The Resource Geometrical Optics and Related Topics, edited by Ferrucio Colombini, Nicolas Lerner, (electronic resource)

Geometrical Optics and Related Topics, edited by Ferrucio Colombini, Nicolas Lerner, (electronic resource)

Label
Geometrical Optics and Related Topics
Title
Geometrical Optics and Related Topics
Statement of responsibility
edited by Ferrucio Colombini, Nicolas Lerner
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
This book contains fourteen research papers which are expanded versions of conferences given at a meeting held in September 1996 in Cortona, Italy. The topics include blowup questions for quasilinear equations in two dimensions, time decay of waves in LP, uniqueness results for systems of conservation laws in one dimension, concentration effects for critical nonlinear wave equations, diffraction of nonlinear waves, propagation of singularities in scattering theory, caustics for semi-linear oscillations. Other topics linked to microlocal analysis are Sobolev embedding theorems in Weyl-Hormander calculus, local solvability for pseudodifferential equations, hypoellipticity for highly degenerate operators. The book also contains a result on uniqueness for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for characteristic initial-boundary value problems. On each topic listed above, one will find new results as well as a description of the state of the art. Various methods related to nonlinear geometrical optics are a transversal theme of several articles. Pseudodifferential techniques are used to tackle classical PDE problems like Cauchy uniqueness. We are pleased to thank the speakers for their contributions to the meeting: Serge Alinhac, Mike Beals, Alberto Bressan, Jean-Yves Chemin, Christophe Cheverry, Daniele Del Santo, Nils Dencker, Patrick Gerard, Lars Hormander, John Hunter, Richard Melrose, Guy Metivier, Yoshinori Morimoto, and Tatsuo Nishitani. The meeting was made possible in part by the financial support of a European commission program, "Human capital and mobility CHRX-CT94-044"
Member of
Dewey number
519
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • owZvm28kiGI
  • 9EYybYHtIEQ
Image bit depth
0
Language note
English
LC call number
T57-57.97
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Colombini, Ferrucio.
  • Lerner, Nicolas.
Series statement
Progress in Nonlinear Differential Equations and Their Applications,
Series volume
32
http://library.link/vocab/subjectName
  • Mathematics
  • Applications of Mathematics
  • Optics, Lasers, Photonics, Optical Devices
Label
Geometrical Optics and Related Topics, edited by Ferrucio Colombini, Nicolas Lerner, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Blowup of small data solutions for a class of quasilinear wave equations in two dimensions: an outline of the proof -- Concentration effects in critical nonlinear wave equation and scattering theory -- Lower semicontinuity of weighted path length in BV -- Time decay of Lp norms for solutions of the wave equation on exterior domains -- Sobolev embeddings in Weyl-Hörmander calculus -- About the Cauchy problem for a system of conservation laws -- Global existence of the solutions and formation of singularities for a class of hyperbolic systems -- A class of solvable operators -- On the uniqueness of the Cauchy problem under partial analyticity assumptions -- Nonlinear wave diffraction -- Caustics for dissipative semilinear oscillations -- Geometric optics and the bottom of the spectrum -- Hypoellipticity for a class of infinitely degenerate elliptic operators -- Regularity of solutions to characteristic boundary value problem for symmetric systems
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (VII, 366 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461220145
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4612-2014-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089800
  • (DE-He213)978-1-4612-2014-5
  • (SSID)ssj0001296901
  • (PQKBManifestationID)11735205
  • (PQKBTitleCode)TC0001296901
  • (PQKBWorkID)11374781
  • (PQKB)11219440
  • (MiAaPQ)EBC3076048
  • (EXLCZ)993400000000089800
Label
Geometrical Optics and Related Topics, edited by Ferrucio Colombini, Nicolas Lerner, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Blowup of small data solutions for a class of quasilinear wave equations in two dimensions: an outline of the proof -- Concentration effects in critical nonlinear wave equation and scattering theory -- Lower semicontinuity of weighted path length in BV -- Time decay of Lp norms for solutions of the wave equation on exterior domains -- Sobolev embeddings in Weyl-Hörmander calculus -- About the Cauchy problem for a system of conservation laws -- Global existence of the solutions and formation of singularities for a class of hyperbolic systems -- A class of solvable operators -- On the uniqueness of the Cauchy problem under partial analyticity assumptions -- Nonlinear wave diffraction -- Caustics for dissipative semilinear oscillations -- Geometric optics and the bottom of the spectrum -- Hypoellipticity for a class of infinitely degenerate elliptic operators -- Regularity of solutions to characteristic boundary value problem for symmetric systems
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (VII, 366 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461220145
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4612-2014-5
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089800
  • (DE-He213)978-1-4612-2014-5
  • (SSID)ssj0001296901
  • (PQKBManifestationID)11735205
  • (PQKBTitleCode)TC0001296901
  • (PQKBWorkID)11374781
  • (PQKB)11219440
  • (MiAaPQ)EBC3076048
  • (EXLCZ)993400000000089800

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