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The Resource Advances in phase space analysis of partial differential equations : in honor of Ferruccio Colombini's 60th birthday, Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy, editors

Advances in phase space analysis of partial differential equations : in honor of Ferruccio Colombini's 60th birthday, Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy, editors

Contributor
Summary
This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. Key topics include: * Operators as "sums of squares" of real and complex vector fields: both analytic hypoellipticity and regularity for very low regularity coefficients; * Nonlinear evolution equations: Navier-Stokes system, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals; * Local solvability: its connection with subellipticity, local solvability for systems of vector fields in Gevrey classes; * Hyperbolic equations: the Cauchy problem and multiple characteristics, both positive and negative results. Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource. List of contributors: L. Ambrosio N. Lerner H. Bahouri X. Lu S. Berhanu J. Metcalfe J.-M. Bony T. Nishitani N. Dencker V. Petkov S. Ervedoza J. Rauch I. Gallagher M. Reissig J. Hounie L. Stoyanov E. Jannelli D.S. Tartakoff K. Kajitani D. Tataru A. Kurganov F. Treves G. Zampieri E. Zuazua
Language
eng
Work
Publication
Extent
1 online resource (xiv, 301 pages)
Contents
  • Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups
  • The Heat Kernel and Frequency Localized Functions on the Heisenberg Group
  • A Generalization of the Rudin#x2013;Carleson Theorem
  • Evolution Equations and Generalized Fourier Integral Operators
  • The Solvability and Subellipticity of Systems of Pseudodifferential Operators
  • Uniform Exponential Decay for Viscous Damped Systems#x002A;
  • The Hyperbolic Symmetrizer: Theory and Applications
  • Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations
  • The Order of Accuracy of Quadrature Formulae for Periodic Functions
  • A Note on the Oseen Kernels
  • Instability Behavior and Loss of Regularity
  • Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains
  • On Gevrey Well-Posedness of the Cauchy Problem for Some Noneffectively Hyperbolic Operators
  • Singularities of the Scattering Kernel Related to Trapping Rays
  • Analytic Hypoellipticity for a Sum of Squares of Vector Fields in #x211D; Whose Poisson Stratification Consists of a Single Symplectic Stratum of Codimension Four
  • Multidimensional Soliton Integrodifferential Systems
  • Selected lectures in Microlocal Analysis
Isbn
9780817648619
Instance
Label
Advances in phase space analysis of partial differential equations : in honor of Ferruccio Colombini's 60th birthday
Title
Advances in phase space analysis of partial differential equations
Title remainder
in honor of Ferruccio Colombini's 60th birthday
Statement of responsibility
Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy, editors
Contributor
Subject
Language
eng
Summary
This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. Key topics include: * Operators as "sums of squares" of real and complex vector fields: both analytic hypoellipticity and regularity for very low regularity coefficients; * Nonlinear evolution equations: Navier-Stokes system, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals; * Local solvability: its connection with subellipticity, local solvability for systems of vector fields in Gevrey classes; * Hyperbolic equations: the Cauchy problem and multiple characteristics, both positive and negative results. Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource. List of contributors: L. Ambrosio N. Lerner H. Bahouri X. Lu S. Berhanu J. Metcalfe J.-M. Bony T. Nishitani N. Dencker V. Petkov S. Ervedoza J. Rauch I. Gallagher M. Reissig J. Hounie L. Stoyanov E. Jannelli D.S. Tartakoff K. Kajitani D. Tataru A. Kurganov F. Treves G. Zampieri E. Zuazua
Member of
Cataloging source
GW5XE
Dewey number
515.35
Illustrations
illustrations
Index
no index present
Language note
English
LC call number
QA377
LC item number
.A38 2009
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Colombini, F.
  • Bove, Antonio
  • Del Santo, Daniele
  • Murthy, M. K. V.
Series statement
Progress in nonlinear differential equations and their applications
Series volume
v. 78
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Microlocal analysis
  • MATHEMATICS
  • Differential equations, Partial
  • Microlocal analysis
  • Differential equations, Partial
  • Microlocal analysis
Label
Advances in phase space analysis of partial differential equations : in honor of Ferruccio Colombini's 60th birthday, Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy, editors
Instantiates
Publication
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups -- The Heat Kernel and Frequency Localized Functions on the Heisenberg Group -- A Generalization of the Rudin#x2013;Carleson Theorem -- Evolution Equations and Generalized Fourier Integral Operators -- The Solvability and Subellipticity of Systems of Pseudodifferential Operators -- Uniform Exponential Decay for Viscous Damped Systems#x002A; -- The Hyperbolic Symmetrizer: Theory and Applications -- Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations -- The Order of Accuracy of Quadrature Formulae for Periodic Functions -- A Note on the Oseen Kernels -- Instability Behavior and Loss of Regularity -- Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains -- On Gevrey Well-Posedness of the Cauchy Problem for Some Noneffectively Hyperbolic Operators -- Singularities of the Scattering Kernel Related to Trapping Rays -- Analytic Hypoellipticity for a Sum of Squares of Vector Fields in #x211D; Whose Poisson Stratification Consists of a Single Symplectic Stratum of Codimension Four -- Multidimensional Soliton Integrodifferential Systems -- Selected lectures in Microlocal Analysis
Control code
489216198
Dimensions
unknown
Extent
1 online resource (xiv, 301 pages)
Form of item
online
Isbn
9780817648619
Lccn
2009934006
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-4861-9
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4860-2
Specific material designation
remote
System control number
(OCoLC)489216198
Label
Advances in phase space analysis of partial differential equations : in honor of Ferruccio Colombini's 60th birthday, Antonio Bove, Daniele Del Santo, M.K. Venkatesha Murthy, editors
Publication
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups -- The Heat Kernel and Frequency Localized Functions on the Heisenberg Group -- A Generalization of the Rudin#x2013;Carleson Theorem -- Evolution Equations and Generalized Fourier Integral Operators -- The Solvability and Subellipticity of Systems of Pseudodifferential Operators -- Uniform Exponential Decay for Viscous Damped Systems#x002A; -- The Hyperbolic Symmetrizer: Theory and Applications -- Time Global Solutions to the Cauchy Problem for Multidimensional Kirchhoff Equations -- The Order of Accuracy of Quadrature Formulae for Periodic Functions -- A Note on the Oseen Kernels -- Instability Behavior and Loss of Regularity -- Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains -- On Gevrey Well-Posedness of the Cauchy Problem for Some Noneffectively Hyperbolic Operators -- Singularities of the Scattering Kernel Related to Trapping Rays -- Analytic Hypoellipticity for a Sum of Squares of Vector Fields in #x211D; Whose Poisson Stratification Consists of a Single Symplectic Stratum of Codimension Four -- Multidimensional Soliton Integrodifferential Systems -- Selected lectures in Microlocal Analysis
Control code
489216198
Dimensions
unknown
Extent
1 online resource (xiv, 301 pages)
Form of item
online
Isbn
9780817648619
Lccn
2009934006
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-4861-9
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-8176-4860-2
Specific material designation
remote
System control number
(OCoLC)489216198

Subject

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