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Volumn 322, Issue 3, 2013, Pages 731-753

Scattering for the Zakharov System in 3 Dimensions

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EID: 84880506192     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-013-1738-6     Document Type: Article
Times cited : (37)

References (27)
  • 1
    • 17144439672 scopus 로고    scopus 로고
    • On the Well-posedness of the Zakharov system
    • Bourgain J., Colliander J.: On the Well-posedness of the Zakharov system. IMRN 11, 515-546 (1996).
    • (1996) Imrn , vol.11 , pp. 515-546
    • Bourgain, J.1    Colliander, J.2
  • 3
    • 79954895399 scopus 로고    scopus 로고
    • Convolutions of singular measures and applications to the Zakharov system
    • Bejenaru I., Herr S.: Convolutions of singular measures and applications to the Zakharov system. J. Funct. Anal. 261(2), 478-506 (2011).
    • (2011) J. Funct. Anal. , vol.261 , Issue.2 , pp. 478-506
    • Bejenaru, I.1    Herr, S.2
  • 4
    • 0001923237 scopus 로고
    • Au delàà des opérateurs pseudo-différentiels
    • Paris: Soc. Math. de France
    • Coifman, R., Meyer, Y.: Au delàà des opérateurs pseudo-différentiels. Astérisque 57, Paris: Soc. Math. de France, 1978.
    • (1978) Astérisque 57
    • Coifman, R.1    Meyer, Y.2
  • 5
    • 67650765274 scopus 로고    scopus 로고
    • Global solutions for 3D quadratic Schrödinger equations
    • Germain P., Masmoudi N., Shatah J.: Global solutions for 3D quadratic Schrödinger equations. Int. Math. Res. Not. IMRN 2009(3), 414-432 (2009).
    • (2009) Int. Math. Res. Not. IMRN , vol.2009 , Issue.3 , pp. 414-432
    • Germain, P.1    Masmoudi, N.2    Shatah, J.3
  • 6
    • 84857870242 scopus 로고    scopus 로고
    • Global solutions for the gravity surface water waves equation in dimension 3
    • Germain P., Masmoudi N., Shatah J.: Global solutions for the gravity surface water waves equation in dimension 3. Ann. of Math. 175(2), 691-754 (2012).
    • (2012) Ann. Of Math. , vol.175 , Issue.2 , pp. 691-754
    • Germain, P.1    Masmoudi, N.2    Shatah, J.3
  • 7
    • 0031574596 scopus 로고    scopus 로고
    • On the Cauchy problem for the Zakharov system
    • Ginibre J., Tsutsumi Y., Velo G.: On the Cauchy problem for the Zakharov system. J. Funct. Anal. 151(2), 384-436 (1997).
    • (1997) J. Funct. Anal. , vol.151 , Issue.2 , pp. 384-436
    • Ginibre, J.1    Tsutsumi, Y.2    Velo, G.3
  • 8
    • 84875245504 scopus 로고    scopus 로고
    • Scattering theory for the Zakharov system
    • Ginibre J., Velo G.: Scattering theory for the Zakharov system. Hokkaido Math. J. 35(4), 865-892 (2006).
    • (2006) Hokkaido Math. J. , vol.35 , Issue.4 , pp. 865-892
    • Ginibre, J.1    Velo, G.2
  • 9
    • 0036433568 scopus 로고    scopus 로고
    • Long range scattering and modified wave operators for the Wave Schrödinger system
    • Ginibre J., Velo G.: Long range scattering and modified wave operators for the Wave Schrödinger system. Ann. Henri Poincaré 3, 537-612 (2002).
    • (2002) Ann. Henri Poincaré , vol.3 , pp. 537-612
    • Ginibre, J.1    Velo, G.2
  • 10
    • 0345356919 scopus 로고    scopus 로고
    • Long range scattering and modified wave operators for the Wave Schrödinger system II
    • Ginibre J., Velo G.: Long range scattering and modified wave operators for the Wave Schrödinger system II. Ann. Henri Poincaré 4, 973-999 (2003).
    • (2003) Ann. Henri Poincaré , vol.4 , pp. 973-999
    • Ginibre, J.1    Velo, G.2
  • 11
    • 33847421650 scopus 로고    scopus 로고
    • Long range scattering and modified wave operators for the Wave Schrödinger system III
    • Ginibre J., Velo G.: Long range scattering and modified wave operators for the Wave Schrödinger system III. Dyn. PDE 2, 101-125 (2005).
    • (2005) Dyn. PDE , vol.2 , pp. 101-125
    • Ginibre, J.1    Velo, G.2
  • 14
    • 84874366854 scopus 로고    scopus 로고
    • The Euler-Poisson system in 2D: global stability of the constant equilibrium solution
    • Ionescu A., Pausader B.: The Euler-Poisson system in 2D: global stability of the constant equilibrium solution. Int. Math. Res. Not. IMRN 2013, 761-826 (2013).
    • (2013) Int. Math. Res. Not. IMRN , vol.2013 , pp. 761-826
    • Ionescu, A.1    Pausader, B.2
  • 15
    • 0000515612 scopus 로고
    • On the Zakharov and Zakharov-Schulman systems
