메뉴 건너뛰기




Volumn 29, Issue 5, 1998, Pages 1256-1267

Scattering theory for the Hartree equation

Author keywords

Asymptotic behavior; Hartree equation; Scattering

Indexed keywords


EID: 0032349615     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141096312222     Document Type: Article
Times cited : (31)

References (22)
  • 2
    • 85088080445 scopus 로고
    • Global existence of solutions to the Cauchy problem for time dependent Schrödinger Hartree equations
    • J. P. CHADAM AND R. T. GLASSEY, Global existence of solutions to the Cauchy problem for time dependent Schrödinger Hartree equations, J. Math. Phys., 16 (1975), pp. 1211-1230.
    • (1975) J. Math. Phys. , vol.16 , pp. 1211-1230
    • Chadam, J.P.1    Glassey, R.T.2
  • 3
    • 0040522777 scopus 로고    scopus 로고
    • 3 AS, 8 (1997), pp. 1051-1083.
    • (1997) 3 AS , vol.8 , pp. 1051-1083
    • Castella, F.1
  • 4
    • 0040116540 scopus 로고
    • Conservation laws and time decay for the solutions of some nonlinear Schrödinger-Hartree equations and systems
    • J. P. DIAS AND M. FIGUEIRA, Conservation laws and time decay for the solutions of some nonlinear Schrödinger-Hartree equations and systems, J. Math. Anal. Appl., 84 (1981), pp. 486-508.
    • (1981) J. Math. Anal. Appl. , vol.84 , pp. 486-508
    • Dias, J.P.1    Figueira, M.2
  • 6
    • 0001632973 scopus 로고
    • Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension n > 2
    • J. GINIBRE AND T. OZAWA, Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension n > 2, Comm. Math. Phys., 151 (1993), pp. 619-645.
    • (1993) Comm. Math. Phys. , vol.151 , pp. 619-645
    • Ginibre, J.1    Ozawa, T.2
  • 7
    • 0007327120 scopus 로고
    • Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations
    • R. T. GLASSEY, Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations, Comm. Math. Phys., 53 (1977), pp. 9-18.
    • (1977) Comm. Math. Phys. , vol.53 , pp. 9-18
    • Glassey, R.T.1
  • 8
    • 0001522967 scopus 로고
    • On a class of nonlinear Schrödinger equations with non-local interactions
    • J. GINIBRE AND G. VELO, On a class of nonlinear Schrödinger equations with non-local interactions, Math. Z., 170 (1980), pp. 109-136.
    • (1980) Math. Z. , vol.170 , pp. 109-136
    • Ginibre, J.1    Velo, G.2
  • 9
    • 38249030676 scopus 로고
    • Asymptotic behavior of solutions to time-dependent Hartree equations
    • N. HAYASHI, Asymptotic behavior of solutions to time-dependent Hartree equations, Nonlinear Anal., 12 (1988), pp. 313-319.
    • (1988) Nonlinear Anal. , vol.12 , pp. 313-319
    • Hayashi, N.1
  • 10
    • 0000462692 scopus 로고    scopus 로고
    • Asymptotics for large time behavior of solutions to the non-linear Schrödinger and Hartree equations
    • N. HAYASHI AND P. I. NAUMKIN, Asymptotics for large time behavior of solutions to the non-linear Schrödinger and Hartree equations, Amer. J. Math., 120 (1998), pp. 369-389.
    • (1998) Amer. J. Math. , vol.120 , pp. 369-389
    • Hayashi, N.1    Naumkin, P.I.2
  • 11
    • 0039582645 scopus 로고
    • Time decay of solutions to the Cauchy problem for time-dependent Schrödinger-Hartree equations
    • N. HAYASHI AND T. OZAWA, Time decay of solutions to the Cauchy problem for time-dependent Schrödinger-Hartree equations, Comm. Math. Phys., 110 (1987), pp. 467-478.
    • (1987) Comm. Math. Phys. , vol.110 , pp. 467-478
    • Hayashi, N.1    Ozawa, T.2
  • 13
    • 0039582650 scopus 로고
    • Time decay for some Schrödinger equations
    • N. HAYASHI AND T. OZAWA, Time decay for some Schrödinger equations, Math. Z., 200 (1989), pp. 467-483.
    • (1989) Math. Z. , vol.200 , pp. 467-483
    • Hayashi, N.1    Ozawa, T.2
  • 15
    • 0040768214 scopus 로고
    • The Cauchy problem for Hartree type Schrödinger equation in weighted Sobolev space
    • H. HIRATA, The Cauchy problem for Hartree type Schrödinger equation in weighted Sobolev space, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 38 (1991), pp. 567-588.
    • (1991) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.38 , pp. 567-588
    • Hirata, H.1
  • 16
    • 84972500740 scopus 로고
    • Large time behavior of solutions for Hartree equation with long range interaction
    • H. HIRATA, Large time behavior of solutions for Hartree equation with long range interaction, Tokyo J. Math., 18 (1995), pp. 167-177.
    • (1995) Tokyo J. Math. , vol.18 , pp. 167-177
    • Hirata, H.1
  • 17
    • 84990553608 scopus 로고
    • Well-posedness and scattering results for the generalized Korteweg-de Vries equation via contraction principle
    • C. E. KENIG, G. PONCE, AND L. VEGA, Well-posedness and scattering results for the generalized Korteweg-de Vries equation via contraction principle, Comm. Pure Appl. Math., 46 (1993), pp. 527-620.
    • (1993) Comm. Pure Appl. Math. , vol.46 , pp. 527-620
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 18
    • 17444448101 scopus 로고    scopus 로고
    • Scaling limits in the 3-D Schrödinger-Poisson system
    • J. L. LOPEZ AND J. SOLER, Scaling limits in the 3-D Schrödinger-Poisson system, Appl. Math. Lett., 5 (1997), pp. 61-65.
    • (1997) Appl. Math. Lett. , vol.5 , pp. 61-65
    • Lopez, J.L.1    Soler, J.2
  • 20
    • 0001178744 scopus 로고
    • Nonlinear scattering with nonlocal interaction
    • H. NAWA AND T. OZAWA, Nonlinear scattering with nonlocal interaction, Comm. Math. Phys., 146 (1992), pp. 259-275.
    • (1992) Comm. Math. Phys. , vol.146 , pp. 259-275
    • Nawa, H.1    Ozawa, T.2
  • 21
    • 0003201639 scopus 로고
    • Singular integral and differentiability properties of functions
    • Princeton University Press, Princeton, NJ
    • E. M. STEIN, Singular Integral and Differentiability Properties of Functions, Princeton Math. Ser. 30, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Princeton Math. Ser. , vol.30
    • Stein, E.M.1
  • 22
    • 0002738093 scopus 로고    scopus 로고
    • Asymptotic behavior of the solutions of the Hartree type equations
    • T. WADA, Asymptotic behavior of the solutions of the Hartree type equations, Adv. Math. Sci. Appl., 6 (1996), pp. 67-77.
    • (1996) Adv. Math. Sci. Appl. , vol.6 , pp. 67-77
    • Wada, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.