| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4637758 | Journal of Computational and Applied Mathematics | 2017 | 8 Pages |
Abstract
In this paper, we propose a verified numerical method for obtaining a sharp inclusion of the best constant for the embedding H01(Ω)↪Lp(Ω) on a bounded convex domain in R2R2. We estimate the best constant by computing the corresponding extremal function using a verified numerical computation. Verified numerical inclusions of the best constant on a square domain are presented.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kazuaki Tanaka, Kouta Sekine, Makoto Mizuguchi, Shin’ichi Oishi,