메뉴 건너뛰기




Volumn 22, Issue 5-6, 1997, Pages 773-798

Global existence of small analytic solutions to schrödinger equations with quadratic nonlinearity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0007211645     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309708821283     Document Type: Article
Times cited : (14)

References (25)
  • 1
    • 0007211644 scopus 로고
    • Infinite order sobolev spaces, analytic continuation and polynomial expansions
    • H. Aikawa, Infinite order Sobolev spaces, analytic continuation and polynomial expansions, Complex Variables 18 (1992), 253-266.
    • (1992) Complex Variables , vol.18 , pp. 253-266
    • Aikawa, H.1
  • 2
    • 84972579233 scopus 로고
    • Isometrical identities for the bergman and the szegö spaces on a sector
    • H. Aikawa, N. Hayashi and S. Saitoh, Isometrical identities for the Bergman and the Szegö spaces on a sector. J.Math.Soc.Japan 43 (1991), 195-201.
    • (1991) J.math.soc.japan , vol.43 , pp. 195-201
    • Aikawa, H.1    Hayashi, N.2    Saitoh, S.3
  • 3
    • 84971851079 scopus 로고
    • Equations de schrödinger non linéaires en dimension deux
    • T. Cazenave, Equations de Schrödinger non linéaires en dimension deux, Proc. Roy. Soc. Edinburgh 84A (1979), 327-346.
    • (1979) Proc. Roy. Soc. Edinburgh , vol.84 A , pp. 327-346
    • Cazenave, T.1
  • 4
    • 85008112678 scopus 로고
    • Global existence of small solutions to semilinear schrödinger equations with gauge invariance
    • H. Chihara, Global existence of small solutions to semilinear Schrödinger equations with gauge invariance, Publ. RIMS 31 (1995), 731-753.
    • (1995) Publ. RIMS , vol.31 , pp. 731-753
    • Chihara, H.1
  • 5
    • 0001356194 scopus 로고    scopus 로고
    • Global existence of small solutions to semilinear schrödinger equations
    • H. Chihara, Global existence of small solutions to semilinear Schrödinger equations, Comm.in P.D.E 21 (1996), 63-78.
    • (1996) Comm.in P.D.E , vol.21 , pp. 63-78
    • Chihara, H.1
  • 6
    • 21444456730 scopus 로고    scopus 로고
    • The initial value problem for cubic semilinear schrödinger equations
    • H. Chihara, The initial value problem for cubic semilinear Schrödinger equations, Publ. RIMS 32 (1996), 445-471.
    • (1996) Publ. RIMS , vol.32 , pp. 445-471
    • Chihara, H.1
  • 7
    • 84990576529 scopus 로고    scopus 로고
    • Resonance and long time existence for the quadratic semilinear schrödinger equation
    • S. Cohn, Resonance and long time existence for the quadratic semilinear Schrödinger equation, Comm. Pure Appl. Math. 45, 973-1001.
    • Comm. Pure Appl. Math. , vol.45 , pp. 973-1001
    • Cohn, S.1
  • 8
    • 0039095104 scopus 로고
    • Global solvability for the degenerate kirchhoff equation with real analytic data
    • P. D'Ancona and S. Spagnolo, Global solvability for the degenerate Kirchhoff equation with real analytic data, Invent. Math. 108 (1992), 253-277.
    • (1992) Invent. Math. , vol.108 , pp. 253-277
    • D'Ancona, P.1    Spagnolo, S.2
  • 10
    • 0000278560 scopus 로고
    • On the cauchy problem for schrödinger type equations and the regularity of solutions
    • S. Doi, On the Cauchy problem for Schrödinger type equations and the regularity of solutions, J. Math. Kyoto Univ. 34 (1994), 319-328.
    • (1994) J. Math. Kyoto Univ. , vol.34 , pp. 319-328
    • Doi, S.1
  • 12
    • 51249166038 scopus 로고
    • Almost global existence of small solutions to quadratic nonlinear schrödinger equations in three space dimensions
    • J. Ginibre and N. Hayashi, Almost global existence of small solutions to quadratic nonlinear Schrödinger equations in three space dimensions, Math. Z. 219 (1995), 119-140.
