02470cam  2200397 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000270016708200170019410000290021124501040024026400700034430000380041433600210045233700250047333800230049849000740052150400550059550508500065050600500150053300950155053800360164558800470168165000140172865000280174265000270177065000330179777601500183085600440198085600480202418734130RPAM20170613145622.0ma     b    000 0 cr/|||||||||||170613t20152015riua    ob    000 0 eng    a9781470426132 (online)  aDLCbengcDLCerdadDLCdRPAM00aQC174.26.W28bM59 201500a530.12/42231 aMizumachi, Tetsu,d1969-10aStability of line solitons for the KP-II equation in R2 /h[electronic resource] cTetsu Mizumachi. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c2015.  a1 online resource (vii, 95 pages)  atext2rdacontent  aunmediated2rdamedia  avolume2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1125  aIncludes bibliographical references (pages 93-95).00tAcknowledgmentstChapter 1. IntroductiontChapter 2. The Miura transformation and resonant modes of the linearized operatortChapter 3. Semigroup estimates for the  linearized KP-II equationtChapter 4. PreliminariestChapter 5. Decomposition of the perturbed line solitontChapter 6. Modulation equationstChapter 7. A priori estimates for the local speed and  the local phase shifttChapter 8. The $L^2(\mathbb {R}^2)$ estimatetChapter 9. Decay estimates in the  exponentially weighted spacetChapter 10. Proof of Theorem 1.1tChapter 11. Proof of Theorem 1.4tChapter 12. Proof of Theorem 1.5tAppendix A. Proof of Lemma 6.1tAppendix B. Operator norms of $S^j_k$ and $\protect \widetilde {C_k}$tAppendix C. Proofs of Claims 6.2, 6.3 and 7.1tAppendix D. Estimates of $R^k$tAppendix E. Local well-posedness in  exponentially weighted space1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2015  aMode of access : World Wide Web  aDescription based on print version record. 0aSolitons. 0aWave-motion, Theory of. 0aSymmetry (Mathematics) 0aRepresentations of algebras.0 iPrint version: aMizumachi, Tetsu, 1969-tStability of line solitons for the KP-II equation in R2 /w(DLC)   2015026269x0065-9266z97814704142454 3Contentsuhttp://www.ams.org/memo/1125/4 3Contentsuhttps://doi.org/10.1090/memo/1125