Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) /

Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) / / ed. by Jean Bourgain, Sergiu Klainerman, Carlos E. Kenig.

This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
MitwirkendeR:
Baiti, P.,
Bourgain, J.,
Bressan, A.,
Brezis, H.,
Burq, N.,
Christ, M.,
Constantin, P.,
Delort, J.-M.,
Giga, Y.,
Gérard, P.,
Ionescu, A. D.,
Jenssen, H. K.,
Kenig, C. E.,
Mahalov, A.,
Marcus, M.,
Nicolaenko, B.,
Ponce, A. C.,
Rodnianski, I.,
Szeftel, J.,
Tao, T.,
Tzvetkov, N.,
Wang, W.-M.,
HerausgeberIn:
Bourgain, Jean,
Kenig, Carlos E.,
Klainerman, Sergiu,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2009]
©2007
Year of Publication:2009
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 163
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Physical Description:1 online resource (296 p.)
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spelling Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) / ed. by Jean Bourgain, Sergiu Klainerman, Carlos E. Kenig.
Course Book
Princeton, NJ : Princeton University Press, [2009]
©2007
1 online resource (296 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Annals of Mathematics Studies ; 163
Frontmatter -- Contents -- Preface -- Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori -- Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation -- Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws -- Chapter 4. Nonlinear Elliptic Equations with Measures Revisited -- Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds -- Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation -- Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection -- Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres -- Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations -- Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data -- Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds -- Contributors -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Differential equations, Nonlinear Congresses.
Nonlinear partial differential operators Congresses.
MATHEMATICS / Differential Equations / General. bisacsh
Absolute value.
Addition.
Analysis.
Analytical technique.
Average.
Commutator.
Conservation law.
Continuous spectrum.
Critical focus.
Eigenfunction.
Eigenvalues and eigenvectors.
Equation.
Exponential decay.
Fourier transform.
Lecture.
Manifold.
Medium frequency.
Nature.
Navier-Stokes equations.
Nonlinear system.
Scattering theory.
Sloan Fellowship.
Spectral method.
Subset.
Support (mathematics).
Theory.
Three-dimensional space (mathematics).
Volume.
Wave equation.
Baiti, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Bourgain, J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Bourgain, Jean, editor. edt http://id.loc.gov/vocabulary/relators/edt
Bressan, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Brezis, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Burq, N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Christ, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Constantin, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Delort, J.-M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Giga, Y., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Gérard, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Ionescu, A. D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Jenssen, H. K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Kenig, C. E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Kenig, Carlos E., editor. edt http://id.loc.gov/vocabulary/relators/edt
Klainerman, Sergiu, editor. edt http://id.loc.gov/vocabulary/relators/edt
Mahalov, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Marcus, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Nicolaenko, B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Ponce, A. C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Rodnianski, I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Szeftel, J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Tao, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Tzvetkov, N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Wang, W.-M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502
print 9780691129556
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language English
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Baiti, P.,
Bourgain, J.,
Bourgain, J.,
Bourgain, Jean,
Bourgain, Jean,
Bressan, A.,
Bressan, A.,
Brezis, H.,
Brezis, H.,
Burq, N.,
Burq, N.,
Christ, M.,
Christ, M.,
Constantin, P.,
Constantin, P.,
Delort, J.-M.,
Delort, J.-M.,
Giga, Y.,
Giga, Y.,
Gérard, P.,
Gérard, P.,
Ionescu, A. D.,
Ionescu, A. D.,
Jenssen, H. K.,
Jenssen, H. K.,
Kenig, C. E.,
Kenig, C. E.,
Kenig, Carlos E.,
Kenig, Carlos E.,
Klainerman, Sergiu,
Klainerman, Sergiu,
Mahalov, A.,
Mahalov, A.,
Marcus, M.,
Marcus, M.,
Nicolaenko, B.,
Nicolaenko, B.,
Ponce, A. C.,
Ponce, A. C.,
Rodnianski, I.,
Rodnianski, I.,
Szeftel, J.,
Szeftel, J.,
Tao, T.,
Tao, T.,
Tzvetkov, N.,
Tzvetkov, N.,
Wang, W.-M.,
Wang, W.-M.,
author_facet Baiti, P.,
Baiti, P.,
Bourgain, J.,
Bourgain, J.,
Bourgain, Jean,
Bourgain, Jean,
Bressan, A.,
Bressan, A.,
Brezis, H.,
Brezis, H.,
Burq, N.,
Burq, N.,
Christ, M.,
Christ, M.,
Constantin, P.,
Constantin, P.,
Delort, J.-M.,
Delort, J.-M.,
Giga, Y.,
Giga, Y.,
Gérard, P.,
Gérard, P.,
Ionescu, A. D.,
Ionescu, A. D.,
Jenssen, H. K.,
Jenssen, H. K.,
Kenig, C. E.,
Kenig, C. E.,
Kenig, Carlos E.,
Kenig, Carlos E.,
Klainerman, Sergiu,
Klainerman, Sergiu,
Mahalov, A.,
Mahalov, A.,
Marcus, M.,
Marcus, M.,
Nicolaenko, B.,
Nicolaenko, B.,
Ponce, A. C.,
Ponce, A. C.,
Rodnianski, I.,
Rodnianski, I.,
Szeftel, J.,
Szeftel, J.,
Tao, T.,
Tao, T.,
Tzvetkov, N.,
Tzvetkov, N.,
Wang, W.-M.,
Wang, W.-M.,
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title Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) /
spellingShingle Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) /
Annals of Mathematics Studies ;
Frontmatter --
Contents --
Preface --
Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori --
Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation --
Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws --
Chapter 4. Nonlinear Elliptic Equations with Measures Revisited --
Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds --
Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation --
Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection --
Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres --
Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations --
Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data --
Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds --
Contributors --
Index
title_full Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) / ed. by Jean Bourgain, Sergiu Klainerman, Carlos E. Kenig.
title_fullStr Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) / ed. by Jean Bourgain, Sergiu Klainerman, Carlos E. Kenig.
title_full_unstemmed Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) / ed. by Jean Bourgain, Sergiu Klainerman, Carlos E. Kenig.
title_auth Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) /
title_alt Frontmatter --
Contents --
Preface --
Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori --
Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation --
Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws --
Chapter 4. Nonlinear Elliptic Equations with Measures Revisited --
Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds --
Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation --
Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection --
Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres --
Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations --
Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data --
Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds --
Contributors --
Index
title_new Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) /
title_sort mathematical aspects of nonlinear dispersive equations (am-163) /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2009
physical 1 online resource (296 p.)
Issued also in print.
edition Course Book
contents Frontmatter --
Contents --
Preface --
Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori --
Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation --
Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws --
Chapter 4. Nonlinear Elliptic Equations with Measures Revisited --
Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds --
Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation --
Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection --
Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres --
Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations --
Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data --
Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds --
Contributors --
Index
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callnumber-first Q - Science
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genre_facet Congresses.
url https://doi.org/10.1515/9781400827794
https://www.degruyter.com/isbn/9781400827794
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illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515/.355
dewey-sort 3515 3355
dewey-raw 515/.355
dewey-search 515/.355
doi_str_mv 10.1515/9781400827794
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The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. 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tag="653" ind1=" " ind2=" "><subfield code="a">Commutator.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Conservation law.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Continuous spectrum.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Critical focus.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Eigenfunction.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Eigenvalues and eigenvectors.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Equation.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Exponential decay.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Fourier transform.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lecture.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Medium frequency.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Nature.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Navier-Stokes equations.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Nonlinear system.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Scattering theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sloan Fellowship.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Spectral method.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Support (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Three-dimensional space (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Volume.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Wave equation.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Baiti, P., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bourgain, J., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bourgain, Jean, </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield 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code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Constantin, P., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Delort, J.-M., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Giga, Y., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gérard, P., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield 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D., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jenssen, H. K., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kenig, C. E., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kenig, Carlos E., </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Klainerman, Sergiu, </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mahalov, A., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Marcus, M., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Nicolaenko, B., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ponce, A. 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