메뉴 건너뛰기




Volumn 1, Issue 2, 2000, Pages 341-384

On the initial value problem for the Ishimori system

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034347247     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001008     Document Type: Article
Times cited : (14)

References (27)
  • 1
    • 0001231291 scopus 로고
    • Nonlinear evolution equations in two and three dimensions
    • Ablowitz, M. J., and Haberman, R., Nonlinear evolution equations in two and three dimensions, Phys. Rev. Lett. 35 1185-1188 (1975).
    • (1975) Phys. Rev. Lett. , vol.35 , pp. 1185-1188
    • Ablowitz, M.J.1    Haberman, R.2
  • 3
    • 21444456730 scopus 로고    scopus 로고
    • The initial value problem semilinear Schrödinger equations
    • Chihara, H., The initial value problem semilinear Schrödinger equations, Publ. RIMS. Kyoto Univ. 32, 445-471 (1996).
    • (1996) Publ. RIMS. Kyoto Univ. , vol.32 , pp. 445-471
    • Chihara, H.1
  • 4
    • 84968508844 scopus 로고
    • Local smoothing properties of dispersive equations
    • Constantin, P. and Saut, J. C., Local smoothing properties of dispersive equations, J. Amer. Math. Soc. 1, 413-446 (1989).
    • (1989) J. Amer. Math. Soc. , vol.1 , pp. 413-446
    • Constantin, P.1    Saut, J.C.2
  • 5
    • 84990700842 scopus 로고
    • Microlocal dispersive smoothing for the Schrödinger equation
    • Craig, W., Kappeler T., and Strauss, W., Microlocal dispersive smoothing for the Schrödinger equation, Comm. Pure Appl. Math. 48, 769-860 (1995).
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 769-860
    • Craig, W.1    Kappeler, T.2    Strauss, W.3
  • 6
    • 0000541374 scopus 로고
    • On three dimensional packets of surface waves
    • Davey, A., and Stewartson, K., On three dimensional packets of surface waves, Proc. R. Soc. A 338, 101-110 (1974).
    • (1974) Proc. R. Soc. A , vol.338 , pp. 101-110
    • Davey, A.1    Stewartson, K.2
  • 7
    • 0017471194 scopus 로고
    • On two-dimensional packets of capillarity-gravity waves
    • Djordjevic, V. D., and Redekopp, L. P., On two-dimensional packets of capillarity-gravity waves, J. Fluid Mech. 79, 703-714 (1977).
    • (1977) J. Fluid Mech. , vol.79 , pp. 703-714
    • Djordjevic, V.D.1    Redekopp, L.P.2
  • 8
    • 0002604507 scopus 로고    scopus 로고
    • Remarks on the Cauchy problem for Schrödinger type equations
    • Doi, S., Remarks on the Cauchy problem for Schrödinger type equations, Comm. P.D.E. 21, 163-178 (1996).
    • (1996) Comm. P.D.E. , vol.21 , pp. 163-178
    • Doi, S.1
  • 9
    • 0348090464 scopus 로고
    • On the initial value problem for the Davey- Stewartson system
    • Ghidaglia, J. M., and Saut, J. C., On the initial value problem for the Davey- Stewartson System, Nonlinearity 3, 475-506 (1990).
    • (1990) Nonlinearity , vol.3 , pp. 475-506
    • Ghidaglia, J.M.1    Saut, J.C.2
  • 11
    • 84972525950 scopus 로고
    • Remarks on nonlinear Schrödinger equations in one space dimension
    • Hayashi, N., and Ozawa, T., Remarks on nonlinear Schrödinger equations in one space dimension, Diff. Integral Eqs 2, 453-461 (1994).
    • (1994) Diff. Integral Eqs , vol.2 , pp. 453-461
    • Hayashi, N.1    Ozawa, T.2
  • 12
    • 84972513603 scopus 로고
    • Global existence of small solutions to the Davey-Stewartson and the Ishimori systems
    • Hayashi, N., and Saut, J-C., Global existence of small solutions to the Davey-Stewartson and the Ishimori systems, Diff. Integral Eqs 8, 1657-1675 (1995).
    • (1995) Diff. Integral Eqs , vol.8 , pp. 1657-1675
    • Hayashi, N.1    Saut, J.-C.2
  • 14
    • 0002119151 scopus 로고
    • Multi vortex solutions of a two dimensional nonlinear wave equation
    • Ishimori, Y., Multi vortex solutions of a two dimensional nonlinear wave equation, Progr. Theor. Phys. 72, 33-37 (1984).
