메뉴 건너뛰기




Volumn 2006, Issue , 2006, Pages

Global wellposedness of the modified Benjamin-Ono equation with initial data in H1/2

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33746895188     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1155/IMRN/2006/95702     Document Type: Article
Times cited : (47)

References (32)
  • 2
    • 84902775564 scopus 로고
    • Internal waves of permanent form in fluids of great depth
    • T. B. Benjamin Internal waves of permanent form in fluids of great depth. The Journal of Fluid Mechanics 1967 29 559 592
    • (1967) The Journal of Fluid Mechanics , vol.29 , pp. 559-592
    • Benjamin, T.B.1
  • 3
    • 23044526630 scopus 로고    scopus 로고
    • Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
    • H. A. Biagioni F. Linares Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations. Transactions of the American Mathematical Society 353 2001 9 3649 3659
    • (2001) Transactions of the American Mathematical Society , vol.353 , Issue.9 , pp. 3649-3659
    • Biagioni, H.A.1    Linares, F.2
  • 5
    • 0348218177 scopus 로고    scopus 로고
    • Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
    • M. Christ J. Colliander T. Tao Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. American Journal of Mathematics 125 2003 6 1235 1293
    • (2003) American Journal of Mathematics , vol.125 , Issue.6 , pp. 1235-1293
    • Christ, M.1    Colliander, J.2    Tao, T.3
  • 6
    • 0035255579 scopus 로고    scopus 로고
    • Maximal functions associated to filtrations
    • M. Christ A. Kiselev Maximal functions associated to filtrations. Journal of Functional Analysis 179 2001 2 409 425
    • (2001) Journal of Functional Analysis , vol.179 , Issue.2 , pp. 409-425
    • Christ, M.1    Kiselev, A.2
  • 7
    • 0001072134 scopus 로고
    • Commutateurs d'intégrales singulières et opérateurs multilinéaires
    • R. R. Coifman Y. Meyer Commutateurs d'intégrales singulières et opérateurs multilinéaires. Annales de l'Institut Fourier 28 1978 3 177 202
    • (1978) Annales de l'Institut Fourier , vol.28 , Issue.3 , pp. 177-202
    • Coifman, R.R.1    Meyer, Y.2
  • 8
  • 9
    • 0000794482 scopus 로고
    • Commutator expansions and smoothing properties of generalized Benjamin-Ono equations
    • J. Ginibre G. Velo Commutator expansions and smoothing properties of generalized Benjamin-Ono equations. Annales de l'Institut Henri Poincaré. Physique Théorique 51 1989 2 221 229
    • (1989) Annales de l'Institut Henri Poincaré. Physique Théorique , vol.51 , Issue.2 , pp. 221-229
    • Ginibre, J.1    Velo, G.2
  • 11
    • 0001243978 scopus 로고
    • Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
    • J. Ginibre G. Velo Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation. Journal of Differential Equations 93 1991 1 150 212
    • (1991) Journal of Differential Equations , vol.93 , Issue.1 , pp. 150-212
    • Ginibre, J.1    Velo, G.2
  • 12
    • 0036002264 scopus 로고    scopus 로고
    • On the reduction of the modified Benjamin-Ono equation to the cubic derivative nonlinear Schrödinger equation
    • N. Hayashi P. I. Naumkin On the reduction of the modified Benjamin-Ono equation to the cubic derivative nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems 8 2002 1 237 255
    • (2002) Discrete and Continuous Dynamical Systems , vol.8 , Issue.1 , pp. 237-255
    • Hayashi, N.1    Naumkin, P.I.2
  • 15
    • 0742323748 scopus 로고    scopus 로고
    • On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations
    • C. E. Kenig K. D. Koenig On the local well-posedness of the Benjamin-Ono and modified Benjamin-Ono equations. Mathematical Research Letters 10 2003 5-6 879 895
    • (2003) Mathematical Research Letters , vol.10 , Issue.5-6 , pp. 879-895
    • Kenig, C.E.1    Koenig, K.D.2
  • 17
    • 84990553608 scopus 로고
    • Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
    • C. E. Kenig G. Ponce L. Vega Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Communications on Pure and Applied Mathematics 46 1993 4 527 620
    • (1993) Communications on Pure and Applied Mathematics , vol.46 , Issue.4 , pp. 527-620
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 19
    • 0001442617 scopus 로고    scopus 로고
    • On the ill-posedness of some canonical dispersive equations
