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001			18734130
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007			cr/|||||||||||
008			150824s2015 riu ob 000 0 eng
020			_a9781470426132 (online)
040			_aDLC _beng _erda _cDLC _dRPAM
050	0	0	_aQC174.26.W28 _bM59 2015
082	0	0	_a530.12/4 _223
100	1		_aMizumachi, Tetsu, _d1969-
245	1	0	_aStability of line solitons for the KP-II equation in R2 / _h[electronic resource] _cTetsu Mizumachi.
260		1	_aProvidence, Rhode Island : _bAmerican Mathematical Society, _c2015.
263			_a1511
264		1	_aProvidence, Rhode Island : _bAmerican Mathematical Society, _c2015.
300			_a1 online resource (pages cm.)
336			_atext _2rdacontent
337			_aunmediated _2rdamedia
338			_avolume _2rdacarrier
490	0		_aMemoirs of the American Mathematical Society, _x0065-9266 (print); _x1947-6221 (online); _vv. 1125
504			_aIncludes bibliographical references.
505	0	0	_tAcknowledgments _tChapter 1. Introduction _tChapter 2. The Miura transformation and resonant modes of the linearized operator _tChapter 3. Semigroup estimates for the linearized KP-II equation _tChapter 4. Preliminaries _tChapter 5. Decomposition of the perturbed line soliton _tChapter 6. Modulation equations _tChapter 7. A priori estimates for the local speed and the local phase shift _tChapter 8. The $L^2(\mathbb {R}^2)$ estimate _tChapter 9. Decay estimates in the exponentially weighted space _tChapter 10. Proof of Theorem 1.1 _tChapter 11. Proof of Theorem 1.4 _tChapter 12. Proof of Theorem 1.5 _tAppendix A. Proof of Lemma 6.1 _tAppendix B. Operator norms of $S^j_k$ and $\protect \widetilde {C_k}$ _tAppendix C. Proofs of Claims 6.2, 6.3 and 7.1 _tAppendix D. Estimates of $R^k$ _tAppendix E. Local well-posedness in exponentially weighted space
506	1		_aAccess is restricted to licensed institutions
533			_aElectronic reproduction. _bProvidence, Rhode Island : _cAmerican Mathematical Society. _d2015
538			_aMode of access : World Wide Web
588			_aDescription based on print version record.
650		0	_aSolitons.
650		0	_aWave-motion, Theory of.
650		0	_aSymmetry (Mathematics)
650		0	_aRepresentations of algebras.
776	0		_iPrint version: _aMizumachi, Tetsu, 1969- _tStability of line solitons for the KP-II equation in R2 / _w(DLC) 2015026269 _x0065-9266 _z9781470414245
786			_dAmerican mathematical Society
856	4		_3Contents _uhttp://www.ams.org/memo/1125/
856	4		_3Contents _uhttp://dx.doi.org/10.1090/memo/1125
942			_2EBK13578 _cEBK
999			_c42872 _d42872