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Volumn 358, Issue 5, 2006, Pages 2105-2122

Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity

Author keywords

Blowup; Ground state; Inhomogeneous nonlinearities; Nonlinear Schr dinger equation; Stability theory; Standing waves

Indexed keywords


EID: 33646708701     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-05-03763-3     Document Type: Article
Times cited : (61)

References (16)
  • 1
    • 0000817006 scopus 로고
    • Instabilityé des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires
    • MR0646873 (84f:35120)
    • Berestycki, H and Cazenave, T., Instabilityé des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires, C. R. Acad Sc. Paris, 293 (1981), 489-492. MR0646873 (84f:35120)
    • (1981) C. R. Acad Sc. Paris , vol.293 , pp. 489-492
    • Berestycki, H.1    Cazenave, T.2
  • 2
    • 0003197180 scopus 로고
    • An introduction to nonlinear Schrödinger equation
    • Instituto de Matemática, UFRJ, Rio de-Janeiro
    • Cazenave, T., An introduction to nonlinear Schrödinger equation, Textos de Métodos Matemaáticos 26 (1989), Instituto de Matemática, UFRJ, Rio de-Janeiro.
    • (1989) Textos de Métodos Matemaáticos , vol.26
    • Cazenave, T.1
  • 3
    • 0000090159 scopus 로고
    • Orbital stability of standing waves for some nonlinear Schrödinger equations
    • MR0677997 (841:81015)
    • Cazenave, T. and Lions, P. L., Orbital stability of standing waves for some nonlinear Schrödinger equations, Comm. Math. Phys., 85 (1982), 549-561. MR0677997 (841:81015)
    • (1982) Comm. Math. Phys. , vol.85 , pp. 549-561
    • Cazenave, T.1    Lions, P.L.2
  • 4
    • 0037437726 scopus 로고    scopus 로고
    • Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
    • MR1957907 (2003m:35225)
    • Fibich, G. and Wang, X. P., Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities, Physica D; 175, (2003) P96-108. MR1957907 (2003m:35225)
    • (2003) Physica D , vol.175
    • Fibich, G.1    Wang, X.P.2
  • 5
    • 0034313718 scopus 로고    scopus 로고
    • Optical guiding of laser beam in nonuniform plasma
    • Gill, T. S., Optical guiding of laser beam in nonuniform plasma, Pramana Journal of Physics, 55 (2000), 845-852.
    • (2000) Pramana Journal of Physics , vol.55 , pp. 845-852
    • Gill, T.S.1
  • 6
    • 49249148441 scopus 로고
    • On a class of nonlinear Schrödinger equations I, II. The Cauchy problem, general case
    • MR0533218 (82c:35057); MR0533219 (82c:35058)
    • Ginibre J. and Velo, G., On a class of nonlinear Schrödinger equations I, II. The Cauchy problem, general case, J. Func. Anal., 32 (1979), 1-71. MR0533218 (82c:35057); MR0533219 (82c:35058)
    • (1979) J. Func. Anal. , vol.32 , pp. 1-71
    • Ginibre, J.1    Velo, G.2
  • 7
    • 0346960813 scopus 로고
    • Instability of symmetric stationary states for some nonlinear Schrödinger equations with an external magnetic field
    • MR1128864 (921:35113)
    • Goncalves Rebeiro, J. M., Instability of symmetric stationary states for some nonlinear Schrödinger equations with an external magnetic field, Ann. Inst. Henri Poincaré Physique Théorique, 54 (1991), 403-433. MR1128864 (921:35113)
    • (1991) Ann. Inst. Henri Poincaré Physique Théorique , vol.54 , pp. 403-433
    • Goncalves Rebeiro, J.M.1
  • 8
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry, I
    • MR0901236 (88g:35169)
    • Grillakis, M., Shatah, J. and Strauss, W., Stability theory of solitary waves in the presence of symmetry, I, J. Funct. Anal. 74 (1987), 160-197. MR0901236 (88g:35169)
    • (1987) J. Funct. Anal. , vol.74 , pp. 160-197
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 10
    • 0031539724 scopus 로고    scopus 로고
    • Nonlinear stability of solitary waves of a generalized Kadomtsev-Petvishvili equation
    • MR1461958 (99b:35184)
    • Liu, Yue and Wang, X. P., Nonlinear stability of solitary waves of a generalized Kadomtsev-Petvishvili equation, Comm. Math. Phys. 183 (1997), 253-266. MR1461958 (99b:35184)
    • (1997) Comm. Math. Phys. , vol.183 , pp. 253-266
    • Liu, Y.1    Wang, X.P.2
  • 12
    • 0001420204 scopus 로고
    • Instability of nonlinear bound states
    • MR0804458 (87b:35159)
    • Shatah, J. and Strauss, W., Instability of nonlinear bound states, Comm. Math. Phys., 100 (1985), 173-190. MR0804458 (87b:35159)
    • (1985) Comm. Math. Phys. , vol.100 , pp. 173-190
    • Shatah, J.1    Strauss, W.2
  • 13
    • 0000686130 scopus 로고
    • Modulational stability of ground states of nonlinear Schrödinger equations
    • MR0783974 (861:35130)
    • Weinstein, M. I., Modulational stability of ground states of nonlinear Schrödinger equations, SIAM J. Math. Anal., 16 (1985), 472-491. MR0783974 (861:35130)
    • (1985) SIAM J. Math. Anal. , vol.16 , pp. 472-491
    • Weinstein, M.I.1
  • 14
    • 0041473959 scopus 로고
    • Nonlinear Schrödinger equations and sharp interpolation estimates
    • MR0691044 (84d:35140)
    • Weinstein, M. I., Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys., 87 (1983), 567-576. MR0691044 (84d:35140)
    • (1983) Comm. Math. Phys. , vol.87 , pp. 567-576
    • Weinstein, M.I.1
  • 16
    • 0031511764 scopus 로고    scopus 로고
    • On concentration of positive bound states of nonlinear Schrödinger equations with competing potential functions
    • MR1443612 (98e:81032)
    • Wang, X. F. and Zeng, B., On concentration of positive bound states of nonlinear Schrödinger equations with competing potential functions, SIAM J. Math. Anal. 28 (1997), 633-655. MR1443612 (98e:81032)
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 633-655
    • Wang, X.F.1    Zeng, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.