论文标题
半线性椭圆逆问题的Hölder稳定性
Hölder stability for a semilinear elliptic inverse problem
论文作者
论文摘要
我们关注的是通过边界测量在半线性椭圆方程中确定非线性项的问题。确切地说，我们改进了[5，定理1.3]，在该中对数类型稳定性估计值。我们实际上表明，我们具有较少的边界测量值和较少规则的非线性的Hölder稳定性估计。我们通过遵循与[4]相同的方法来确定稳定不等式。该方法包括构建在域子群处消失的特殊解决方案。
We are concerned with the problem of determining the nonlinear term in a semilinear elliptic equation by boundary measurements. Precisely, we improve [5, Theorem 1.3], where a logarithmic type stability estimate was proved. We show actually that we have Hölder stability estimate with less boundary measurents and less regular nonlinearities. We establish our stability inequality by following the same method as in [4]. This method consists in constructing special solutions vanishing at a subboundary of the domain.
