Skip to search
Skip to main content
Catalog
Help
Feedback
Your Account
Library Account
Bookmarks
(
0
)
Search History
Search in
Keyword
Title (keyword)
Author (keyword)
Subject (keyword)
Title starts with
Subject (browse)
Author (browse)
Author (sorted by title)
Call number (browse)
search for
Search
Advanced Search
Bookmarks
(
0
)
Princeton University Library Catalog
Start over
Cite
Send
to
SMS
Email
EndNote
RefWorks
RIS
Printer
Bookmark
Beyond Sobolev and Besov : regularity of solutions of PDEs and their traces in function spaces / Cornelia Schneider.
Author
Schneider, Cornelia (Mathematician)
[Browse]
Format
Book
Language
English
Published/Created
Cham, Switzerland : Springer, [2021]
©2021
Description
xviii, 327 pages : illustrations (some color) ; 24 cm.
Availability
Available Online
Springer Nature - Springer Lecture Notes in Mathematics eBooks
Springer Nature - Springer Mathematics and Statistics eBooks 2021 English International
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA323 .S36 2021
Browse related items
Request
Details
Subject(s)
Sobolev spaces
[Browse]
Function spaces
[Browse]
Series
Lecture notes in mathematics (Springer-Verlag) ; 2291.
[More in this series]
Lecture notes in mathematics, 0075-8434 ; volume 2291
Summary note
"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 Triebelizorkin 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."
Bibliographic references
Includes bibliographical references (pages 315-323) and index.
Rights and reproductions note
Current copyright fee: GBP19.00 42\0.
Contents
Function Spaces and General Concepts
Besov and Fractional Sobolev Regularity of PDEs --Theory and Background Material for PDEs
Regularity Theory for Elliptic PDEs
Regularity Theory for Parabolic PDEs
Regularity Theory for Hyperbolic PDEs
Applications to Adaptive Approximation Schemes
Traces in Function Spaces
Traces on Lipschitz Domains
Traces of Generalized Smoothness Morrey Spaces on Domains
Traces on Riemannian Manifolds.
Show 7 more Contents items
Other title(s)
Regularity of solutions of PDEs and their traces in function spaces
ISBN
9783030751388 ((paperback))
3030751384 ((paperback))
OCLC
1259327286
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
Read more...
Other views
Staff view
Ask a Question
Suggest a Correction
Report Harmful Language
Supplementary Information
Other versions
Beyond Sobolev and Besov : regularity of solutions of PDEs and their traces in function spaces / Cornelia Schneider.
id
99125215929106421