Elliptic Regularity Theory: A First Course: 19 (Lecture Notes of the Unione Matematica Italiana) - Tapa blanda

Libro 18 de 26: Lecture Notes of the Unione Matematica Italiana

Beck, Lisa

 
9783319274843: Elliptic Regularity Theory: A First Course: 19 (Lecture Notes of the Unione Matematica Italiana)
Tapa blanda
ISBN 10: 3319274848 ISBN 13: 9783319274843
Editorial: Springer, 2016

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

Editorial
Springer
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3319274848
ISBN 13 
9783319274843
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
216
Contacto del fabricante
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