部分铰接边界条件下双调和算子的一个保正性结果
A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions
摘要：
众所周知，对于高阶椭圆型方程，保正性（PPP）可能失效。与Dirichlet边界条件下的情形形成鲜明对比的是，我们证明了部分铰接边界条件下矩形区域上的双调和算子的PPP成立，即非负载荷产生正解.结果如下的相应的格林函数的傅立叶展开的精细估计。
英文摘要：
It is well known that for higher order elliptic equations the positivity preserving property (PPP) may fail. In striking contrast to what happens under Dirichlet boundary conditions, we prove that the PPP holds for the biharmonic operator on rectangular domains under partially hinged boundary conditions, i.e. nonnegative loads yield positive solutions. The result follows by fine estimates of the Fourier expansion of the corresponding Green function.
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