메뉴 건너뛰기




Volumn 33, Issue 3, 2004, Pages 719-729

Nonlinear schrödinger equations with stark potential

Author keywords

Avron Herbst formula; Finite time blow up; Nonlinear Schr dinger equations; Pseudo conformal conservation law; Stark effect

Indexed keywords


EID: 85019485429     PISSN: 03854035     EISSN: None     Source Type: Journal    
DOI: 10.14492/hokmj/1285851920     Document Type: Article
Times cited : (28)

References (26)
  • 1
    • 0036025581 scopus 로고    scopus 로고
    • Remarks on nonlinear Schrödinger equations with harmonic potential
    • Carles R., Remarks on nonlinear Schrödinger equations with harmonic potential, Ann. Henri Poincaré 3 (4) (2002), 757-772.
    • (2002) Ann. Henri Poincaré , vol.3 , Issue.4 , pp. 757-772
    • Carles, R.1
  • 2
    • 1542282092 scopus 로고    scopus 로고
    • Nonlinear Schrödinger equations with repulsive harmonic potential and applications
    • Carles R., Nonlinear Schrödinger equations with repulsive harmonic potential and applications, SIAM J. Math. Anal. 35 (4) (2003), 823-843.
    • (2003) SIAM J. Math. Anal , vol.35 , Issue.4 , pp. 823-843
    • Carles, R.1
  • 3
    • 10244274212 scopus 로고    scopus 로고
    • Semiclassical Nonlinear Schrödinger equations with potential and focusing initial data, to appear in Osaka
    • Carles R. and Miller L., Semiclassical Nonlinear Schrödinger equations with potential and focusing initial data, to appear in Osaka. J. Math. 41 (3) (2004).
    • (2004) J. Math , vol.41 , Issue.3
    • Carles, R.1    Miller, L.2
  • 4
    • 0003197180 scopus 로고
    • An introduction to nonlinear Schrödinger equations
    • Univ. Fed. Rio de Jan
    • Cazenave T., An introduction to nonlinear Schrödinger equations, Text. Met. Mat., vol. 26, Univ. Fed. Rio de Jan., 1993.
    • (1993) Text. Met. Mat. , vol.26
    • Cazenave, T.1
  • 5
    • 0002119090 scopus 로고
    • Rapidly decaying solutions of nonlinear Schrödinger equations
    • Cazenave T. and Weissler F.B., Rapidly decaying solutions of nonlinear Schrödinger equations, Comm. Math. Phys. 147 (1) (1992), 75-100.
    • (1992) Comm. Math. Phys , vol.147 , Issue.1 , pp. 75-100
    • Cazenave, T.1    Weissler, F.B.2
  • 6
    • 0003794206 scopus 로고
    • Schrödinger operators with application to quantum mechanics and global geometry, study
    • Springer-Verlag, Berlin
    • Cycon H.L., Froese R.G., Kirsch W. and Simon B., Schrödinger operators with application to quantum mechanics and global geometry, study ed., Texts and Monographs in Physics, Springer-Verlag, Berlin, 1987.
    • (1987) Texts and Monographs in Physics
    • Cycon, H.L.1    Froese, R.G.2    Kirsch, W.3    Simon, B.4
  • 7
    • 84972492568 scopus 로고
    • Nonlinear Schrödinger equations with magnetic fields
    • Bouard A. de, Nonlinear Schrödinger equations with magnetic fields, Diff. Integral Equations 4 (1) (1991), 73-88.
    • (1991) Diff. Integral Equations , vol.4 , Issue.1 , pp. 73-88
    • De Bouard, A.1
  • 9
    • 0002092503 scopus 로고    scopus 로고
    • An introduction to nonlinear Schrödinger equations
    • (Sapporo, 1995) (R. Agemi, Y. Giga, and T. Ozawa, eds.), GAKUTO International Series, Math. Sciences and Appl., Gakkötosho, Tokyo
    • Ginibre J., An introduction to nonlinear Schrödinger equations, Nonlinear waves (Sapporo, 1995) (R. Agemi, Y. Giga, and T. Ozawa, eds.), GAKUTO International Series, Math. Sciences and Appl., Gakkötosho, Tokyo, 1997, pp. 85-133.
    • (1997) Nonlinear Waves , pp. 85-133
    • Ginibre, J.1
  • 10
    • 0001232403 scopus 로고
    • On existence of the wave operators for a class of nonlinear Schrödinger equations
    • Ginibre J., Ozawa T. and Velo G., On existence of the wave operators for a class of nonlinear Schrödinger equations, Ann. Inst. H. Poincaré 60 (1994), 211-239.
    • (1994) Ann. Inst. H. Poincaré , vol.60 , pp. 211-239
    • Ginibre, J.1    Ozawa, T.2    Velo, G.3
  • 11
    • 49249140378 scopus 로고
    • On a class of nonlinear Schrödinger equations. II scattering theory, general case
    • Ginibre J. and Velo G., On a class of nonlinear Schrödinger equations. II scattering theory, general case, J. Funct. Anal. 32 (1979), 33-71.
