TY - BOOK AU - Bejenaru,Ioan AU - Tataru,Daniel TI - Near soliton evolution for equivariant Schr�odinger maps in two spatial dimensions T2 - Memoirs of the American Mathematical Society, SN - 9781470414818 (online) AV - QA377 .B455 2013 U1 - 530.1201/5153534 23 PY - 2013///] CY - Providence, Rhode Island PB - American Mathematical Society KW - Heat equation KW - Schr�odinger equation KW - Differential equations, Parabolic N1 - "March 2014, volume 228, number 1069 (first of 5 numbers)."; Includes bibliographical references (pages 107-108); Chapter 1. Introduction; Chapter 2. An outline of the paper; Chapter 3. The Coulomb gauge representation of the equation; Chapter 4. Spectral analysis for the operators $H$, $\tilde H$; the $X,L X$ spaces; Chapter 5. The linear $\tilde H$ Schr�odinger equation; Chapter 6. The time dependent linear evolution; Chapter 7. Analysis of the gauge elements in $X,LX$; Chapter 8. The nonlinear equation for $\psi $; Chapter 9. The bootstrap estimate for the $\lambda $ parameter; Chapter 10. The bootstrap argument; Chapter 11. The $\dot H^1$ instability result; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2014 UR - http://www.ams.org/memo/1069/ UR - http://dx.doi.org/10.1090/memo/1069 ER -