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Volumn 2014, Issue 9, 2014, Pages 2327-2342

Small energy scattering for the zakharov system with radial symmetry

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EID: 84899845182     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1093/imrn/rns296     Document Type: Article
Times cited : (48)

References (18)
  • 1
    • 79954895399 scopus 로고    scopus 로고
    • Convolutions of singular measures and applications to the Zakharov system
    • Bejenaru, I. and S. Herr. "Convolutions of singular measures and applications to the Zakharov system." Journal of Functional Analysis 261, no. 2 (2011): 478-506.
    • (2011) Journal of Functional Analysis , vol.261 , Issue.2 , pp. 478-506
    • Bejenaru, I.1    Herr, S.2
  • 2
    • 67650751537 scopus 로고    scopus 로고
    • On the 2D Zakharov system with L2 Schr ödinger data
    • Bejenaru, I., S. Herr, J. Holmer, and D. Tataru. "On the 2D Zakharov system with L2 Schr ödinger data." Nonlinearity 22, no. 5 (2009): 1063-89.
    • (2009) Nonlinearity , vol.22 , Issue.5 , pp. 1063-1089
    • Bejenaru, I.1    Herr, S.2    Holmer, J.3    Tataru, D.4
  • 4
  • 5
    • 84875245504 scopus 로고    scopus 로고
    • Scattering theory for the Zakharov system
    • Ginibre, J. and G. Velo. "Scattering theory for the Zakharov system." Hokkaido Mathematical Journal 35, no. 4 (2006): 865-92.
    • (2006) Hokkaido Mathematical Journal , vol.35 , Issue.4 , pp. 865-892
    • Ginibre, J.1    Velo, G.2
  • 7
    • 0000515612 scopus 로고
    • On the Zakharov and Zakharov-Schulman systems
    • Kenig, C., G. Ponce, and L. Vega. "On the Zakharov and Zakharov-Schulman systems." Journal of Functional Analysis 127, no. 1 (1995): 204-34.
    • (1995) Journal of Functional Analysis , vol.127 , Issue.1 , pp. 204-234
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 9
    • 42449103930 scopus 로고    scopus 로고
    • Energy convergence for singular limits of Zakharov type systems
    • Masmoudi, N. and K. Nakanishi. "Energy convergence for singular limits of Zakharov type systems." Inventiones Mathematicae 172, no. 3 (2008): 535-83.
    • (2008) Inventiones Mathematicae , vol.172 , Issue.3 , pp. 535-583
    • Masmoudi, N.1    Nakanishi, K.2
  • 10
    • 0030547724 scopus 로고    scopus 로고
    • Blow-up results of virial type for Zakharov equations
    • Merle, F. "Blow-up results of virial type for Zakharov equations." Communications in Mathematical Physics 175, no. 2 (1996): 433-55.
    • (1996) Communications in Mathematical Physics , vol.175 , Issue.2 , pp. 433-455
    • Merle, F.1
  • 11
    • 0033483674 scopus 로고    scopus 로고
    • Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions
    • Ozawa, T., K. Tsutaya, and Y. Tsutsumi, "Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions." Mathematische Annalen 313, no. 1 (1999): 127-40.
    • (1999) Mathematische Annalen , vol.313 , Issue.1 , pp. 127-140
    • Ozawa, T.1    Tsutaya, K.2    Tsutsumi, Y.3
  • 12
    • 84972498389 scopus 로고
    • The nonlinear Schr ödinger limit and the initial layer of the Zakharov equations
    • Ozawa, T. and Y. Tsutsumi, "The nonlinear Schr ödinger limit and the initial layer of the Zakharov equations." Differential and Integral Equations 5, no. 4 (1992): 721-45.
    • (1992) Differential and Integral Equations , vol.5 , Issue.4 , pp. 721-745
    • Ozawa, T.1    Tsutsumi, Y.2
  • 13
    • 12144273362 scopus 로고    scopus 로고
    • Global existence and asymptotic behavior of solutions for the Zakharov equations in three-dimensions space
    • (Special Issue) 1993/ 94
    • Ozawa, T. and Y. Tsutsumi, "Global existence and asymptotic behavior of solutions for the Zakharov equations in three-dimensions space." Advances in Mathematical Sciences Applications 3 (Special Issue) (1993/94): 301-34.
    • Advances in Mathematical Sciences Applications , vol.3 , pp. 301-334
    • Ozawa, T.1    Tsutsumi, Y.2
  • 14
    • 0000014949 scopus 로고
    • The nonlinear Schr ödinger limit of the Zakharov equations governing Langmuir turbulence
    • Schochet, S. and Weinstein, M. "The nonlinear Schr ödinger limit of the Zakharov equations governing Langmuir turbulence." Communications in Mathematical Physics 106, no. 4 (1986): 569-80.
    • (1986) Communications in Mathematical Physics , vol.106 , Issue.4 , pp. 569-580
    • Schochet, S.1    Weinstein, M.2
  • 15
    • 84990623722 scopus 로고
    • Normal forms and quadratic nonlinear Klein-Gordon equations
    • Shatah, J. "Normal forms and quadratic nonlinear Klein-Gordon equations." Communications in Pure and Applied Mathematics 38, no. 5 (1985): 685-96.
    • (1985) Communications in Pure and Applied Mathematics , vol.38 , Issue.5 , pp. 685-696
    • Shatah, J.1
  • 16
    • 12144261484 scopus 로고    scopus 로고
    • Scattering theory for Zakharov equations in three-dimensional space with large data
    • Shimomura, A. "Scattering theory for Zakharov equations in three-dimensional space with large data." Communications in Contemporary Mathematics 6, no. 6 (2004): 881-899.
    • (2004) Communications in Contemporary Mathematics , vol.6 , Issue.6 , pp. 881-899
    • Shimomura, A.1
  • 17
    • 15744395881 scopus 로고    scopus 로고
    • Well-posedness for the Zakharov system with the periodic boundary condition
    • Takaoka, H. "Well-posedness for the Zakharov system with the periodic boundary condition." Differential and Integral Equations 12, no. 6 (1999): 789-810.
    • (1999) Differential and Integral Equations , vol.12 , Issue.6 , pp. 789-810
    • Takaoka, H.1
  • 18
    • 0001596227 scopus 로고
    • Collapse of Langmuir waves
    • Zakharov, V. E. "Collapse of Langmuir waves." Soviet Physics JETP 35, no. 5 (1972): 908-914.
    • (1972) Soviet Physics JETP , vol.35 , Issue.5 , pp. 908-914
    • Zakharov, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.