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The Resource Lectures on the energy critical nonlinear wave equation, Carlos E. Kenig

Lectures on the energy critical nonlinear wave equation, Carlos E. Kenig

Label
Lectures on the energy critical nonlinear wave equation
Title
Lectures on the energy critical nonlinear wave equation
Statement of responsibility
Carlos E. Kenig
Creator
Contributor
Author
Issuing body
Subject
Language
eng
Summary
This monograph deals with recent advances in the study of the long-time asymptotics of large solutions to critical nonlinear dispersive equations. The first part of the monograph describes, in the context of the energy critical wave equation, the "concentration-compactness/rigidity theorem method" introduced by C. Kenig and F. Merle. This approach has become the canonical method for the study of the "global regularity and well-posedness" conjecture (defocusing case) and the "ground-state" conjecture (focusing case) in critical dispersive problems. The second part of the monograph describes the "channel of energy" method, introduced by T. Duyckaerts, C. Kenig, and F. Merle, to study soliton resolution for nonlinear wave equations. This culminates in a presentation of the proof of the soliton resolution conjecture, for the three-dimensional radial focusing energy critical wave equation. It is the intent that the results described in this book will be a model for what to strive for in the study of other nonlinear dispersive equations. A co-publication of the AMS and CBMS. --Provided by publisher
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1953-
http://library.link/vocab/creatorName
Kenig, Carlos E.
Dewey number
515/.353
Illustrations
illustrations
Index
no index present
LC call number
QA329.42
LC item number
.K46 2015
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
2013
http://library.link/vocab/relatedWorkOrContributorName
  • Conference Board of the Mathematical Sciences
  • National Science Foundation (U.S.)
  • NSF/CBMS Regional Conference in Mathematical Sciences on the Energy Critical Nonlinear Wave Equation
Series statement
CBMS regional conference series in mathematics
Series volume
number 122
http://library.link/vocab/subjectName
  • Nonlinear partial differential operators
  • Nonlinear wave equations
  • Wave-motion, Theory of
  • Nonlinear partial differential operators
  • Wave-motion, Theory of
  • Partial differential equations -- Hyperbolic equations and systems -- Semilinear second-order hyperbolic equations
  • Partial differential equations -- Equations of mathematical physics and other areas of application -- None of the above, but in this section
  • Nonlinear partial differential operators
  • Wave-motion, Theory of
Label
Lectures on the energy critical nonlinear wave equation, Carlos E. Kenig
Instantiates
Publication
Copyright
Note
"NSF/CBMS Regional Conference in Mathematical Sciences on the Energy Critical Nonlinear Wave Equation held at Kansas State University in June 2013"--Title page verso
Bibliography note
Includes bibliographical references (pages 157-161)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
The Local Theory of the Cauchy Problem -- The "Road Map": The Concentration Compactness/Rigidity Theorem Method for Critical Problems I -- The "Road Map": The Concentration Compactness/Rigidity Theorem Method for Critical Problems II -- Properties of Compact Solutions and Some More Rigidity Theorems, with Applications to an Extension of Theorem 2.6 -- Proof of the Rigidity Theorems -- Type II Blow-Up Solutions -- Channels of Energy and Outer Energy Lower Bounds -- Universal Type II Blow-up Profiles -- Soliton Resolution for Radial Solutions to (NLW), I -- Universal Type II Blow-up Profiles -- Soliton Resolution for Radial Solutions to (NLW), II -- Universal Type II Blow-up Profiles -- Soliton Resolution for Radial Solutions to (NLW), III
Control code
899952223
Dimensions
26 cm
Extent
xiii, 161 pages
Isbn
9781470420147
Lccn
2015000062
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)899952223
Label
Lectures on the energy critical nonlinear wave equation, Carlos E. Kenig
Publication
Copyright
Note
"NSF/CBMS Regional Conference in Mathematical Sciences on the Energy Critical Nonlinear Wave Equation held at Kansas State University in June 2013"--Title page verso
Bibliography note
Includes bibliographical references (pages 157-161)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier.
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
The Local Theory of the Cauchy Problem -- The "Road Map": The Concentration Compactness/Rigidity Theorem Method for Critical Problems I -- The "Road Map": The Concentration Compactness/Rigidity Theorem Method for Critical Problems II -- Properties of Compact Solutions and Some More Rigidity Theorems, with Applications to an Extension of Theorem 2.6 -- Proof of the Rigidity Theorems -- Type II Blow-Up Solutions -- Channels of Energy and Outer Energy Lower Bounds -- Universal Type II Blow-up Profiles -- Soliton Resolution for Radial Solutions to (NLW), I -- Universal Type II Blow-up Profiles -- Soliton Resolution for Radial Solutions to (NLW), II -- Universal Type II Blow-up Profiles -- Soliton Resolution for Radial Solutions to (NLW), III
Control code
899952223
Dimensions
26 cm
Extent
xiii, 161 pages
Isbn
9781470420147
Lccn
2015000062
Media category
unmediated
Media MARC source
rdamedia.
Media type code
  • n
System control number
(OCoLC)899952223

Library Locations

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