    • (1979) J. Funct. Anal , vol.32 , pp. 33-71
    • Ginibre, J.1    Velo, G.2
  • 12
    • 0000462692 scopus 로고    scopus 로고
    • Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations
    • Hayashi N. and Naumkin P., Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations, Amer. J. Math. 120 (1998), 369-389.
    • (1998) Amer. J. Math , vol.120 , pp. 369-389
    • Hayashi, N.1    Naumkin, P.2
  • 13
    • 0001632163 scopus 로고    scopus 로고
    • Diffractive nonlinear geometric optics with rectification, Indiana Univ
    • Joly J.-L., Métivier G. and Rauch J., Diffractive nonlinear geometric optics with rectification, Indiana Univ. Math. J. 47 (4) (1998), 1167-1241.
    • (1998) Math. J , vol.47 , Issue.4 , pp. 1167-1241
    • Joly, J.-L.1    Métivier, G.2    Rauch, J.3
  • 14
    • 51249191546 scopus 로고
    • Schrödinger operators with singular potentials
    • Kato T., Schrödinger operators with singular potentials, Israel J. Math. 13 (1972), 135-148.
    • (1972) Israel J. Math , vol.13 , pp. 135-148
    • Kato, T.1
  • 15
    • 34249974409 scopus 로고
    • Uniqueness of positive solutions of Δu — u + uP = 0 in Rn
    • n, Arch. Rational Mech. Anal. 105 (3) (1989), 243-266.
    • (1989) Arch. Rational Mech. Anal , vol.105 , Issue.3 , pp. 243-266
    • Kwong, M.K.1
  • 16
    • 0003278684 scopus 로고    scopus 로고
    • Blow-up phenomena for critical nonlinear Schrödinger and Zakharov equations
    • Berlin, Extra Vol. Ill, 1998
    • Merle F., Blow-up phenomena for critical nonlinear Schrödinger and Zakharov equations, Proceedings of the International Congress of Mathematicians, Vol. 3 (Berlin, 1998), no. Extra Vol. Ill, 1998, pp. 57-66 (electronic).
    • (1998) Proceedings of the International Congress of Mathematicians , vol.3 , pp. 57-66
    • Merle, F.1
  • 17
    • 33645523120 scopus 로고    scopus 로고
    • Local solvability and smoothing effects of nonlinear Schrödinger equations with magnetic fields
    • Nakamura Y., Local solvability and smoothing effects of nonlinear Schrödinger equations with magnetic fields, Funkcial Ekvac. 44 (1) (2001), 1-18.
    • (2001) Funkcial Ekvac , vol.44 , Issue.1 , pp. 1-18
    • Nakamura, Y.1
  • 19
    • 0346386030 scopus 로고    scopus 로고
    • Remarks in scattering for nonlinear Schrödinger equations
    • Nakanishi K. and Ozawa T., Remarks in scattering for nonlinear Schrödinger equations, NoDEA 9 (2002), 603-621.
    • (2002) Nodea , vol.9 , pp. 603-621
    • Nakanishi, K.1    Ozawa, T.2
  • 20
    • 0001366166 scopus 로고
    • Long range scattering for nonlinear Schrödinger equations in one space dimension
    • Ozawa T., Long range scattering for nonlinear Schrödinger equations in one space dimension, Comm. Math. Phys. 139 (1991), 479-493.
    • (1991) Comm. Math. Phys , vol.139 , pp. 479-493
    • Ozawa, T.1
  • 21
    • 51249170811 scopus 로고
    • Nonexistence of wave operators for Stark effect Hamiltonians
    • Ozawa T., Nonexistence of wave operators for Stark effect Hamiltonians, Math. Z. 207 (3) (1991), 335-339.
    • (1991) Math. Z , vol.207 , Issue.3 , pp. 335-339
    • Ozawa, T.1
  • 22
    • 0041011116 scopus 로고
    • Space-time behavior of propagators for Schrödinger evolution equations with Stark effect
    • Ozawa T., Space-time behavior of propagators for Schrödinger evolution equations with Stark effect, J. Funct. Anal. 97 (2) (1991), 264-292.
    • (1991) J. Funct. Anal , vol.97 , Issue.2 , pp. 264-292
    • Ozawa, T.1
  • 23
    • 0000540347 scopus 로고
    • Existence of solitary waves in higher dimensions
    • Strauss W.A., Existence of solitary waves in higher dimensions, Comm. Math. Phys. 55 (2) (1977), 149-162.
    • (1977) Comm. Math. Phys , vol.55 , Issue.2 , pp. 149-162
    • Strauss, W.A.1
  • 25
    • 0035581924 scopus 로고    scopus 로고
    • Free fall of atomic laser beam with weak inter-atomic intercation
    • Tsurumi T. and Wadati M., Free fall of atomic laser beam with weak inter-atomic intercation, J. Phys. Soc. Japan 70 (1) (2001), 60-68.
    • (2001) J. Phys. Soc. Japan , vol.70 , Issue.1 , pp. 60-68
    • Tsurumi, T.1    Wadati, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.