    • Kenig C. E., Ponce G., Vega L.: On the Zakharov and Zakharov-Schulman systems. J. Funct. Anal. 127(1), 204-234 (1995).
    • (1995) J. Funct. Anal. , vol.127 , Issue.1 , pp. 204-234
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 16
    • 42449103930 scopus 로고    scopus 로고
    • Energy convergence for singular limits of Zakharov type systems
    • Masmoudi N., Nakanishi K.: Energy convergence for singular limits of Zakharov type systems. Invent. Math. 172(3), 535-583 (2008).
    • (2008) Invent. Math. , vol.172 , Issue.3 , pp. 535-583
    • Masmoudi, N.1    Nakanishi, K.2
  • 17
    • 46549092797 scopus 로고
    • Hamiltonian approach to the description of nonlinear plasma phenomena
    • Musher S. L., Rubenchik A. M., Zakharov V. E.: Hamiltonian approach to the description of nonlinear plasma phenomena. Phys. Rep. 129(5), 285-366 (1985).
    • (1985) Phys. Rep. , vol.129 , Issue.5 , pp. 285-366
    • Musher, S.L.1    Rubenchik, A.M.2    Zakharov, V.E.3
  • 18
    • 12144273362 scopus 로고
    • Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions
    • Ozawa, T., Tsutsumi, Y.: Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions. Adv. Math. Sci. Appl. 3 Special Issue, 301-334 (1993/94).
    • (1993) Adv. Math. Sci. Appl , vol.3 , Issue.SPEC. ISSUE , pp. 301-334
    • Ozawa, T.1    Tsutsumi, Y.2
  • 20
    • 84990623722 scopus 로고
    • Normal forms and quadratic nonlinear Klein-Gordon equations
    • Shatah J.: Normal forms and quadratic nonlinear Klein-Gordon equations. Comm. Pure Appl. Math. 38(5), 685-696 (1985).
    • (1985) Comm. Pure Appl. Math. , vol.38 , Issue.5 , pp. 685-696
    • Shatah, J.1
  • 21
    • 0004241901 scopus 로고    scopus 로고
    • Geometric wave equations
    • New York: New York University Courant Institute of Mathematical Sciences
    • Shatah, J., Struwe, M.: Geometric wave equations. Volume 2 of Courant Lecture Notes in Mathematics. New York: New York University Courant Institute of Mathematical Sciences, 1998.
    • (1998) Volume 2 of Courant Lecture Notes in Mathematics
    • Shatah, J.1    Struwe, M.2
  • 22
    • 12144261484 scopus 로고    scopus 로고
    • Scattering theory for Zakharov equations in three space dimensions with large data
    • Shimomura A.: Scattering theory for Zakharov equations in three space dimensions with large data. Commun. Contemp. Math 6, 881-899 (2004).
    • (2004) Commun. Contemp. Math , vol.6 , pp. 881-899
    • Shimomura, A.1
  • 23
    • 0346913342 scopus 로고    scopus 로고
    • Modified wave operators for the coupled wave-Schrödinger equations in three space dimensions
    • Shimomura A.: Modified wave operators for the coupled wave-Schrödinger equations in three space dimensions. Discrete Contin. Dyn. Syst. 9(6), 1571-1586 (2003).
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , Issue.6 , pp. 1571-1586
    • Shimomura, A.1
  • 24
    • 0344197672 scopus 로고    scopus 로고
    • Modified wave operators for Maxwell-Schrödinger equations in three-dimensions space
    • Shimomura A.: Modified wave operators for Maxwell-Schrödinger equations in three-dimensions space. Ann. Henri Poincaré 4, 661-683 (2003).
    • (2003) Ann. Henri Poincaré , vol.4 , pp. 661-683
    • Shimomura, A.1
  • 25
    • 0003230098 scopus 로고    scopus 로고
    • The nonlinear Schrödinger equation. Self-focussing and wave collapse
    • New York: Springer-Verlag
    • Sulem, C., Sulem, P. L.: The nonlinear Schrödinger equation. Self-focussing and wave collapse. Applied Mathematical Sciences, 139. New York: Springer-Verlag, 1999.
    • (1999) Applied Mathematical Sciences , pp. 139
    • Sulem, C.1    Sulem, P.L.2
  • 26
    • 33847268828 scopus 로고    scopus 로고
    • Derivation of the Zakharov equations
    • Texier B.: Derivation of the Zakharov equations. Arch. Ration. Mech. Anal. 184(1), 121-183 (2007).
    • (2007) Arch. Ration. Mech. Anal. , vol.184 , Issue.1 , pp. 121-183
    • Texier, B.1
  • 27
    • 0000899292 scopus 로고
    • Collapse of Langmuir waves
    • [Sov. Phys. JETP 35, 908-914 (1972)]
    • Zakharov, V. E.: Collapse of Langmuir waves. Zh. Eksp. Teor. Fiz. 62, 1745-1751 (1972) [Sov. Phys. JETP 35, 908-914 (1972)].
    • (1972) Zh. Eksp. Teor. Fiz , vol.62 , pp. 1745-1751
    • Zakharov, V.E.1


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