    • (1984) Progr. Theor. Phys. , vol.72 , pp. 33-37
    • Ishimori, Y.1
  • 15
    • 0002362136 scopus 로고
    • On the Cauchy problem for the (generalized) Korteweg-de Vries equation
    • Kato, T., On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Advances in Math. Supp. Studies, Studies in Applied Math. 8, 93-128 (1983).
    • (1983) Advances in Math. Supp. Studies, Studies in Applied Math. , vol.8 , pp. 93-128
    • Kato, T.1
  • 16
    • 84894536209 scopus 로고
    • Small solutions to nonlinear Schrödinger equations
    • Kenig, C. E., Ponce, G., and Vega, L., Small solutions to nonlinear Schrödinger equations, Annales de l'I.H.P. 10, 255-288 (1993).
    • (1993) Annales de l'I.H.P. , vol.10 , pp. 255-288
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 17
    • 0002230538 scopus 로고    scopus 로고
    • Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
    • to appear
    • Kenig, C. E., Ponce, G. and Vega, L., Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations, to appear in Inventiones Math
    • Inventiones Math
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 18
    • 0001445787 scopus 로고
    • Inverse spectral transform for the nonlinear evolution equation generating the Davey-Stewartson and Ishimori equations
    • Konopelchenko, B. G., and Matkarimov, B. T., Inverse spectral transform for the nonlinear evolution equation generating the Davey-Stewartson and Ishimori equations, Stud. Appl. Math. 82, 319-359 (1990).
    • (1990) Stud. Appl. Math. , vol.82 , pp. 319-359
    • Konopelchenko, B.G.1    Matkarimov, B.T.2
  • 21
    • 0001679726 scopus 로고
    • Regularity of solutions to the Schröding;er equations
    • Sjölin, P., Regularity of solutions to the Schröding;er equations, Duke Math. J. 55, 699-715 (1987).
    • (1987) Duke Math. J. , vol.55 , pp. 699-715
    • Sjölin, P.1
  • 22
    • 0001393026 scopus 로고
    • The Cauchy problem for the Ishimori equations
    • Souyer, A., The Cauchy problem for the Ishimori equations, J. Funct. Anal. 105, 233-255 (1992).
    • (1992) J. Funct. Anal. , vol.105 , pp. 233-255
    • Souyer, A.1
  • 23
    • 0030578296 scopus 로고    scopus 로고
    • The Cauchy problem for the Ishimori equation
    • Sung, L.-Y., The Cauchy problem for the Ishimori equation, J. Funct. Anal. 139, 29-67 (1996).
    • (1996) J. Funct. Anal. , vol.139 , pp. 29-67
    • Sung, L.-Y.1
  • 24
    • 0002355984 scopus 로고
    • On the continuous limit for a system of classical spins
    • Sulem, P.L., Sulem, C., and Bardos, C., On the continuous limit for a system of classical spins, Comm. Math. Phys. 107, 431-454 (1986).
    • (1986) Comm. Math. Phys. , vol.107 , pp. 431-454
    • Sulem, P.L.1    Sulem, C.2    Bardos, C.3
  • 25
    • 0000801121 scopus 로고
    • The Schrödinger equation pointwise convergence to the initial data
    • Vega, L., The Schrödinger equation pointwise convergence to the initial data, Proc. Amer. Math. Soc. 102, 874-878 (1988).
    • (1988) Proc. Amer. Math. Soc. , vol.102 , pp. 874-878
    • Vega, L.1
  • 26
    • 0003005007 scopus 로고
    • Multi-scale expansions in the theory of systems integrable by the inverse scattering method
    • Zakharov, V. E., and Kuznetson, E. A., Multi-scale expansions in the theory of systems integrable by the inverse scattering method, Physica D 18, 455-463 (1986).
    • (1986) Physica D , vol.18 , pp. 455-463
    • Zakharov, V.E.1    Kuznetson, E.A.2
  • 27
    • 0000071824 scopus 로고
    • Degenerated dispersion laws, motion invariant and kinetic equations
    • Zakharov, V. E., and Schulman, E. I., Degenerated dispersion laws, motion invariant and kinetic equations, Physica 1D, 185-250 (1980).
    • (1980) Physica , vol.1 D , pp. 185-250
    • Zakharov, V.E.1    Schulman, E.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.