메뉴 건너뛰기




Volumn 21, Issue 1-2, 1996, Pages 125-162

The blow-up problem for exponential nonlinearities

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000084014     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821177     Document Type: Article
Times cited : (30)

References (26)
  • 1
    • 0040695843 scopus 로고
    • Paracomposition et opérateurs paradifférentiels
    • S. Alinhac, Paracomposition et opérateurs paradifférentiels, Comm. PDE, 11 (1986) 87-121.
    • (1986) Comm. PDE , vol.11 , pp. 87-121
    • Alinhac, S.1
  • 2
    • 0011541063 scopus 로고
    • preprint #93-84, Orsay, Dec.
    • S. Alinhac, Explosion géométrique pour les systèmes quasi-linéaires, preprint #93-84, Orsay, Dec. 1993. See also: Temps de vie précisé et explosion géométrique pour des systèmes quasi-linéaires en dimension un d'espace, preprint #94-18, Orsay, March 1994.
    • (1993) Explosion Géométrique pour les Systèmes Quasi-linéaires
    • Alinhac, S.1
  • 5
    • 84967773646 scopus 로고
    • The blow-up boundary for nonlinear wave equations
    • L. Caffarelli and A. Friedman, The blow-up boundary for nonlinear wave equations, Trans. AMS 297 (1986) 223-241, and Differentiability of the blow-up curve for one-dimensional wave equations, Arch. Rat. Mech. Anal. 91 (1985) 83-98.
    • (1986) Trans. AMS , vol.297 , pp. 223-241
    • Caffarelli, L.1    Friedman, A.2
  • 6
    • 0002234036 scopus 로고
    • Differentiability of the blow-up curve for one-dimensional wave equations
    • L. Caffarelli and A. Friedman, The blow-up boundary for nonlinear wave equations, Trans. AMS 297 (1986) 223-241, and Differentiability of the blow-up curve for one-dimensional wave equations, Arch. Rat. Mech. Anal. 91 (1985) 83-98.
    • (1985) Arch. Rat. Mech. Anal. , vol.91 , pp. 83-98
  • 7
    • 43949163593 scopus 로고
    • Singularity formation for complex solutions of the 3D incompressible Euler equations
    • R. E. Caflisch, Singularity formation for complex solutions of the 3D incompressible Euler equations, Physica D, 67 (1993) 1-18; see also the paper by Caflisch et al. in Comm. Pure and Appl. Math, 46 (1993) 453-499, and their references.
    • (1993) Physica D , vol.67 , pp. 1-18
    • Caflisch, R.E.1
  • 8
    • 84990617881 scopus 로고
    • and their references
    • R. E. Caflisch, Singularity formation for complex solutions of the 3D incompressible Euler equations, Physica D, 67 (1993) 1-18; see also the paper by Caflisch et al. in Comm. Pure and Appl. Math, 46 (1993) 453-499, and their references.
    • (1993) Comm. Pure and Appl. Math , vol.46 , pp. 453-499
    • Caflisch1
  • 9
    • 84966236065 scopus 로고
    • The inverse function theorem of Nash and Moser
    • R. S. Hamilton, The inverse function theorem of Nash and Moser, Bull. AMS, 7 (1982) 65-222
    • (1982) Bull. AMS , vol.7 , pp. 65-222
    • Hamilton, R.S.1
  • 10
    • 0017190112 scopus 로고
    • The boundary problem of physical geodesy
    • L. Hörmander, The boundary problem of physical geodesy, Arch. Rat. Mech. Anal., 62 (1976) 1-52; see also: On the Nash-Moser implicit function theorem, Ann. Acad. Sci. Fenn., 10 (1985) 255-259.
    • (1976) Arch. Rat. Mech. Anal. , vol.62 , pp. 1-52
    • Hörmander, L.1
  • 11
    • 0017190112 scopus 로고
    • On the Nash-Moser implicit function theorem
    • L. Hörmander, The boundary problem of physical geodesy, Arch. Rat. Mech. Anal., 62 (1976) 1-52; see also: On the Nash-Moser implicit function theorem, Ann. Acad. Sci. Fenn., 10 (1985) 255-259.
    • (1985) Ann. Acad. Sci. Fenn. , vol.10 , pp. 255-259
  • 13
    • 0000376890 scopus 로고
    • The lifespan of classical solutions of non-linear hyperbolic equations
    • L. Hörmander, The lifespan of classical solutions of non-linear hyperbolic equations, Springer Lect. Notes in Math., 1256 (1986) 214-280.
    • (1986) Springer Lect. Notes in Math. , vol.1256 , pp. 214-280
    • Hörmander, L.1
  • 14
    • 0000774996 scopus 로고
    • Blow-up of solutions of nonlinear wave equations in three space dimensions
    • F. John, Blow-up of solutions of nonlinear wave equations in three space dimensions, Manus. Math., 18 (1979) 235-268.
    • (1979) Manus. Math. , vol.18 , pp. 235-268
    • John, F.1
  • 15
    • 84990555318 scopus 로고
    • Existence for large times of strict solutions of nonlinear wave equations in three space dimensions for small data
    • F. John, Existence for large times of strict solutions of nonlinear wave equations in three space dimensions for small data, Comm. Pure Appl. Math., 40 (1987) 79-109.
    • (1987) Comm. Pure Appl. Math. , vol.40 , pp. 79-109
    • John, F.1
  • 16
    • 0013208166 scopus 로고
    • Nonlinear wave equations, formation of singularities
    • AMS
    • F. John, Nonlinear wave equations, formation of singularities, University Lecture Series, vol. 2, (1990) AMS.
    • (1990) University Lecture Series , vol.2
    • John, F.1
  • 17
    • 0000269715 scopus 로고
    • Blow-up surfaces for nonlinear wave equations. I
    • S. Kichenassamy and W. Littman, Blow-up surfaces for nonlinear wave equations. I, Comm PDE, 18 No. 3&4 (1993) 431-452.
    • (1993) Comm PDE , vol.18 , Issue.3-4 , pp. 431-452
    • Kichenassamy, S.1    Littman, W.2
  • 18
    • 0000269715 scopus 로고
    • Blow-up surfaces for nonlinear wave equations. II
    • S. Kichenassamy and W. Littman, Blow-up surfaces for nonlinear wave equations. II: Comm. PDE, 18 No. 11 (1993) 1869-1899.
    • (1993) Comm. PDE , vol.18 , Issue.11 , pp. 1869-1899
    • Kichenassamy, S.1    Littman, W.2
  • 19
    • 0038918156 scopus 로고    scopus 로고
    • Fuchsian equations in Sobolev spaces and blow-up
    • S. Kichenassamy, Fuchsian equations in Sobolev spaces and blow-up, to appear in J. Diff. Eq.
    • J. Diff. Eq.
    • Kichenassamy, S.1
  • 21
    • 21844487067 scopus 로고
    • The structure of WTC expansions and applications
    • S. Kichenassamy and G. K. Srinivasan, The structure of WTC expansions and applications, J. Phys. A: Math. Gen. 28 : 7 (1995) 1977-2004.
    • (1995) J. Phys. A: Math. Gen. , vol.28 , Issue.7 , pp. 1977-2004
    • Kichenassamy, S.1    Srinivasan, G.K.2
  • 22
    • 84972920536 scopus 로고
    • p with small data
    • p with small data, Comm. PDE, 15 No. 6 (1990) 757-821.
    • (1990) Comm. PDE , vol.15 , Issue.6 , pp. 757-821
    • Lindblad, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.