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Elliptic Regularity Theory: A First Course: 19 (Lecture Notes of the Unione Matematica Italiana) - Tapa blanda
Sinopsis
These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur.
The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.
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These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur.
The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics."Sobre este título" puede pertenecer a otra edición de este libro.
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Elliptic Regularity Theory : A First Course
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Elliptic Regularity Theory: A First Course (Lecture Notes of the Unione Matematica Italiana, 19)
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Elliptic Regularity Theory : A First Course
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Elliptic Regularity Theory
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Springer International Publishing, Springer International Publishing Apr 2016, 2016
ISBN 10: 3319274848
ISBN 13: 9783319274843
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur. The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics. 216 pp. Englisch. Nº de ref. del artículo: 9783319274843
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Elliptic Regularity Theory : A First Course
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Elliptic Regularity Theory: A First Course (Lecture Notes of the Unione Matematica Italiana, 19)
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ISBN 10: 3319274848
ISBN 13: 9783319274843
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Elliptic Regularity Theory: A First Course (Lecture Notes of the Unione Matematica Italiana, 19)
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Elliptic Regularity Theory (Paperback)
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ISBN 10: 3319274848
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Paperback. Condición: new. Paperback. These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur. The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics. These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9783319274843
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Elliptic Regularity Theory: A First Course
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Springer International Publishing AG, 2016
ISBN 10: 3319274848
ISBN 13: 9783319274843
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Condición: New. Series: Lecture Notes of the Unione Matematica Italiana. Num Pages: 213 pages, biography. BIC Classification: PBKB; PBKJ; PBKQ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 12. Weight in Grams: 338. . 2016. 1st ed. 2016. Paperback. . . . . Nº de ref. del artículo: V9783319274843
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