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An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
Langbeschreibung
This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of Mathematicians in 1900 in Paris:
Inhaltsverzeichnis
1 Harmonic functions .- 2 Direct methods.- 3 Hilbert space methods.- 4 L2-regularity: the Caccioppoli inequality.- 5 Schauder estimates.- 6 Some real analysis.- 7 Lp-theory.- 8 The regularity problem in the scalar case.- 9 Partial regularity in the vector-valued case.- 10 Harmonic maps.- 11 A survey of minimal graphs.
Mariano Giaquinta is an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equation. He is currently professor of mathematics at the Scuola Normale Superiore di Pisa [1] [2] and he is the director of De Giorgi center at Pisa. Luca Martinazzi is professor of mathematics at the University of Basel, Switzerland.
ISBN-13:
9788876424434
Veröffentl:
2013
Seiten:
370
Autor:
Mariano Giaquinta
Serie:
Publications of the Scuola Normale Superiore Lecture Notes (Scuola Normale Superiore)
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
24,60 €*
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