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Volumn 2002, Issue , 2002, Pages

Regularity bounds on Zakharov system evolutions

Author keywords

Bilinear estimates; Initial value problems; Weak turbulence; Zakharov system

Indexed keywords


EID: 52449095039     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (15)
  • 1
    • 0000265513 scopus 로고
    • Quelques résultats de régularité pour les équations de la turbulence de Langmuir
    • H. Added and S. Added. Quelques résultats de régularité pour les équations de la turbulence de Langmuir. C.R. Acad. Sei. Pans, 289:173-176, 1979.
    • (1979) C.R. Acad. Sei. Pans , vol.289 , pp. 173-176
    • Added, H.1    Added, S.2
  • 2
    • 0009303159 scopus 로고
    • Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I,II
    • J. Bourgain. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations I,II. Georn. Fund. Anal., 3:107-156, 209-262, 1993.
    • (1993) Georn. Fund. Anal. , vol.3 , pp. 209-262
    • Bourgain, J.1
  • 3
    • 1842450240 scopus 로고    scopus 로고
    • On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE
    • J. Bourgain. On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE. Internat. Math. Res. Notices, 6:277-304, 1996.
    • (1996) Internat. Math. Res. Notices , vol.6 , pp. 277-304
    • Bourgain, J.1
  • 4
    • 0000193318 scopus 로고    scopus 로고
    • Refinements of Strichartz' inequality and applications to 2D-NLS with critical nonlinearity
    • J. Bourgain. Refinements of Strichartz' inequality and applications to 2D-NLS with critical nonlinearity. International Mathematical Research Notices, 5:253-283, 1998.
    • (1998) International Mathematical Research Notices , vol.5 , pp. 253-283
    • Bourgain, J.1
  • 6
    • 0000027774 scopus 로고    scopus 로고
    • On wellposedness of the Zakharov System
    • J. Bourgain and J. Colliander. On wellposedness of the Zakharov System. Internat. Math. Res. Notices, 1996(11):515-546, 1997.
    • (1997) Internat. Math. Res. Notices , vol.1996 , Issue.11 , pp. 515-546
    • Bourgain, J.1    Colliander, J.2
  • 9
    • 0031574596 scopus 로고    scopus 로고
    • On the Cauchy problem for the Zakharov System
    • J. Ginibre, Y. Tsutsumi, and G. Vélo. On the Cauchy problem for the Zakharov System. J. Fund. Anal. 151(2):384-436, 1997.
    • (1997) J. Fund. Anal. , vol.151 , Issue.2 , pp. 384-436
    • Ginibre, J.1    Tsutsumi, Y.2    Vélo, G.3
  • 10
    • 34249772634 scopus 로고
    • Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. II
    • L. Glangetas and F. Merle. Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. II. Comm. Math. Phys., 160:349-389, 1994.
    • (1994) Comm. Math. Phys. , vol.160 , pp. 349-389
    • Glangetas, L.1    Merle, F.2
  • 11
    • 21344478851 scopus 로고
    • Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I
    • L. Glangetas and F. Merle. Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I. Comm. Math. Phys., 160:173-215, 1994.
    • (1994) Comm. Math. Phys. , vol.160 , pp. 173-215
    • Glangetas, L.1    Merle, F.2
  • 12
    • 0041157182 scopus 로고    scopus 로고
    • On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations
    • G. Staffilani. On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations. Duke Math. J., 86, 1997.
    • (1997) Duke Math. J. , vol.86
    • Staffilani, G.1
  • 13
    • 0002487390 scopus 로고    scopus 로고
    • Quadratic forms for a 2-D semilinear Schrödinger equation
    • G. Staffilani. Quadratic forms for a 2-D semilinear Schrödinger equation. Duke Math. J., 86(1):79-107, 1997.
    • (1997) Duke Math. J. , vol.86 , Issue.1 , pp. 79-107
    • Staffilani, G.1
  • 14
    • 0001874272 scopus 로고
    • Existence globale de solutions fortes pour les equations de la turbulence de Langmuir en dimension 2
    • C. Sulem and P.L. Sulem. Existence globale de solutions fortes pour les equations de la turbulence de Langmuir en dimension 2. C.R. Acad. Sei. Paris, 299:551-554, 1984.
    • (1984) C.R. Acad. Sei. Paris , vol.299 , pp. 551-554
    • Sulem, C.1    Sulem, P.L.2
  • 15
    • 0001596227 scopus 로고
    • The collapse of Langmuir waves
    • V.E. Zakharov. The collapse of Langmuir waves. Sov. Phys. JETP, 35:908-914, 1972.
    • (1972) Sov. Phys. JETP , vol.35 , pp. 908-914
    • Zakharov, V.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.