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The Resource Fundamental solutions of linear partial differential operators : theory and practice, Norbert Ortner, Peter Wagner

Fundamental solutions of linear partial differential operators : theory and practice, Norbert Ortner, Peter Wagner

Label
Fundamental solutions of linear partial differential operators : theory and practice
Title
Fundamental solutions of linear partial differential operators
Title remainder
theory and practice
Statement of responsibility
Norbert Ortner, Peter Wagner
Creator
Contributor
Author
Subject
Language
eng
Summary
This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. Particular attention is given to developing the fundamentals of distribution theory, accompanied by calculations of fundamental solutions. The main part of the book deals with existence theorems and uniqueness criteria, the method of parameter integration, the investigation of quasihyperbolic systems by means of Fourier and Laplace transforms, and the representation of fundamental solutions of homogeneous elliptic operators with the help of Abelian integrals. In addition to rigorous distributional derivations and verifications of fundamental solutions, the book also shows how to construct fundamental solutions (matrices) of many physically relevant operators (systems), in elasticity, thermoelasticity, hexagonal/cubic elastodynamics, for Maxwelllĺs system and others. The book mainly addresses researchers and lecturers who work with partial differential equations. However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis
Cataloging source
BTCTA
http://library.link/vocab/creatorDate
1945-
http://library.link/vocab/creatorName
Ortner, Norbert
Dewey number
515.4
Index
index present
LC call number
QA377
LC item number
.O78 2015
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Wagner, Peter
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Diffusion processes
  • Differential equations, Elliptic
  • Differential equations, Parabolic
  • Differential equations, Elliptic
  • Differential equations, Parabolic
  • Differential equations, Partial
  • Diffusion processes
Label
Fundamental solutions of linear partial differential operators : theory and practice, Norbert Ortner, Peter Wagner
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 383-394) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Introduction -- I. Distributions and fundamental solutions -- II. General principles for fundamental solutions -- III. Parameter integration -- IV. Quasihyperbolic systems -- V. Fundamental matrices of homogeneous systems -- Appendix: Table of operators/systems with references to fundamental solutions/matrices -- References -- Index
Control code
909327330
Dimensions
25 cm
Extent
xii, 398 pages
Isbn
9783319201399
Lccn
2015947499
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)909327330
Label
Fundamental solutions of linear partial differential operators : theory and practice, Norbert Ortner, Peter Wagner
Publication
Bibliography note
Includes bibliographical references (pages 383-394) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Introduction -- I. Distributions and fundamental solutions -- II. General principles for fundamental solutions -- III. Parameter integration -- IV. Quasihyperbolic systems -- V. Fundamental matrices of homogeneous systems -- Appendix: Table of operators/systems with references to fundamental solutions/matrices -- References -- Index
Control code
909327330
Dimensions
25 cm
Extent
xii, 398 pages
Isbn
9783319201399
Lccn
2015947499
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)909327330

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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