| 000 | 02381nam a22004215i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-84899-0 | ||
| 003 | DE-He213 | ||
| 005 | 20251006084424.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2009 xxu| s |||| 0|eng d | ||
| 020 | _a9780387848990 | ||
| 020 | _a99780387848990 | ||
| 024 | 7 |
_a10.1007/978-0-387-84899-0 _2doi |
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| 100 | 1 |
_aPonce, Gustavo. _eauthor. |
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| 245 | 1 | 0 |
_aIntroduction to Nonlinear Dispersive Equations _h[electronic resource] / _cby Gustavo Ponce, Felipe Linares. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2009. |
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| 300 | _bonline resource. | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 | _aUniversitext | |
| 505 | 0 | _aThe Fourier Transform -- Interpolation of Operators. A Multiplier Theorem -- Sobolev Spaces and Pseudo-Differential Operators -- The Linear Schrodinger Equation -- The Nonlinear Schrodinger Equation. Local Theory -- Asymptotic Behavior for NLS Equation -- Korteweg-de Vries Equation -- Asymptotic Behavior for k-gKdV Equations -- Other Nonlinear Dispersive Models -- General Quasilinear Schrodinger Equation. | |
| 520 | _aThe 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. | ||
| 650 | 0 | _aMATHEMATICS. | |
| 650 | 0 | _aDIFFERENTIAL EQUATIONS, PARTIAL. | |
| 650 | 1 | 4 | _aMATHEMATICS. |
| 650 | 2 | 4 | _aPARTIAL DIFFERENTIAL EQUATIONS. |
| 700 | 1 |
_aLinares, Felipe. _eauthor. |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387848983 |
| 830 | 0 | _aUniversitext | |
| 856 | 4 | 0 |
_uhttp://dx.doi.org/10.1007/978-0-387-84899-0 _zVer el texto completo en las instalaciones del CICY |
| 912 | _aZDB-2-SMA | ||
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_2ddc _cER |
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_c59245 _d59245 |
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