeuce and uniqueness regularity |
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