论文标题
半线性方程的反问题，涉及分数拉普拉斯
An inverse problem for semilinear equations involving the fractional Laplacian
论文作者
论文摘要
我们的工作涉及对涉及带有零订单非线性扰动的分数拉普拉斯操作员的热和波方程的反问题的研究。我们从半线性方程中恢复了非线性项，从分数dirichlet到neumann类型地图的知识结合了runge近似和分数拉普拉斯式的唯一延续属性。
Our work concerns the study of inverse problems of heat and wave equations involving the fractional Laplacian operator with zeroth order nonlinear perturbations. We recover nonlinear terms in the semilinear equations from the knowledge of the fractional Dirichlet-to-Neumann type map combined with the Runge approximation and the unique continuation property of the fractional Laplacian.