    • C. E. Kenig G. Ponce L. Vega On the ill-posedness of some canonical dispersive equations. Duke Mathematical Journal 106 2001 3 617 633
    • (2001) Duke Mathematical Journal , vol.106 , Issue.3 , pp. 617-633
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 20
    • 0037780742 scopus 로고    scopus 로고
    • On the local well-posedness of the Benjamin-Ono equation in Hs()
    • H. Koch N. Tzvetkov On the local well-posedness of the Benjamin-Ono equation in Hs(). International Mathematics Research Notices 2003 26 2003 1449 1464
    • (2003) International Mathematics Research Notices , vol.2003 , Issue.26 , pp. 1449-1464
    • Koch, H.1    Tzvetkov, N.2
  • 21
    • 18144388316 scopus 로고    scopus 로고
    • Well-posedness results for the generalized Benjamin-Ono equation with arbitrary large initial data
    • L. Molinet F. Ribaud Well-posedness results for the generalized Benjamin-Ono equation with arbitrary large initial data. International Mathematics Research Notices 2004 2004 70 3757 3795
    • (2004) International Mathematics Research Notices , vol.2004 , Issue.70 , pp. 3757-3795
    • Molinet, L.1    Ribaud, F.2
  • 23
    • 0016459710 scopus 로고
    • Algebraic solitary waves in stratified fluids
    • H. Ono Algebraic solitary waves in stratified fluids. Journal of the Physical Society of Japan 39 1975 4 1082 1091
    • (1975) Journal of the Physical Society of Japan , vol.39 , Issue.4 , pp. 1082-1091
    • Ono, H.1
  • 24
    • 0001366166 scopus 로고
    • Long range scattering for nonlinear Schrödinger equations in one space dimension
    • T. Ozawa Long range scattering for nonlinear Schrödinger equations in one space dimension. Communications in Mathematical Physics 139 1991 3 479 493
    • (1991) Communications in Mathematical Physics , vol.139 , Issue.3 , pp. 479-493
    • Ozawa, T.1
  • 25
    • 84972496552 scopus 로고
    • On the global well-posedness of the Benjamin-Ono equation
    • G. Ponce On the global well-posedness of the Benjamin-Ono equation. Differential and Integral Equations 4 1991 3 527 542
    • (1991) Differential and Integral Equations , vol.4 , Issue.3 , pp. 527-542
    • Ponce, G.1
  • 26
    • 0001427886 scopus 로고    scopus 로고
    • Global Strichartz estimates for nontrapping perturbations of the Laplacian
    • H. F. Smith C. D. Sogge Global Strichartz estimates for nontrapping perturbations of the Laplacian. Communications in Partial Differential Equations 25 2000 11-12 2171 2183
    • (2000) Communications in Partial Differential Equations , vol.25 , Issue.11-12 , pp. 2171-2183
    • Smith, H.F.1    Sogge, C.D.2
  • 28
    • 0001064535 scopus 로고    scopus 로고
    • Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
    • H. Takaoka Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity. Advances in Differential Equations 4 1999 4 561 580
    • (1999) Advances in Differential Equations , vol.4 , Issue.4 , pp. 561-580
    • Takaoka, H.1
  • 29
    • 0034355004 scopus 로고    scopus 로고
    • Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation
    • T. Tao Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation. Communications in Partial Differential Equations 25 2000 7-8 1471 1485
    • (2000) Communications in Partial Differential Equations , vol.25 , Issue.7-8 , pp. 1471-1485
    • Tao, T.1
  • 30
    • 0035541508 scopus 로고    scopus 로고
    • Global regularity of wave maps. II. Small energy in two dimensions
    • T. Tao Global regularity of wave maps. II. Small energy in two dimensions. Communications in Mathematical Physics 224 2001 2 443 544
    • (2001) Communications in Mathematical Physics , vol.224 , Issue.2 , pp. 443-544
    • Tao, T.1
  • 31
    • 18144412707 scopus 로고    scopus 로고
    • Global well-posedness of the Benjamin-Ono equation in H1()
    • T. Tao Global well-posedness of the Benjamin-Ono equation in H1(). Journal of Hyperbolic Differential Equations 1 2004 1 27 49
    • (2004) Journal of Hyperbolic Differential Equations , vol.1 , Issue.1 , pp. 27-49
    • Tao, T.1
  • 32
    • 84946267644 scopus 로고
    • Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
    • M. I. Weinstein Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation. Communications in Partial Differential Equations 12 1987 10 1133 1173
    • (1987) Communications in Partial Differential Equations , vol.12 , Issue.10 , pp. 1133-1173
    • Weinstein, M.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.