论文标题

解决方案的局部唯一性,用于单独扰动的非线性非自主传播问题

Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem

论文作者

Riva, Matteo Dalla, Molinarolo, Riccardo, Musolino, Paolo

论文摘要

我们考虑$ \ mathbb {r}^n $,$ n \ ge 3 $的域中的拉普拉斯方程,其中很小的大小$ε$。在包含的边界上,我们定义了非线性非自主传递条件。对于$ε$,足够小的人可以证明问题有解决方案。在本文中,我们研究了这种解决方案的局部唯一性。

We consider the Laplace equation in a domain of $\mathbb{R}^n$, $n\ge 3$, with a small inclusion of size $ε$. On the boundary of the inclusion we define a nonlinear nonautonomous transmission condition. For $ε$ small enough one can prove that the problem has solutions. In this paper, we study the local uniqueness of such solutions.

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