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Volumn 26, Issue 2, 2010, Pages 707-728

A convolution estimate for two-dimensional hypersurfaces

Author keywords

Convolution; Hypersurface; Induction on scales; L2 estimate; Transversality

Indexed keywords


EID: 77955126501     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/615     Document Type: Article
Times cited : (47)

References (9)
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    • LOW regularity solutions for a 2D quadratic nonlinear Schrödinger equation
    • BEJENARU, I. AND DE SILVA, D.: LOW regularity solutions for a 2D quadratic nonlinear Schrödinger equation. Trans. Amer. Math. Soc. 360 (2008), no. 11, 5805-5830.
    • (2008) Trans. Amer. Math. Soc. , vol.360 , Issue.11 , pp. 5805-5830
    • Bejenaru, I.1    De Silva, D.2
  • 4
    • 33750826562 scopus 로고    scopus 로고
    • On the multilinear restriction and Kakeya conjectures
    • BENNETT, J., CARBERY, A. AND TAO, T.: On the multilinear restriction and Kakeya conjectures. Acta Math. 196 (2006), no. 2, 261-302.
    • (2006) Acta Math. , vol.196 , Issue.2 , pp. 261-302
    • Bennett, J.1    Carbery, A.2    Tao, T.3
  • 5
    • 25144454046 scopus 로고    scopus 로고
    • A non-linear generalisation of the Loomis-Whitney inequality and applications
    • BENNETT, J., CARBERY, A. AND WRIGHT, J.: A non-linear generalisation of the Loomis-Whitney inequality and applications. Math. Res. Lett. 12 (2005), no. 4, 443-457.
    • (2005) Math. Res. Lett. , vol.12 , Issue.4 , pp. 443-457
    • Bennett, J.1    Carbery, A.2    Wright, J.3
  • 7
    • 45849127168 scopus 로고    scopus 로고
    • Global well-posedness of the KP-I initial-value problem in the energy space
    • IONESCU, A.D., KENIG, C.E. AND TATARU, D.: Global well-posedness of the KP-I initial-value problem in the energy space. Invent. Math. 173 (2008), no. 2, 265-304.
    • (2008) Invent. Math. , vol.173 , Issue.2 , pp. 265-304
    • Ionescu, A.D.1    Kenig, C.E.2    Tataru, D.3
  • 8
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    • An inequality related to the isoperimetric inequality
    • LOOMIS, L. H. AND WHITNEY, H.: An inequality related to the isoperimetric inequality. Bull. Amer. Math. Soc. 55 (1949), 961-962.
    • (1949) Bull. Amer. Math. Soc. , vol.55 , pp. 961-962
    • Loomis, L.H.1    Whitney, H.2
  • 9
    • 0035486554 scopus 로고    scopus 로고
    • 2-functions, and applications to nonlinear dispersive equations
    • 2-functions, and applications to nonlinear dispersive equations. Amer. J. Math. 123 (2001), no. 5, 839-908.
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    • Tao, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.