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Volumn 189, Issue 1, 1997, Pages 73-105

Global existence of small solutions to a relativistic nonlinear Schrödinger equation

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EID: 0009101525     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050191     Document Type: Article
Times cited : (223)

References (13)
  • 1
    • 0001062105 scopus 로고
    • Dynamic modulation of an ultrashort high-intensily laser pulse in matter
    • Borovskii, A.V., Galkin, A.L.: Dynamic modulation of an ultrashort high-intensily laser pulse in matter. JETP 77, 4, 562-573 (1993)
    • (1993) JETP , vol.77 , Issue.4 , pp. 562-573
    • Borovskii, A.V.1    Galkin, A.L.2
  • 2
    • 0009102893 scopus 로고
    • Sur une équation de Schrödinger non linéaire en physique relativiste
    • Série I
    • de Bouard, A., Hayashi, N., Saut, J.C.: Sur une équation de Schrödinger non linéaire en physique relativiste. C. R. Acad. Sci. Paris 321, Série I, 175-178 (1995)
    • (1995) C. R. Acad. Sci. Paris , vol.321 , pp. 175-178
    • De Bouard, A.1    Hayashi, N.2    Saut, J.C.3
  • 3
    • 0001177894 scopus 로고
    • Relativistic and ponderomotive self-focusing of a laser beam in a radially inhomogeneous plasma. I. Paraxial approximation
    • Brandi, H.S., Manus, C., Mainfray, G., Lehner, T., Bonnaud, G.: Relativistic and ponderomotive self-focusing of a laser beam in a radially inhomogeneous plasma. I. Paraxial approximation. Phys. Fluids B 5, 10, 3539-3550 (1993)
    • (1993) Phys. Fluids B , vol.5 , Issue.10 , pp. 3539-3550
    • Brandi, H.S.1    Manus, C.2    Mainfray, G.3    Lehner, T.4    Bonnaud, G.5
  • 5
    • 0000358801 scopus 로고
    • Necessary and sufficient conditions for self-focusing of short ultraintense laser pulse in underdense plasma
    • Chen, X.L., Sudan, R.N.: Necessary and sufficient conditions for self-focusing of short ultraintense laser pulse in underdense plasma. Phys. Rev. Let. 70, 14, 2082-2085 (1993)
    • (1993) Phys. Rev. Let. , vol.70 , Issue.14 , pp. 2082-2085
    • Chen, X.L.1    Sudan, R.N.2
  • 6
    • 0000867764 scopus 로고
    • Local existence for semilinear Schrödinger equations in one space dimension
    • Chihara, H.: Local existence for semilinear Schrödinger equations in one space dimension. J. Math. Kyoto Univ. 34, 353-367 (1994)
    • (1994) J. Math. Kyoto Univ. , vol.34 , pp. 353-367
    • Chihara, H.1
  • 7
    • 84972525950 scopus 로고
    • Remarks on nonlinear Schrödinger equations in one space dimension
    • Hayashi, N., Ozawa, T.: Remarks on nonlinear Schrödinger equations in one space dimension. Diff. and Integral Eqs. 7, (1994), pp. 453-461.
    • (1994) Diff. and 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
    • Hayashi, N., Ozawa, T.: Global, small radially symmetric solutions to nonlinear Schrödinger equations and a gauge transformation. Diff. and Integral Eqs. 8, 1061-1072 (1995)
    • (1995) Diff. and Integral Eqs. , vol.8 , pp. 1061-1072
    • Hayashi, N.1    Ozawa, T.2
  • 9
    • 84972530624 scopus 로고
    • Stability and instability of solitary waves for one-dimensional singular Schrödinger equations
    • Iliev, I.D., Kirchev, K.P.: Stability and instability of solitary waves for one-dimensional singular Schrödinger equations. Diff. Int. Eq. 6, 685-703 (1993)
    • (1993) Diff. Int. Eq. , vol.6 , pp. 685-703
    • Iliev, I.D.1    Kirchev, K.P.2
  • 10
    • 84990619712 scopus 로고
    • Global, small amplitude solutions to nonlinear evolution equations
    • Klainerman, S., Ponce, G.: Global, small amplitude solutions to nonlinear evolution equations. Comm. Pure Appl. Math. 36, 133-141 (1983)
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 133-141
    • Klainerman, S.1    Ponce, G.2
  • 11
    • 0000205519 scopus 로고
    • Relativistic self-focusing and channel formation in laser-plasma interactions
    • Ritchie, B.: Relativistic self-focusing and channel formation in laser-plasma interactions. Phys. Rev. E 50, 2, 687-689 (1994)
    • (1994) Phys. Rev. E , vol.50 , Issue.2 , pp. 687-689
    • Ritchie, B.1
  • 12
    • 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. Eq. 46, 409-425 (1982)
    • (1982) J. Diff. Eq. , vol.46 , pp. 409-425
    • Shatah, J.1
  • 13
    • 0001393026 scopus 로고
    • The Cauchy problem for the Ishimori equations
    • Soyeur, A.: The Cauchy problem for the Ishimori equations. J. Funct. Anal. 105, 232-255 (1992)
    • (1992) J. Funct. Anal. , vol.105 , pp. 232-255
    • Soyeur, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.