The Resource Introduction to nonlinear dispersive equations, Felipe Linares, Gustavo Ponce
Introduction to nonlinear dispersive equations, Felipe Linares, Gustavo Ponce
Resource Information
The item Introduction to nonlinear dispersive equations, Felipe Linares, Gustavo Ponce 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 Introduction to nonlinear dispersive equations, Felipe Linares, Gustavo Ponce 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
- The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the linear Schrodinger equation to describe properties enjoyed by general dispersive equations. This information is then used to treat local and global well-posedness for the semi-linear Schrodinger equations. The end of each chapter contains recent developments and open problems, as well as exercises
- Language
- eng
- Extent
- 1 online resource (xi, 256 pages).
- Contents
-
- 1. The Fourier transform
- 2. Interpolation of operators: a multiplier theorem
- 3. Sobolev spaces and pseudo-differential operators
- 4. The linear Schrodinger equation
- 5. The nonlinear Schrodinger equation: local theory
- 6. Asymptotic behavior for NLS equation
- 7. Korteweg-de Vries equation
- 8. Asymptotic behavior for k-gKdV equations
- 9. Other nonlinear dispersive models
- 10. General quasilinear Schrodinger equation
- Isbn
- 9780387848990
- Label
- Introduction to nonlinear dispersive equations
- Title
- Introduction to nonlinear dispersive equations
- Statement of responsibility
- Felipe Linares, Gustavo Ponce
- Subject
-
- Differential equations, Partial
- Differential equations, Partial
- Differential equations, Partial
- Nichtlineare partielle Differentialgleichung
- Nonlinear wave equations
- Nonlinear wave equations
- Nonlinear wave equations
- Nonlinear wave equations
- SCIENCE -- Waves & Wave Mechanics
- Wellengleichung
- Differential equations, Partial
- Language
- eng
- Summary
- The aim of this textbook is to introduce the theory of nonlinear dispersive equations to graduate students in a constructive way. The first three chapters are dedicated to preliminary material, such as Fourier transform, interpolation theory and Sobolev spaces. The authors then proceed to use the linear Schrodinger equation to describe properties enjoyed by general dispersive equations. This information is then used to treat local and global well-posedness for the semi-linear Schrodinger equations. The end of each chapter contains recent developments and open problems, as well as exercises
- Cataloging source
- GW5XE
- http://library.link/vocab/creatorName
- Linares, Felipe
- Dewey number
- 530.124
- Index
- index present
- Language note
- English
- LC call number
- QA927
- LC item number
- .L55 2009
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/relatedWorkOrContributorName
- Ponce, Gustavo
- Series statement
- Universitext
- http://library.link/vocab/subjectName
-
- Nonlinear wave equations
- Differential equations, Partial
- SCIENCE
- Differential equations, Partial
- Nonlinear wave equations
- Differential equations, Partial
- Nonlinear wave equations
- Nichtlineare partielle Differentialgleichung
- Wellengleichung
- Label
- Introduction to nonlinear dispersive equations, Felipe Linares, Gustavo Ponce
- Bibliography note
- Includes bibliographical references (pages 239-253) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 1. The Fourier transform -- 2. Interpolation of operators: a multiplier theorem -- 3. Sobolev spaces and pseudo-differential operators -- 4. The linear Schrodinger equation -- 5. The nonlinear Schrodinger equation: local theory -- 6. Asymptotic behavior for NLS equation -- 7. Korteweg-de Vries equation -- 8. Asymptotic behavior for k-gKdV equations -- 9. Other nonlinear dispersive models -- 10. General quasilinear Schrodinger equation
- Control code
- 318545287
- Dimensions
- unknown
- Extent
- 1 online resource (xi, 256 pages).
- Form of item
- online
- Isbn
- 9780387848990
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-0-387-84899-0
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-0-387-84898-3
- Publisher number
- 12246229
- Specific material designation
- remote
- System control number
- (OCoLC)318545287
- Label
- Introduction to nonlinear dispersive equations, Felipe Linares, Gustavo Ponce
- Bibliography note
- Includes bibliographical references (pages 239-253) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- 1. The Fourier transform -- 2. Interpolation of operators: a multiplier theorem -- 3. Sobolev spaces and pseudo-differential operators -- 4. The linear Schrodinger equation -- 5. The nonlinear Schrodinger equation: local theory -- 6. Asymptotic behavior for NLS equation -- 7. Korteweg-de Vries equation -- 8. Asymptotic behavior for k-gKdV equations -- 9. Other nonlinear dispersive models -- 10. General quasilinear Schrodinger equation
- Control code
- 318545287
- Dimensions
- unknown
- Extent
- 1 online resource (xi, 256 pages).
- Form of item
- online
- Isbn
- 9780387848990
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-0-387-84899-0
- http://library.link/vocab/ext/overdrive/overdriveId
- 978-0-387-84898-3
- Publisher number
- 12246229
- Specific material designation
- remote
- System control number
- (OCoLC)318545287
Subject
- Differential equations, Partial
- Differential equations, Partial
- Differential equations, Partial
- Nichtlineare partielle Differentialgleichung
- Nonlinear wave equations
- Nonlinear wave equations
- Nonlinear wave equations
- Nonlinear wave equations
- SCIENCE -- Waves & Wave Mechanics
- Wellengleichung
- Differential equations, Partial
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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/Introduction-to-nonlinear-dispersive-equations/O6cWTm6e8yw/" 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/Introduction-to-nonlinear-dispersive-equations/O6cWTm6e8yw/">Introduction to nonlinear dispersive equations, Felipe Linares, Gustavo Ponce</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>
