论文标题
具有分数功率类型非线性的椭圆方程的逆问题
Inverse problems for elliptic equations with fractional power type nonlinearities
论文作者
论文摘要
我们研究具有分数功率类型非线性的半线性椭圆方程的反问题。我们的论点基于高阶线性化方法，该方法有助于我们解决某些非线性方程的反问题，而在不知道相应线性方程的解决方案的情况下。通过使用此方法的分数适应，我们表明[LLLS20A，LLLS20B]的结果对于一般功率类型非线性仍然有效。
We study inverse problems for semilinear elliptic equations with fractional power type nonlinearities. Our arguments are based on the higher order linearization method, which helps us to solve inverse problems for certain nonlinear equations in cases where the solution for a corresponding linear equation is not known. By using a fractional order adaptation of this method, we show that the results of [LLLS20a, LLLS20b] remain valid for general power type nonlinearities.
