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Volumn 32, Issue 3, 1996, Pages 445-471

The initial value problem for cubic semilinear Schrödinger equations

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EID: 21444456730     PISSN: 00345318     EISSN: 16634926     Source Type: Journal    
DOI: 10.2977/prims/1195162851     Document Type: Article
Times cited : (22)

References (20)
  • 1
    • 0000867764 scopus 로고
    • Local existence for the semilinear Schrödinger equations in one space dimension
    • Chihara, H., Local existence for the semilinear Schrödinger equations in one space dimension, J. Math Kyoto Univ., 34(1994), 353-367.
    • (1994) J. Math Kyoto Univ. , vol.34 , pp. 353-367
    • Chihara, H.1
  • 2
    • 0002738813 scopus 로고
    • Local existence for semilinear Schrödinger equations
    • _, Local existence for semilinear Schrödinger equations, Math. Japon., 42(1995), 35-52.
    • (1995) Math. Japon. , vol.42 , pp. 35-52
  • 3
    • 85008112678 scopus 로고
    • Global existence of small solutions to seminear Schrödinger equations with gauge invariance
    • _, Global existence of small solutions to seminear Schrödinger equations with gauge invariance, Publ. RIMS, 31(1995), 731-753.
    • (1995) Publ. RIMS , vol.31 , pp. 731-753
  • 4
    • 0001356194 scopus 로고    scopus 로고
    • Global existence of small solutions to semilinear Schrödinger equations
    • _, Global existence of small solutions to semilinear Schrödinger equations, Comm. P. D. E., 21(1996), 63-78.
    • (1996) Comm. P. D. E. , vol.21 , pp. 63-78
  • 5
    • 0000278560 scopus 로고
    • On the Cauchy problem for Schrödinger type equations and the regularity of the solutions
    • Doi, S., On the Cauchy problem for Schrödinger type equations and the regularity of the solutions. J. Math. Kyoto Univ., 34(1994), 319-328.
    • (1994) J. Math. Kyoto Univ. , vol.34 , pp. 319-328
    • Doi, S.1
  • 6
    • 0007206598 scopus 로고
    • Global existence of small solutions to quadratic nonlinear Schrödinger equations
    • Hayashi, N., Global existence of small solutions to quadratic nonlinear Schrödinger equations, Comm. P. D. E., 18(1993), 1109-1124.
    • (1993) Comm. P. D. E. , vol.18 , pp. 1109-1124
    • Hayashi, N.1
  • 7
    • 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., 7(1994), 453-461.
    • (1994) Diff. Integral Eqs. , vol.7 , pp. 453-461
    • Hayashi, N.1    Ozawa, T.2
  • 8
    • 84972513512 scopus 로고
    • Global, small radially symmetric solutions to nonlinear Schrödinger equations and a gauge transformation
    • _, Global, small radially symmetric solutions to nonlinear Schrödinger equations and a gauge transformation, Diff. Integral Eqs., 8(1995), 1061-1072.
    • (1995) Diff. Integral Eqs. , vol.8 , pp. 1061-1072
  • 10
    • 0001394681 scopus 로고
    • Global existence of solutions for nonlinear Schrödinger equations in one space dimension
    • Katayama, S. and Tsutsumi Y., Global existence of solutions for nonlinear Schrödinger equations in one space dimension, Comm. P. D. E., 19(1994), 1971-1997.
    • (1994) Comm. P. D. E. , vol.19 , pp. 1971-1997
    • Katayama, S.1    Tsutsumi, Y.2
  • 11
    • 84894536209 scopus 로고
    • Small solutions to nonlinear Schrödinger equations
    • Kenig, C. E., Ponce, G. and Vega, L., Small solutions to nonlinear Schrödinger equations, Ann. I. H. P. Non. Lin., 10(1993), 255-288.
    • (1993) Ann. I. H. P. Non. Lin. , vol.10 , pp. 255-288
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 12
    • 84980178173 scopus 로고
    • Global existence for nonlinear wave equations
    • Klainerman, S., Global existence for nonlinear wave equations, Comm. Pure Appl. Math., 33 (1980), 43-101.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 43-101
    • Klainerman, S.1
  • 13
    • 84990619712 scopus 로고
    • Global, small amplitude solutions to nonlinear evolution equations
    • Klainerman, S., and Ponce, G., 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
  • 16
    • 0000388191 scopus 로고
    • A rapidly convergent interaction method and non-linear partial differential equations-I
    • Moser, J., A rapidly convergent interaction method and non-linear partial differential equations-I, Ann. Sc. Norm. Sup. Pisa (3), 20(1966), 265-315.
    • (1966) Ann. Sc. Norm. Sup. Pisa (3) , vol.20 , pp. 265-315
    • Moser, J.1
  • 17
    • 0000973918 scopus 로고
    • On elliptic partial differential equations
    • Nirenberg, L., On elliptic partial differential equations, Ann Sc. Norm. Sup. Pisa (3) , 13 (1959), 115-162.
    • (1959) Ann Sc. Norm. Sup. Pisa (3) , vol.13 , pp. 115-162
    • Nirenberg, L.1
  • 18
    • 0000162808 scopus 로고
    • Remarks on quadratic nonlinear Schrödinger equations
    • Ozawa, T., Remarks on quadratic nonlinear Schrödinger equations. Funkcial. Ekvac., 38 (1995), 217-232.
    • (1995) Funkcial. Ekvac. , vol.38 , pp. 217-232
    • Ozawa, T.1
  • 19
    • 0001152880 scopus 로고
    • Global existence of small solutions to nonlinear evolution equations
    • Shatah, J., Global existence of small solutions to nonlinear evolution equations, J. Diff. Eqs., 46 (1982), 409-425.
    • (1982) J. Diff. Eqs. , vol.46 , pp. 409-425
    • Shatah, J.1
  • 20
    • 0001393026 scopus 로고
    • The Cauchy problem for the Ishimori equations
    • Soyeur, A., The Cauchy problem for the Ishimori equations, J. Funct. Anal., 105 (1992) , 233-255.
    • (1992) J. Funct. Anal. , vol.105 , pp. 233-255
    • Soyeur, A.1


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