Moderately close Neumann inclusions for the Poisson equation

作者：Dalla Riva Matteo; Musolino Paolo^*

来源：Mathematical Methods in the Applied Sciences, 2018, 41(3): 986-993.

DOI：10.1002/mma.4028

• mixed problem
• singularly perturbed perforated domain
• moderately close holes
• Poisson equation
• real analytic continuation in Banach space

We investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ?(1) and ?(2) are two positive parameters, we define a perforated domain (?(1),?(2)) by making two small perforations in an open set: the size of the perforations is ?(1)?(2), while the distance of the cavities is proportional to ?(1). Then, if r is small enough, we analyze the behavior of the solution for (?(1),?(2)) close to the degenerate pair (0,r).

• 出版日期2018-2