Beyond Sobolev and Besov

Beyond Sobolev and Besov
Author :
Publisher : Springer Nature
Total Pages : 339
Release :
ISBN-10 : 9783030751395
ISBN-13 : 3030751392
Rating : 4/5 (95 Downloads)

Book Synopsis Beyond Sobolev and Besov by : Cornelia Schneider

Download or read book Beyond Sobolev and Besov written by Cornelia Schneider and published by Springer Nature. This book was released on 2021-05-31 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists of three parts. Part I, the introduction, provides a quick guide to function spaces and the general concepts needed. Part II is the heart of the monograph and deals with the regularity of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type on non smooth domains. Linear as well as nonlinear equations are considered and special attention is paid to PDEs of parabolic type. For the classes of PDEs investigated a justification is given for the use of adaptive numerical schemes. Finally, the last part has a slightly different focus and is concerned with traces in several function spaces such as Besov– and Triebel–Lizorkin spaces, but also in quite general smoothness Morrey spaces. The book is aimed at researchers and graduate students working in regularity theory of PDEs and function spaces, who are looking for a comprehensive treatment of the above listed topics.


Beyond Sobolev and Besov Related Books

Beyond Sobolev and Besov
Language: en
Pages: 339
Authors: Cornelia Schneider
Categories: Mathematics
Type: BOOK - Published: 2021-05-31 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in t
A First Course in Sobolev Spaces
Language: en
Pages: 759
Authors: Giovanni Leoni
Categories: Mathematics
Type: BOOK - Published: 2024-04-17 - Publisher: American Mathematical Society

DOWNLOAD EBOOK

This book is about differentiation of functions. It is divided into two parts, which can be used as different textbooks, one for an advanced undergraduate cours
A First Course in Sobolev Spaces
Language: en
Pages: 626
Authors: Giovanni Leoni
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking
Functional Analysis, Sobolev Spaces and Partial Differential Equations
Language: en
Pages: 600
Authors: Haim Brezis
Categories: Mathematics
Type: BOOK - Published: 2010-11-02 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of
Framelets and Wavelets
Language: en
Pages: 750
Authors: Bin Han
Categories: Mathematics
Type: BOOK - Published: 2018-01-04 - Publisher: Springer

DOWNLOAD EBOOK

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic intr