The Resource Singularities in linear wave propagation, Lars Gårding
Singularities in linear wave propagation, Lars Gårding
Resource Information
The item Singularities in linear wave propagation, Lars Gårding 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 Singularities in linear wave propagation, Lars Gårding 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
- 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
- Language
- eng
- Extent
- 1 online resource (123 pages)
- 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
- Isbn
- 9783540472162
- Label
- Singularities in linear wave propagation
- Title
- Singularities in linear wave propagation
- Statement of responsibility
- Lars Gårding
- Subject
-
- Differential equations, Hyperbolic
- Hyperbolischer Differentialoperator
- Partiële differentiaalvergelijkingen
- Singulariteiten
- Singularities (Mathematics)
- Singularities (Mathematics)
- Singularities [Mathematics]
- Singularität
- Singularités (Mathématiques)
- Théorie du mouvement ondulatoire
- Wave-motion, Theory of
- Wave-motion, Theory of
- Wellenausbreitung
- Équations différentielles hyperboliques
- Differential equations, Hyperbolic
- 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
- 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)
- 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
- Wave-motion, Theory of
- Label
- Singularities in linear wave propagation, Lars Gårding
- 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
- Lccn
- 87016397
- 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
- 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
- Lccn
- 87016397
- 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
Subject
- Differential equations, Hyperbolic
- Hyperbolischer Differentialoperator
- Partiële differentiaalvergelijkingen
- Singulariteiten
- Singularities (Mathematics)
- Singularities (Mathematics)
- Singularities [Mathematics]
- Singularität
- Singularités (Mathématiques)
- Théorie du mouvement ondulatoire
- Wave-motion, Theory of
- Wave-motion, Theory of
- Wellenausbreitung
- Équations différentielles hyperboliques
- Differential equations, Hyperbolic
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Singularities-in-linear-wave-propagation-Lars/3xFJgMhla7k/" 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/Singularities-in-linear-wave-propagation-Lars/3xFJgMhla7k/">Singularities in linear wave propagation, Lars Gårding</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>
