Basic properties of Sobolev's spaces on time scales
<p>We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue <mml:math> <mml:mi>Δ</mml:mi> </mml:math>-measure; analogous properties to that valid for Sobolev's spaces...
| Format: | Article |
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| Language: | English |
| Published: |
SpringerOpen
2006-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.hindawi.com/GetArticle.aspx?doi=10.1155/ADE/2006/38121 |
| Summary: | <p>We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue <mml:math> <mml:mi>Δ</mml:mi> </mml:math>-measure; analogous properties to that valid for Sobolev's spaces of functions defined on an arbitrary open interval of the real numbers are derived.</p> |
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| ISSN: | 1687-1839 |