@article{oai:tsukuba.repo.nii.ac.jp:00041110, author = {久保, 隆徹 and Mizuguchi, Makoto and Takayasu, Akitoshi and Kubo, Takayuki and Oishi, Shin'ichi}, issue = {3}, journal = {Nonlinear Theory and Its Applications, IEICE}, month = {Jul}, note = {This paper is concerned with the embedding constant of the Sobolev type inequality for fractional derivatives on $\Omega\subset\mathbb{R}^{N}~(N\in\mathbb{N})$. The constant is explicitly described using the analytic semigroup over L2(Ω) generated by the Laplace operator. Some numerical examples of estimating the embedding constant are also provided.}, pages = {386--394}, title = {On the embedding constant of the Sobolev type inequality for fractional derivatives}, volume = {7}, year = {2016} }