BOUNDARY INTEGRAL OPERATORS FOR PLATE BENDING INDOMAINS WITH CORNERSGUNTHER SCHMIDTWEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS
BOUNDARY INTEGRAL OPERATORS FOR PLATE BENDING INDOMAINS WITH CORNERSGUNTHER SCHMIDTWEIERSTRASS INSTITUTE FOR APPLIED ANALYSIS AND STOCHASTICS
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与 CornersGunther Schmidtweierstrass 应用分析和随机研究所合作的板弯曲域边界积分算子
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
G. Schmidt
中科院分区：
文献类型：
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作者：
G. Schmidt
研究了分段光滑曲线上具有角点的双拉普拉斯算子的边界积分算子，并刻划了它们在双调和方程变分解的迹空间中的映射性质.建立了求解非光滑平面区域上双调和方程混合边值问题的直接积分方程法，分析了相应积分方程组的可解性，并证明了其强椭圆性。
The paper studies boundary integral operators of the bi{Laplacian on piecewise smooth curves with corners and describes their mapping properties in the trace spaces of variational solutions of the biharmonic equation. We formulate a direct integral equation method for solving mixed boundary value problems for the biharmonic equation on a nonsmooth plane domain, analyse the solvability of the corresponding systems of integral equations and prove their strong ellipticity.