Basic properties of Sobolev's spaces on time scales

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2006_aide_argawal_basic.pdf (291.49 KB)
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URI: http://hdl.handle.net/10347/22866
ISSN: 1687-1847
DOI: 10.1155/ADE/2006/38121

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2006

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Abstract

We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δ-measure; analogous properties to that valid for Sobolev's spaces of functions defined on an arbitrary open interval of the real numbers are derived.

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Differential Equation| Real Number| Partial Differential Equation| Ordinary Differential Equation| Functional Analysis

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Agarwal, R.P., Otero–Espinar, V., Perera, K. et al. Basic properties of Sobolev's spaces on time scales. Adv Differ Equ 2006, 038121 (2006). https://doi.org/10.1155/ADE/2006/38121

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This research is partially supported by D.G.I. and F.E.D.E.R. project MTM 2004-06652- C03-01, and by Xunta of Galicia and F.E.D.E.R. project PGIDIT05PXIC20702PN, Spain

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Copyright © 2006 Ravi P. Agarwal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

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Estatística, Análise Matemática e Optimización