Stability of line solitons for the KP-II equation in R2 / Tetsu Mizumachi.

Format:

Book

Author/Creator:

Mizumachi, Tetsu, 1969-

Series:

Memoirs of the American Mathematical Society ; v. 1125.

Memoirs of the American Mathematical Society, 1947-6221 ; v. 1125

Language:

English

Subjects (All):

Solitons.

Wave-motion, Theory of.

Symmetry (Mathematics).

Representations of algebras.

Physical Description:

1 online resource (vii, 95 pages).

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2015.

System Details:

Mode of access : World Wide Web

text file

Contents:

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

Notes:

Includes bibliographical references (pages 93-95).

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015

Description based on print version record.

Other Format:

Print version: Mizumachi, Tetsu, 1969- Stability of line solitons for the KP-II equation in R2 /

ISBN:

9781470426132

Access Restriction:

Restricted for use by site license.