Partial differential equations in Sobolev and analytic spaces / (Record no. 49781)

MARC details
000 -LEADER
fixed length control field 02935nam a2200421 a 4500
003 - CONTROL NUMBER IDENTIFIER
control field WSP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20260416153415.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250212s2025 si ob 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789811298516
-- (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9811298513
-- (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9789811298509
-- (hbk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9811298505
-- (hbk.)
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 007020
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 037000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 003000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Boukarou, Aissa.
245 10 - TITLE STATEMENT
Title Partial differential equations in Sobolev and analytic spaces /
Statement of responsibility, etc Aissa Boukarou, Khaled Zennir, Svetlin G Georgiev.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Singapore :
Name of publisher, distributor, etc World Scientific Publishing,
Date of publication, distribution, etc ©2025.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (632 p.)
505 0# - FORMATTED CONTENTS NOTE
Contents Preliminaries -- Lebesgue integration -- The Lp spaces -- Distributions: the Fourier transform -- Sobolev spaces: analytic spaces -- Original method for the KdV equation in Hs(R) -- Fifth-order shallow water equation -- Higher-order nonlinear dispersive equation -- Kadomtsev-Petviashvili in analytic spaces -- Generalized Kadomtsev-Petviashvili I equation -- Coupled system of KdV equations in Gevrey spaces -- System of generalized KdV equations.
520 ## - SUMMARY, ETC.
Summary, etc "Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, fluid dynamics, elasticity, general relativity, and quantum mechanics. They also arise in areas like differential geometry and the calculus of variations. This book focuses on recent investigations of PDEs in Sobolev and analytic spaces. It consists of twelve chapters, starting with foundational definitions and results on linear, metric, normed, and Banach spaces, which are essential for introducing weak solutions to PDEs. Subsequent chapters cover topics such as Lebesgue integration, Lp spaces, distributions, Fourier transforms, Sobolev and Bourgain spaces, and various types of KdV equations. Advanced topics include higher order dispersive equations, local and global well-posedness, and specific classes of Kadomtsev-Petviashvili equations. This book is intended for specialists like mathematicians, physicists, engineers, and biologists. It can serve as a graduate-level textbook and a reference for multiple disciplines"--
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations, Partial.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Sobolev spaces.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Analytic spaces.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://www.worldscientific.com/worldscibooks/10.1142/13994#t=toc">https://www.worldscientific.com/worldscibooks/10.1142/13994#t=toc</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Electronic Books
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
-- Publisher's website.
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web.
538 ## - SYSTEM DETAILS NOTE
System details note System requirements: Adobe Acrobat reader.
655 #0 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Location Date of Cataloging Total Checkouts Full call number Barcode Date last seen Uniform Resource Identifier Price effective from Koha item type
    Dewey Decimal Classification     CUTN Central Library CUTN Central Library 16/04/2026   515.353 EB04983 16/04/2026 https://doi.org/10.1142/13994 16/04/2026 Electronic Books