    • (1995) Math. Z. , vol.219 , pp. 119-140
    • Ginibre, J.1    Hayashi, N.2
  • 13
    • 0007206598 scopus 로고
    • Global existence of small solutions to quadratic nonlinear schrödinger equations
    • N. Hayashi, Global existence of small solutions to quadratic nonlinear Schrödinger equations, Comm. In P.D.E. 18 (1993), 1109-1124.
    • (1993) Comm. In P.D.E. , vol.18 , pp. 1109-1124
    • Hayashi, N.1
  • 14
    • 0007271061 scopus 로고    scopus 로고
    • Global and almost global solutions to quadratic nonlinear schrödinger equations with small initial data
    • N. Hayashi, Global and almost global solutions to quadratic nonlinear Schrödinger equations with small initial data, Dynamics of Continuous, Discreate and Impulsive Systems 2 (1996), 109-129.
    • (1996) Dynamics of Continuous, Discreate and Impulsive Systems , vol.2 , pp. 109-129
    • Hayashi, N.1
  • 16
    • 0040873449 scopus 로고    scopus 로고
    • Globall existence of small solutions to nonlinear schrödinger equations
    • to appear
    • N. Hayashi and H. Hitara, Globall existence of small solutions to nonlinear Schrödinger equations, J Nonlinear Anal. T.M.A. (to appear).
    • J Nonlinear Anal. T.M.A.
    • Hayashi, N.1    Hitara, H.2
  • 17
    • 0000688654 scopus 로고
    • Regularity in time of solutions to nonlinear schrödinger equations
    • N. Hayashi and K. Kato, Regularity in time of solutions to nonlinear Schrödinger equations, J. Funct. Anal. 128 (1995), 253-277.
    • (1995) J. Funct. Anal. , vol.128 , pp. 253-277
    • Hayashi, N.1    Kato, K.2
  • 20
    • 0001969794 scopus 로고
    • Oscillatory integral and regularity of dispersive equations
    • C.E. Kenig, G. Ponce and L. Vega, Oscillatory integral and regularity of dispersive equations, Indiana Univ. J. 40 (1991), 33-69.
    • (1991) Indiana Univ. J. , vol.40 , pp. 33-69
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 21
    • 84990602599 scopus 로고
    • Uniform decay estimate and the lorentz invariant of the classical wave equation
    • S. Klainerman, Uniform decay estimate and the Lorentz invariant of the classical wave equation, Comm. Pure Appl. Math. 38 (1985), 321-332.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 321-332
    • Klainerman, S.1
  • 22
    • 0000870142 scopus 로고
    • The null condition and global existence to nonlinear wave equations
    • S. Klainerman, The null condition and global existence to nonlinear wave equations, Lectures in Applied Math. 23 (1986), 293-327.
    • (1986) Lectures in Applied Math. , vol.23 , pp. 293-327
    • Klainerman, S.1
  • 23
    • 84990619712 scopus 로고
    • Global, small amplitude solutions to nonlinear evolution equations
    • S. Klainerman and G. Ponce, Global, small amplitude solutions to nonlinear evolution equations, Comm. Pure Appl. Math. 36 (1983), 133-141.
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 133-141
    • Klainerman, S.1    Ponce, G.2
  • 24
    • 0000162808 scopus 로고
    • Remarks on quadratic nonlinear schrödinger equations
    • T. Ozawa, Remarks on quadratic nonlinear Schrödinger equations, Funkcial. Ekvac. 38 (1995), 217-232.
    • (1995) Funkcial. Ekvac. , vol.38 , pp. 217-232
    • Ozawa, T.1
  • 25
    • 0001152880 scopus 로고
    • Global existence of small solutions to nonlinear evolution equations
    • J. Shatah, Global existence of small solutions to nonlinear evolution equations, J. Diff. Equations 46 (1982), 409-425.
    • (1982) J. Diff. Equations , vol.46 , pp. 409-425
    • Shatah, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.