A Note on Sobolev Spaces
Abstract In the theory of averaging and other branches of mathematical physics, a crucial role is played by Sobolev spaces connected with a Borel measure defined in the Euclidean space $ ℝ^{d} $. These spaces are defined as closures of the sets of smooth functions in an appropriate norm. In this pap...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhikov, V. V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2005 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, Inc. 2005 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical sciences - Kluwer Academic Publishers-Consultants Bureau, 1994, 129(2005), 1 vom: Aug., Seite 3593-3595 |
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| Übergeordnetes Werk: |
volume:129 ; year:2005 ; number:1 ; month:08 ; pages:3593-3595 |
| Links: |
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| DOI / URN: |
10.1007/s10958-005-0296-7 |
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| 520 | |a Abstract In the theory of averaging and other branches of mathematical physics, a crucial role is played by Sobolev spaces connected with a Borel measure defined in the Euclidean space $ ℝ^{d} $. These spaces are defined as closures of the sets of smooth functions in an appropriate norm. In this paper, we propose another (dual) definition of Sobolev spaces and give an example of using this definition. | ||
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Abstract In the theory of averaging and other branches of mathematical physics, a crucial role is played by Sobolev spaces connected with a Borel measure defined in the Euclidean space $ ℝ^{d} $. These spaces are defined as closures of the sets of smooth functions in an appropriate norm. In this paper, we propose another (dual) definition of Sobolev spaces and give an example of using this definition. © Springer Science+Business Media, Inc. 2005 |
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Abstract In the theory of averaging and other branches of mathematical physics, a crucial role is played by Sobolev spaces connected with a Borel measure defined in the Euclidean space $ ℝ^{d} $. These spaces are defined as closures of the sets of smooth functions in an appropriate norm. In this paper, we propose another (dual) definition of Sobolev spaces and give an example of using this definition. © Springer Science+Business Media, Inc. 2005 |
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V.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A Note on Sobolev Spaces</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2005</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, Inc. 2005</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In the theory of averaging and other branches of mathematical physics, a crucial role is played by Sobolev spaces connected with a Borel measure defined in the Euclidean space $ ℝ^{d} $. These spaces are defined as closures of the sets of smooth functions in an appropriate norm. In this paper, we propose another (dual) definition of Sobolev spaces and give an example of using this definition.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Crucial Role</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical Physic</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Smooth Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Euclidean Space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sobolev Space</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of mathematical sciences</subfield><subfield code="d">Kluwer Academic Publishers-Consultants Bureau, 1994</subfield><subfield code="g">129(2005), 1 vom: Aug., Seite 3593-3595</subfield><subfield code="w">(DE-627)18219762X</subfield><subfield code="w">(DE-600)1185490-X</subfield><subfield code="w">(DE-576)038888130</subfield><subfield code="x">1072-3374</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:129</subfield><subfield code="g">year:2005</subfield><subfield code="g">number:1</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:3593-3595</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10958-005-0296-7</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.00</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">129</subfield><subfield code="j">2005</subfield><subfield code="e">1</subfield><subfield code="c">08</subfield><subfield code="h">3593-3595</subfield></datafield></record></collection>
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