Transport Equations and Multi-D Hyperbolic Conservation Laws (Record no. 38585)

MARC details
000 -LEADER
fixed length control field 03421n a2200457#a 4500
001 - CONTROL NUMBER
control field 5000213
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221213140640.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2008 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540767817
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-540-76781-7
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number 978-3-540-76781-7
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKJ
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT007000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
090 ## - IMPA CODE FOR CLASSIFICATION SHELVES
IMPA CODE FOR CLASSIFICATION SHELVES Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos)
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Ambrosio, Luigi
9 (RLIN) 12695
245 10 - TITLE STATEMENT
Title Transport Equations and Multi-D Hyperbolic Conservation Laws
Medium [electronic resource]/
Statement of responsibility, etc. by Luigi Ambrosio, Gianluca Crippa, Camillo Lellis, Felix Otto, Michael Westdickenberg.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Berlin, Heidelberg:
Name of publisher, distributor, etc. Springer Berlin Heidelberg,
Date of publication, distribution, etc. 2008.
300 ## - PHYSICAL DESCRIPTION
Other physical details digital.
490 0# - SERIES STATEMENT
Series statement Lecture Notes of the Unione Matematica Italiana,
International Standard Serial Number 1862-9113;
Volume/sequential designation 5
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Part I by L. Ambrosio and G. Crippa: Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields -- Part II by C. De Lellis: A note on Alberti's rank-one theorem -- Part III by G. Crippa, F. Otto and M. Westdickenberg: Regularizing effect of nonlinearity in multidimensional scalar conservation laws -- Index .
520 ## - SUMMARY, ETC.
Summary, etc. The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This volume provides an up-to-date overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. Geometric and measure theoretic tools play a key role to obtain some fundamental advances: the well-posedness theory of linear transport equations with irregular coefficients, and the study of the BV-like structure of  bounded entropy solutions to multi-dimensional scalar conservation laws. The volume contains surveys of recent deep results, provides an overview of further developments and related open problems, and will capture the interest of members both of the hyperbolic and the elliptic community willing to explore the intriguing interplays that link their worlds. Readers should have basic knowledge of PDE and measure theory .
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics.
9 (RLIN) 43458
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential equations.
9 (RLIN) 43477
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential equations, Partial.
9 (RLIN) 43542
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematical optimization.
9 (RLIN) 37398
697 ## - LOCAL SUBJECT
Local Subject Matemáticas Gerais-
Description subdivision (inclusive alguns textos elementares sobre assuntos específicos)
Linkage 23752
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Crippa, Gianluca
9 (RLIN) 9081
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Lellis, Camillo
9 (RLIN) 9082
700 0# - ADDED ENTRY--PERSONAL NAME
Personal name Otto, Felix.
9 (RLIN) 9052
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Westdickenberg, Michael
9 (RLIN) 9083
710 1# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service).
9 (RLIN) 8857
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783540767800
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture notes of the Unione Matematica Italiana,
Volume/sequential designation 5
9 (RLIN) 3067
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-3-540-76781-7">http://dx.doi.org/10.1007/978-3-540-76781-7</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Instituto de Matemática Pura e Aplicada
Koha item type E-Book

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