Coverart for item
The Resource Singularities in linear wave propagation, Lars Gårding

Singularities in linear wave propagation, Lars Gårding

Label
Singularities in linear wave propagation
Title
Singularities in linear wave propagation
Statement of responsibility
Lars Gårding
Creator
Subject
Language
eng
Summary
These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition
Member of
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1919-2014
http://library.link/vocab/creatorName
Gårding, Lars
Dewey number
  • 510 s
  • 515.3/53
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA377
LC item number
.L28 no. 1241
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1241
http://library.link/vocab/subjectName
  • Differential equations, Hyperbolic
  • Wave-motion, Theory of
  • Singularities (Mathematics)
  • Équations différentielles hyperboliques
  • Théorie du mouvement ondulatoire
  • Singularités (Mathématiques)
  • Differential equations, Hyperbolic
  • Singularities (Mathematics)
  • Wave-motion, Theory of
  • Singulariteiten
  • Partiële differentiaalvergelijkingen
  • Wellenausbreitung
  • Singularität
  • Hyperbolischer Differentialoperator
Label
Singularities in linear wave propagation, Lars Gårding
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Historical introduction -- Hyperbolic operators with constant coefficients -- Wave front sets and oscillatory integrals -- Pseudodifferential operators -- The Hamilton-Jacobi equation and sympletic geometry -- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator -- Changes of variables and duality for general oscillatory integrals -- Sharp and diffuse fronts of paired oscillatory integrals -- References -- Index
Control code
298578086
Dimensions
unknown
Extent
1 online resource (123 pages)
Form of item
online
Isbn
9783540472162
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298578086
Label
Singularities in linear wave propagation, Lars Gårding
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Historical introduction -- Hyperbolic operators with constant coefficients -- Wave front sets and oscillatory integrals -- Pseudodifferential operators -- The Hamilton-Jacobi equation and sympletic geometry -- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator -- Changes of variables and duality for general oscillatory integrals -- Sharp and diffuse fronts of paired oscillatory integrals -- References -- Index
Control code
298578086
Dimensions
unknown
Extent
1 online resource (123 pages)
Form of item
online
Isbn
9783540472162
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298578086

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