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
Resource Information
The item Fundamental solutions of linear partial differential operators : theory and practice, Norbert Ortner, Peter Wagner represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Fundamental solutions of linear partial differential operators : theory and practice, Norbert Ortner, Peter Wagner represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 xii, 398 pages
 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
 Isbn
 9783319201399
 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
 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
 Bibliography note
 Includes bibliographical references (pages 383394) 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
 Bibliography note
 Includes bibliographical references (pages 383394) 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Fundamentalsolutionsoflinearpartial/l9fECGBUSy0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Fundamentalsolutionsoflinearpartial/l9fECGBUSy0/">Fundamental solutions of linear partial differential operators : theory and practice, Norbert Ortner, Peter Wagner</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>