Sobolev type inequalities of time-periodic boundary value problems for Heaviside and Thomson cables

Author:

Takemura Kazuo,Kametaka Yoshinori,Watanabe Kohtaro,Nagai Atsushi,Yamagishi Hiroyuki

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference6 articles.

1. Kamke E: Differentialgleichungen, Lösungsmethoden und Lösungen I. 3rd edition. Chelsea, New York; 1971.

2. Heaviside O: Electromagnetic Induction and Its Propagation - XLVII. The Electrician, London; 1887:189-191.

3. Nahin PJ: Oliver Heaviside, Sage in Solitude: The Life, Work, and Times of an Electrical Genius of the Victorian Age. IEEE Press, New York; 1988:230-232.

4. Kametaka Y, Nagai A, Watanabe K, Takemura K, Yamagishi H: Giambelli’s formula and the best constant of Sobolev inequality in one dimensional Euclidean space. Sci. Math. Jpn. 2010, 71(1):27-41. e-2009, 621-635

5. Kametaka Y, Takemura K, Yamagishi H, Nagai A, Watanabe K: Heaviside cable, Thomson cable and the best constant of a Sobolev-type inequality. Sci. Math. Jpn. 2008, 68(1):63-79. e-2007, 739-755

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