Harmonic analysis method for nonlinear evolution equations, I /:
This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein-Gordon equations, KdV equations as well as Navier-Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy problem for those...
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| Other Authors: | , , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore ; Hackensack, NJ :
World Scientific,
©2011.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein-Gordon equations, KdV equations as well as Navier-Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy problem for those equations is systematically studied by using the harmonic analysis methods. This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects and even ambitious undergraduate students. |
| Physical Description: | 1 online resource (xiv, 283 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 269-280) and index. |
| ISBN: | 9814360740 9789814360746 1283433990 9781283433990 |
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MARC
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| contents | 1. Fourier multiplier, function space X [superscript]s [subscript]p, q -- 2. Navier-Stokes equation -- 3. Strichartz estimates for linear dispersive equations -- 4. Local and global wellposedness for nonlinear dispersive equations -- 5. The low regularity theory for the nonlinear dispersive equations -- 6. Frequency-uniform decomposition techniques -- 7. Conservations, Morawetz' estimates of nonlinear Schrödinger equations -- 8. Boltzmann equation without angular cutoff. |
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| record_format | marc |
| spelling | Harmonic analysis method for nonlinear evolution equations, I / Baoxiang Wang, Zhaohui Huo, Chengchun Hao, Zihua Guo. Singapore ; Hackensack, NJ : World Scientific, ©2011. 1 online resource (xiv, 283 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 269-280) and index. 1. Fourier multiplier, function space X [superscript]s [subscript]p, q -- 2. Navier-Stokes equation -- 3. Strichartz estimates for linear dispersive equations -- 4. Local and global wellposedness for nonlinear dispersive equations -- 5. The low regularity theory for the nonlinear dispersive equations -- 6. Frequency-uniform decomposition techniques -- 7. Conservations, Morawetz' estimates of nonlinear Schrödinger equations -- 8. Boltzmann equation without angular cutoff. This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein-Gordon equations, KdV equations as well as Navier-Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy problem for those equations is systematically studied by using the harmonic analysis methods. This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects and even ambitious undergraduate students. Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse harmonique. Équations différentielles non linéaires. Analyse mathématique. MATHEMATICS Infinity. bisacsh Differential equations, Nonlinear fast Harmonic analysis fast Mathematical analysis fast Electronic books. Wang, Baoxiang. Huo, Zhaohui. Guo, Zihua. Hao, Chengchun. has work: Harmonic analysis method for nonlinear evolution equations, I (Text) https://id.oclc.org/worldcat/entity/E39PCYhRCG7PmMQqFwFc4hqwBX https://id.oclc.org/worldcat/ontology/hasWork Print version: 9789814360739 9814360732 |
| spellingShingle | Harmonic analysis method for nonlinear evolution equations, I / 1. Fourier multiplier, function space X [superscript]s [subscript]p, q -- 2. Navier-Stokes equation -- 3. Strichartz estimates for linear dispersive equations -- 4. Local and global wellposedness for nonlinear dispersive equations -- 5. The low regularity theory for the nonlinear dispersive equations -- 6. Frequency-uniform decomposition techniques -- 7. Conservations, Morawetz' estimates of nonlinear Schrödinger equations -- 8. Boltzmann equation without angular cutoff. Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse harmonique. Équations différentielles non linéaires. Analyse mathématique. MATHEMATICS Infinity. bisacsh Differential equations, Nonlinear fast Harmonic analysis fast Mathematical analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85058939 http://id.loc.gov/authorities/subjects/sh85037906 http://id.loc.gov/authorities/subjects/sh85082116 https://id.nlm.nih.gov/mesh/D005583 |
| title | Harmonic analysis method for nonlinear evolution equations, I / |
| title_auth | Harmonic analysis method for nonlinear evolution equations, I / |
| title_exact_search | Harmonic analysis method for nonlinear evolution equations, I / |
| title_full | Harmonic analysis method for nonlinear evolution equations, I / Baoxiang Wang, Zhaohui Huo, Chengchun Hao, Zihua Guo. |
| title_fullStr | Harmonic analysis method for nonlinear evolution equations, I / Baoxiang Wang, Zhaohui Huo, Chengchun Hao, Zihua Guo. |
| title_full_unstemmed | Harmonic analysis method for nonlinear evolution equations, I / Baoxiang Wang, Zhaohui Huo, Chengchun Hao, Zihua Guo. |
| title_short | Harmonic analysis method for nonlinear evolution equations, I / |
| title_sort | harmonic analysis method for nonlinear evolution equations i |
| topic | Harmonic analysis. http://id.loc.gov/authorities/subjects/sh85058939 Differential equations, Nonlinear. http://id.loc.gov/authorities/subjects/sh85037906 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Fourier Analysis https://id.nlm.nih.gov/mesh/D005583 Analyse harmonique. Équations différentielles non linéaires. Analyse mathématique. MATHEMATICS Infinity. bisacsh Differential equations, Nonlinear fast Harmonic analysis fast Mathematical analysis fast |
| topic_facet | Harmonic analysis. Differential equations, Nonlinear. Mathematical analysis. Fourier Analysis Analyse harmonique. Équations différentielles non linéaires. Analyse mathématique. MATHEMATICS Infinity. Differential equations, Nonlinear Harmonic analysis Mathematical analysis Electronic books. |
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