000 01537 a2200265 4500
001 136446
003 ISI Library, Kolkata
005 20160114155357.0
008 160114b xxu||||| |||| 00| 0 eng d
020 _a9781493921805
040 _aISI Library
082 0 4 _a530.124
_223
_bL735
100 1 _aLinares, Felipe.
245 1 0 _aIntroduction to nonlinear dispersive equations /
_cFelipe Linares and Gustavo Ponce.
250 _a2nd ed
260 _aNew York :
_bSpringer-Verlag,
_c2015.
300 _axiv, 301 p. ;
_c24 cm.
490 0 _aUniversitext
504 _aIncludes bibliographical references and index.
505 0 _a1. The Fourier Transform.- 2. Interpolation of Operators.- 3. An Introduction to Sobolev Spaces and Pseudo-Differential Operators.- 4. The Linear Schrodinger Equation.- 5. The Non-Linear Schrodinger Equation.- 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.- Appendix A Proof of Theorem 2.8.- Appendix B Proof of Lemma 4.2.- References.- Index.
520 _aThis text is designed for graduate students. It covers the basics of the field before moving to advanced material and offers key tools in harmonic and Fourier analysis. Each chapter concludes with recent developments, open problems and exercises.
650 0 _aNonlinear wave equations.
700 1 _aPonce, Gustavo.
_eauthor
942 _2ddc
_cBK
999 _c420441
_d420441