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Volumn 128, Issue 5, 2006, Pages 1187-1218

Long-time existence for semi-linear klein-gordon equations with small cauchy data on zoll manifolds

(2)  Delort, J M a   Szeftel, J a  

a NONE

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EID: 33750531021     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2006.0038     Document Type: Article
Times cited : (43)

References (15)
  • 1
    • 0037346777 scopus 로고    scopus 로고
    • Birkhoff normal form for some nonlinear PDEs
    • D. Bambusi, Birkhoff normal form for some nonlinear PDEs, Comm. Math. Phys. 234 (2003), 253-285.
    • (2003) Comm. Math. Phys. , vol.234 , pp. 253-285
    • Bambusi, D.1
  • 2
    • 17944387090 scopus 로고    scopus 로고
    • Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations
    • J. Bourgain, Construction of approximative and almost periodic solutions of perturbed linear Schrödinger and wave equations, Geom. Funct. Anal. 6 (1996), 201-230.
    • (1996) Geom. Funct. Anal. , vol.6 , pp. 201-230
    • Bourgain, J.1
  • 3
    • 12144282712 scopus 로고    scopus 로고
    • Bilinear eigenfunctions estimates and the nonlinear Schrödinger equation on surfaces
    • N. Burq, P. Gérard and N. Tzvetkov, Bilinear eigenfunctions estimates and the nonlinear Schrödinger equation on surfaces, Invent. Math. 159 (2005), 187 - 223.
    • (2005) Invent. Math. , vol.159 , pp. 187-223
    • Burq, N.1    Gérard, P.2    Tzvetkov, N.3
  • 4
    • 20444425674 scopus 로고    scopus 로고
    • Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrodinger equations
    • _, Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrodinger equations, Ann. Sci. École. Norm. Sup. 38(4) (2005), 255-301.
    • (2005) Ann. Sci. École. Norm. Sup. , vol.38 , Issue.4 , pp. 255-301
  • 5
    • 51249186551 scopus 로고
    • Sur le spectre des opérateurs elliptiques à bicaractéristiques toutes périodiques
    • Y. Colin de Verdière, Sur le spectre des opérateurs elliptiques à bicaractéristiques toutes périodiques, Comment. Math. Helv. 54 (1979), 508-522.
    • (1979) Comment. Math. Helv. , vol.54 , pp. 508-522
    • De Verdière, Y.C.1
  • 6
    • 84990576596 scopus 로고
    • Newton's method and periodic solutions of nonlinear wave equations
    • W. Craig and C. Wayne, Newton's method and periodic solutions of nonlinear wave equations, Comm. Pure Appl. Math. 46 (1993), 1409-1498.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 1409-1498
    • Craig, W.1    Wayne, C.2
  • 8
    • 0039657090 scopus 로고    scopus 로고
    • Temps d'existence pour l'équation de Klein-Gordon semi-linéaire à données petites périodiques
    • J.-M. Delort, Temps d'existence pour l'équation de Klein-Gordon semi-linéaire à données petites périodiques, Amer. J. Math. 120 (1998), 663-689.
    • (1998) Amer. J. Math. , vol.120 , pp. 663-689
    • Delort, J.-M.1
  • 9
    • 3042772564 scopus 로고    scopus 로고
    • Long-time existence for small data nonlinear Klein-Gordon equations on tori and spheres
    • J.-M. Delort and J. Szeftel, Long-time existence for small data nonlinear Klein-Gordon equations on tori and spheres, Internat. Math. Res. Notices (2004), no. 37, 1897-1966.
    • (2004) Internat. Math. Res. Notices , Issue.37 , pp. 1897-1966
    • Delort, J.-M.1    Szeftel, J.2
  • 11
    • 33646611421 scopus 로고
    • The spectrum of positive elliptic operators and periodic bicharacteristics
    • J. Duistermaat and V. Guillemin, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. Math. 29 (1975), 39-79.
    • (1975) Invent. Math. , vol.29 , pp. 39-79
    • Duistermaat, J.1    Guillemin, V.2
  • 12
    • 84972548521 scopus 로고
    • Lectures on spectral theory of elliptic operators
    • V. Guillemin, Lectures on spectral theory of elliptic operators. Duke Math. J. 44 (1977), 485-517.
    • (1977) Duke Math. J. , vol.44 , pp. 485-517
    • Guillemin, V.1
  • 14
    • 84990623722 scopus 로고
    • Normal forms and quadratic nonlinear Klein-Gordon equations
    • J. Shatah, Normal forms and quadratic nonlinear Klein-Gordon equations, Comm. Pure Appl. Math. 38 (1985), 685-696.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 685-696
    • Shatah, J.1
  • 15
    • 84972551645 scopus 로고
    • Asymptotics of eigenvalue clusters for the Laplacian plus a potential
    • A. Weinstein, Asymptotics of eigenvalue clusters for the Laplacian plus a potential. Duke Math. J. 44 (1977). 883-892.
    • (1977) Duke Math. J. , vol.44 , pp. 883-892
    • Weinstein, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.