论文标题
半线性椭圆方程的延续独特性
Uniqueness of continuation for semilinear elliptic equations
论文作者
论文摘要
我们量化了凯奇或内部数据的延续的唯一性。我们的方法包括在线性情况下扩展现有结果。与产品一样，我们在线性情况下获得了新的稳定性估计。我们还展示了所谓的延续性唯一性和与一系列积极度量的延续的独特性。这些结果是通过使用线性化过程得出的。
We quantify the uniqueness of continuation from Cauchy or interior data. Our approach consists in extending the existing results in the linear case. As by product we obtain a new stability estimate in the linear case. We also show the so-called strong uniqueness of continuation and the uniqueness of continuation from a set of positive measure. These results are derived by using a linearization procedure.
