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Volumn , Issue 294, 2004, Pages 63-75

Exemples d'instabilités pour des équations d'ondes non linéaires [d'après G. Lebeau]

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EID: 33646574105     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Review
Times cited : (4)

References (17)
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    • The global Cauchy problem for the critical nonlinear wave equation
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  • 5
    • 0034403210 scopus 로고    scopus 로고
    • On the nonlinear instability of Euler and Prandtl equations
    • E. GRENIER - «On the nonlinear instability of Euler and Prandtl equations», Comm. Pure Appl. Math. 53 (2000), no. 9, p. 1067-1091.
    • (2000) Comm. Pure Appl. Math. , vol.53 , Issue.9 , pp. 1067-1091
    • Grenier, E.1
  • 6
    • 0000026775 scopus 로고
    • Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
    • M. GRILLAKIS - «Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity», Ann. of Math. 132 (1990), p. 485-509.
    • (1990) Ann. of Math. , vol.132 , pp. 485-509
    • Grillakis, M.1
  • 7
    • 0022917172 scopus 로고
    • Resonantly interacting weakly nonlinear hyperbolic waves II: Several space variables
    • J. HUNTER, A. MAJDA & R. ROSALES - «Resonantly interacting weakly nonlinear hyperbolic waves II: several space variables», Stud. Appl. Math. 75 (1986), p. 187-226.
    • (1986) Stud. Appl. Math. , vol.75 , pp. 187-226
    • Hunter, J.1    Majda, A.2    Rosales, R.3
  • 8
  • 9
    • 0034259179 scopus 로고    scopus 로고
    • Transparent nonlinear geometric optics and maxwell-bloch equations
    • _, «Transparent Nonlinear Geometric Optics and Maxwell-Bloch Equations», J. Differential Equations 166 (2000), p. 175-250.
    • (2000) J. Differential Equations , vol.166 , pp. 175-250
  • 10
    • 84859280103 scopus 로고    scopus 로고
    • Nonlinear optic and supercritical wave equation
    • preprint et Séminaire EDP École Polytechnique
    • G. LEBEAU - «Nonlinear optic and supercritical wave equation», preprint et «Optique non linéaire et ondes surcritiques», Séminaire EDP École Polytechnique, 1999.
    • (1999) Optique Non Linéaire et Ondes Surcritiques
    • Lebeau, G.1
  • 11
    • 0001478425 scopus 로고
    • On existence and scattering with minimal regularity for semilinear wave equations
    • H. LINDBLAD & C. SOGGE - «On existence and scattering with minimal regularity for semilinear wave equations», J. Funct. Anal. 130 (1995), p. 357-426.
    • (1995) J. Funct. Anal. , vol.130 , pp. 357-426
    • Lindblad, H.1    Sogge, C.2
  • 14
    • 0040931313 scopus 로고
    • Oscillations non linéaires des systèmes hyperboliques: Méthodes et résultats qualitatifs
    • D. SERRE - «Oscillations non linéaires des systèmes hyperboliques: méthodes et résultats qualitatifs», Ann. Inst. H. Poincaré. Anal. Non Linéaire 8 (1991), p. 351-417.
    • (1991) Ann. Inst. H. Poincaré. Anal. Non Linéaire , vol.8 , pp. 351-417
    • Serre, D.1
  • 15
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    • Well posedncss in the energy estimate for semi-linear wave equations with critical growth
    • J. SHATAH & M. STRUWE - «Well posedncss in the energy estimate for semi-linear wave equations with critical growth», I.M.R.N. (1994), p. 303-309.
    • (1994) I.M.R.N. , pp. 303-309
    • Shatah, J.1    Struwe, M.2
  • 17
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    • Pure and Applied Mathematics, John Wiley and Sons
    • G.B. WHITMAM - Linear and Nonlinear Waves, Pure and Applied Mathematics, John Wiley and Sons, 1974.
    • (1974) Linear and Nonlinear Waves
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.