On the embedding constant of the Sobolev type inequality for fractional derivatives-Reference-Cited by-同舟云学术

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On the embedding constant of the Sobolev type inequality for fractional derivatives

Published:2016 Issue:3 Volume:7 Page:386-394
ISSN:2185-4106
Container-title:Nonlinear Theory and Its Applications, IEICE
language:en
Short-container-title:NOLTA

Author:

Mizuguchi Makoto¹,Takayasu Akitoshi²,Kubo Takayuki³,Oishi Shin'ichi⁴⁵

Affiliation:

1. Graduate School of Fundamental Science and Engineering, Waseda University

2. Research Institute for Science and Engineering, Waseda University

3. Institute of Mathematics, University of Tsukuba

4. Department of Applied Mathematics, Faculty of Science and Engineering, Waseda University

5. CREST, JST

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Rehabilitation,Physical Therapy, Sports Therapy and Rehabilitation,General Medicine

Link

https://www.jstage.jst.go.jp/article/nolta/7/3/7_386/_pdf

Reference20 articles.

1. [1] R. Dautray, J. Lions, M. Artola, and M. Cessenat, Mathematical Analysis and Numerical Methods for Science and Technology: Spectral Theory and Applications, Springer-Verlag, New York, 2000.

2. [2] J.L. Lions and E. Magenes, Non-homogeneous boundary value problems and applications, Springer Berlin Heidelberg, 1972.

3. [3] R.A. Adams, Sobolev spaces, Second ed., Academic Press, New York, 1975.

4. [4] A. Pazy, Semigroup of linear operators and applications to partial differential equations, Springer, 1983.

5. [5] A. Cotsiolis and N.K. Tavoularis, “Best constants for Sobolev inequalities for higher order fractional derivatives,” J. Math. Anal. Appl., vol. 295, pp. 225-236, July 2004.

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