首页 / 资料库 / 文献详情

BOUNDARY BEHAVIOR OF DOUBLE LAYER POTENTIALS IN A DOMAIN WITH FRACTAL BOUNDARY

Hisako Watanabe

1999Institutional Repositories DataBase (IRDB)Engineering被引 1开放获取

摘要

For a bounded domain D with fractal boundary we consider a Besov space on ∂D, with respect to a measure corresponding to the fractal dimension of ∂D. We define double layer potentials of functions in the Besov space and discuss the existence of nontangential limits of the double layer potentials, with an exceptional set, and estimate the size of the exceptional set by using a Hausdorff measure depending on the order of the Besov space.

引用本文（GB/T 7714）