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Volumn , Issue 163, 2007, Pages 181-211

Local and global wellposedness of periodic KP-I equations

(2)  Ionescu, A D a   Kenig, C E a  

a NONE

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EID: 34248549654     PISSN: 00662313     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (34)

References (18)
  • 1
    • 0001119719 scopus 로고
    • The initial-value problem for the Korteweg-de Vries equation
    • J. L. Bona and R. Smith, The initial-value problem for the Korteweg-de Vries equation, Philos. Trans. Roy. Soc. London Ser. A 278 (1975), 555-601.
    • (1975) Philos. Trans. Roy. Soc. London Ser. A , vol.278 , pp. 555-601
    • Bona, J.L.1    Smith, R.2
  • 2
    • 0001285869 scopus 로고
    • On the Cauchy problem for the Kadomstev-Petviashvili Equation
    • J. Bourgain, On the Cauchy problem for the Kadomstev-Petviashvili Equation, Geom. Fund. Anal. 3 (1993), 315-341.
    • (1993) Geom. Fund. Anal , vol.3 , pp. 315-341
    • Bourgain, J.1
  • 3
    • 2942564358 scopus 로고    scopus 로고
    • Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds
    • N. Burq, P. Gérard, and N. Tzvetkov, Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds, Amer. J. Math. 126 (2004), 569-605.
    • (2004) Amer. J. Math , vol.126 , pp. 569-605
    • Burq, N.1    Gérard, P.2    Tzvetkov, N.3
  • 4
    • 0000710166 scopus 로고    scopus 로고
    • Globalizing estimates for the periodic KPI equation
    • J. Colliander, Globalizing estimates for the periodic KPI equation, Illinois J. Math. 40 (1996), 692-698.
    • (1996) Illinois J. Math , vol.40 , pp. 692-698
    • Colliander, J.1
  • 6
    • 84990617895 scopus 로고
    • Commutator estimates and the Euler and Navier-Stokes equations
    • T. Kato and G. Ponce, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math. 41 (1988), 891-907.
    • (1988) Comm. Pure Appl. Math , vol.41 , pp. 891-907
    • Kato, T.1    Ponce, G.2
  • 7
    • 5744238967 scopus 로고    scopus 로고
    • On the local and global well-posedness theory for the KP-I equation
    • C. E. Kenig, On the local and global well-posedness theory for the KP-I equation, Ann. Inst. H. Poincaré Anal. Non Linéaire 21 (2004), 827-838.
    • (2004) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.21 , pp. 827-838
    • Kenig, C.E.1
  • 8
    • 84990553608 scopus 로고
    • Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
    • C. E. Kenig, G. Ponce, and L. Vega, Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle, Comm. Pure Appl. Math. 46 (1993), 527-620.
    • (1993) Comm. Pure Appl. Math , vol.46 , pp. 527-620
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 10
    • 0036872348 scopus 로고    scopus 로고
    • Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
    • L. Molinet, J.-C. Saut, and N. Tzvetkov, Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation, Duke Math. J. 115 (2002), 353-384.
    • (2002) Duke Math. J , vol.115 , pp. 353-384
    • Molinet, L.1    Saut, J.-C.2    Tzvetkov, N.3
  • 11
    • 0035981378 scopus 로고    scopus 로고
    • Global well-posedness for the KP-I equation
    • L. Molinet, J.-C. Saut, and N. Tzvetkov, Global well-posedness for the KP-I equation, Math. Ann. 324 (2002), 255-275.
    • (2002) Math. Ann , vol.324 , pp. 255-275
    • Molinet, L.1    Saut, J.-C.2    Tzvetkov, N.3
  • 12
    • 1842433811 scopus 로고    scopus 로고
    • Correction: Global well-posedness for the KP-I equation
    • L. Molinet, J.-C. Saut, and N. Tzvetkov, Correction: Global well-posedness for the KP-I equation, Math. Ann. 328 (2004), 707-710.
    • (2004) Math. Ann , vol.328 , pp. 707-710
    • Molinet, L.1    Saut, J.-C.2    Tzvetkov, N.3
  • 13
    • 0012634991 scopus 로고    scopus 로고
    • Additive Number Theory: The Classical Bases
    • Springer-Verlag, New York
    • M. B. Nathanson, Additive Number Theory: The Classical Bases, Graduate Texts in Mathematics 164, Springer-Verlag, New York (1996).
    • (1996) Graduate Texts in Mathematics , vol.164
    • Nathanson, M.B.1
  • 14
    • 0001349105 scopus 로고
    • Remarks on the generalized Kadomstev-Petviashvili equations
    • J.-C. Saut, Remarks on the generalized Kadomstev-Petviashvili equations, Indiana Univ. Math. J. 42 (1993), 1011-1026.
    • (1993) Indiana Univ. Math. J , vol.42 , pp. 1011-1026
    • Saut, J.-C.1
  • 15
    • 0034164976 scopus 로고    scopus 로고
    • The Cauchy problem for the fifth order KP equations
    • J.-C. Saut and N. Tzvetkov, The Cauchy problem for the fifth order KP equations, J. Math. Pures Appl. 79 (2000), 307-338.
    • (2000) J. Math. Pures Appl , vol.79 , pp. 307-338
    • Saut, J.-C.1    Tzvetkov, N.2
  • 16
    • 0035536231 scopus 로고    scopus 로고
    • On periodic KP-I type equations
    • J.-C. Saut and N. Tzvetkov, On periodic KP-I type equations, Comm. Math. Phys. 221 (2001), 451-476.
    • (2001) Comm. Math. Phys , vol.221 , pp. 451-476
    • Saut, J.-C.1    Tzvetkov, N.2
  • 17
    • 0003207103 scopus 로고
    • Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
    • Princeton University Press, Princeton, NJ
    • E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Mathematical Series 43, Princeton University Press, Princeton, NJ (1993).
    • (1993) Princeton Mathematical Series , vol.43
    • Stein, E.M.1
  • 18
    • 0002346079 scopus 로고    scopus 로고
    • On the local regularity of the Kadomtsev-Petviashvili-II equation
    • H. Takaoka and N. Tzvetkov, On the local regularity of the Kadomtsev-Petviashvili-II equation, Int. Math. Res. Not. 2001 (2001), 77-114.
    • (2001) Int. Math. Res. Not. 2001 , pp. 77-114
    • Takaoka, H.1    Tzvetkov, N.2


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