Elliptic Regularity Theory

A First Course

AvLisa Beck

Häftad, Engelska, 2016

Del 19 i serien Lecture Notes of the Unione Matematica Italiana

334 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

E-bok

718 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2016-04-18
Mått:155 x 235 x 17 mm
Vikt:352 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes of the Unione Matematica Italiana
Antal sidor:201
Upplaga:16001
Förlag:Springer International Publishing AG
ISBN:9783319274843

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

“The whole text is equipped with many useful and interesting remarks, which helps make the lecture notes very readable. The book seems to be a solid contribution to understanding the problems of the regularity theory.” (Eugen Viszus, Mathematical Reviews, March, 2017)

Innehållsförteckning

Preliminaries.- Introduction to the Setting.- The Scalar Case.- Foundations for the Vectorial Case.- Partial Regularity Results for Quasilinear Systems.

Mer från samma författare

Variationsrechnung

Lisa Beck, Bernd Schmidt

Häftad, 2025

215 kr

Variationsrechnung

Bernd Schmidt, Lisa Beck

E-bok

2025

205 kr

Mer från samma serie

Del 25

Quantum Physics and Geometry

Edoardo Ballico, Alessandra Bernardi, Iacopo Carusotto, Sonia Mazzucchi, Valter Moretti

Häftad, 2019

665 kr

Del 26

Birational Geometry of Hypersurfaces

Andreas Hochenegger, Manfred Lehn, Paolo Stellari

Häftad, 2019

995 kr

Del 27

Ideals of Powers and Powers of Ideals

Enrico Carlini, Huy Tài Hà, Brian Harbourne, Adam Van Tuyl

Häftad, 2020

830 kr

Del 28

Regularity of the One-phase Free Boundaries

Bozhidar Velichkov

Häftad, 2023

302 kr

Del 29

Introduction to Inverse Problems for Evolution Equations

Masahiro Yamamoto

Häftad, 2025

1 214 kr

Del 30

One-Dimensional Dynamics

Yiheng Dong, Marco Martens, Liviana Palmisano

Häftad, 2025

1 653 kr

Del 31

Varieties of Nodal Surfaces, Coding Theory and Discriminants of Cubic Hypersurfaces

Fabrizio Catanese

Häftad, 2026

1 211 kr

Classification of Hyperelliptic Groups in Dimension 4

Andreas Demleitner

Häftad, 2026

1 342 kr

Ricardo Castano-Bernard, Fabrizio Catanese, Maxim Kontsevich, Tony Pantev, Yan Soibelman, Ilia Zharkov - Homological Mirror Symmetry and Tropical Geometry, Häftad

Del 15

Homological Mirror Symmetry and Tropical Geometry

Ricardo Castano-Bernard, Fabrizio Catanese, Maxim Kontsevich, Tony Pantev, Yan Soibelman, Ilia Zharkov

Häftad, 2014

1 214 kr

Del 16

Elementary Symplectic Topology and Mechanics

Franco Cardin

Häftad, 2014

665 kr

Du kanske också är intresserad av

10% rabatt på allt

Adventskalender Ravensburger pussel 2026

Ravensburger

319 kr