TY  - BOOK
AU  - Mizumachi,Tetsu
TI  - Stability of line solitons for the KP-II equation in R2
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470426132 (online)
AV  - QC174.26.W28 M59 2015
U1  - 530.12/4 23
PY  - 2015///
CY  - Providence, Rhode Island
PB  - American Mathematical Society
KW  - Solitons
KW  - Wave-motion, Theory of
KW  - Symmetry (Mathematics)
KW  - Representations of algebras
N1  - Includes bibliographical references; Acknowledgments; Chapter 1. Introduction; Chapter 2. The Miura transformation and resonant modes of the linearized operator; Chapter 3. Semigroup estimates for the  linearized KP-II equation; Chapter 4. Preliminaries; Chapter 5. Decomposition of the perturbed line soliton; Chapter 6. Modulation equations; Chapter 7. A priori estimates for the local speed and  the local phase shift; Chapter 8. The $L^2(\mathbb {R}^2)$ estimate; Chapter 9. Decay estimates in the  exponentially weighted space; Chapter 10. Proof of Theorem 1.1; Chapter 11. Proof of Theorem 1.4; Chapter 12. Proof of Theorem 1.5; Appendix A. Proof of Lemma 6.1; Appendix B. Operator norms of $S^j_k$ and $\protect \widetilde {C_k}$; Appendix C. Proofs of Claims 6.2, 6.3 and 7.1; Appendix D. Estimates of $R^k$; Appendix E. Local well-posedness in  exponentially weighted space; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2015
UR  - http://www.ams.org/memo/1125/
UR  - http://dx.doi.org/10.1090/memo/1125
ER  -