用Robin边界条件求解杆的温度函数
Extremizing Temperature Functions of Rods with Robin Boundary Conditions
摘要：
我们比较了两个一维泊松问题的解决方案的罗宾边界条件，一个给定的数据，和一个数据已被对称化的区间。当Robin参数为正时，对称化为对称递减重排时，证明了对称化问题的解具有较大的递增凸平均。当Robin参数等于零（这样我们就有了Neumann边界条件），对称化是递减重排时，我们同样证明了对称化问题的解具有更大的凸均值。
英文摘要：
We compare the solutions of two one-dimensional Poisson problems on an interval with Robin boundary conditions, one with given data, and one where the data has been symmetrized. When the Robin parameter is positive and the symmetrization is symmetric decreasing rearrangement, we prove that the solution to the symmetrized problem has larger increasing convex means. When the Robin parameter equals zero (so that we have Neumann boundary conditions) and the symmetrization is decreasing rearrangement, we similarly show that the solution to the symmetrized problem has larger convex means.
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