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Volumn 20, Issue 3, 2003, Pages 477-500

The cauchy problem for the schrödinger equation in dimension three with concentrated nonlinearity

Author keywords

Existence and uniqueness in energy space; Nonlinear Dirac Delta potentials; Nonlinear Schr dinger Equation (NLSE); Point interactions

Indexed keywords

BOUNDARY CONDITIONS; GREEN'S FUNCTION; NONLINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0347354930     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(02)00022-7     Document Type: Article
Times cited : (56)

References (15)
  • 2
    • 0041738945 scopus 로고    scopus 로고
    • A class of nonlinear Schrödinger equation with concentrated nonlinearity
    • Adami R., Teta A. A class of nonlinear Schrödinger equation with concentrated nonlinearity. J. Funct. Anal. 180:2001;148-175.
    • (2001) J. Funct. Anal. , vol.180 , pp. 148-175
    • Adami, R.1    Teta, A.2
  • 3
    • 0003796630 scopus 로고
    • New York: Academic Press
    • Adams R. Sobolev Spaces. 1975;Academic Press, New York.
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 5
    • 0141973496 scopus 로고    scopus 로고
    • An Introduction to Nonlinear Schrödinger Equation, 2nd Edition
    • Rio de Janeiro: IMUFRJ
    • Cazenave T. An Introduction to Nonlinear Schrödinger Equation. 2nd Edition Textos de Métodos Matematicos. 26:1993;IMUFRJ, Rio de Janeiro.
    • (1993) Textos de Métodos Matematicos , vol.26
    • Cazenave, T.1
  • 6
    • 0141973496 scopus 로고    scopus 로고
    • Blow up and Scattering in the Nonlinear Schrödinger Equation
    • Rio de Janeiro: IMUFRJ
    • Cazenave T. Blow up and Scattering in the Nonlinear Schrödinger Equation. Textos de Métodos Matematicos. 30:1996;IMUFRJ, Rio de Janeiro.
    • (1996) Textos de Métodos Matematicos , vol.30
    • Cazenave, T.1
  • 8
    • 49249148441 scopus 로고
    • On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
    • Ginibre J., Velo G. On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case. J. Funct. Anal. 32:1979;1-32.
    • (1979) J. Funct. Anal. , vol.32 , pp. 1-32
    • Ginibre, J.1    Velo, G.2
  • 10
    • 84966257202 scopus 로고
    • Invariance results for Delay and Volterra equations in fractional order Sobolev spaces
    • Kappel F., Kunisch K. Invariance results for Delay and Volterra equations in fractional order Sobolev spaces. Trans. Math. Soc. 304:(1):1987;1-51.
    • (1987) Trans. Math. Soc. , vol.304 , Issue.1 , pp. 1-51
    • Kappel, F.1    Kunisch, K.2
  • 11
    • 0001404168 scopus 로고
    • On nonlinear Schrödinger equations
    • Ann. Inst. Henri Poincaré
    • Kato T. On nonlinear Schrödinger equations. Ann. Inst. Henri Poincaré, Physique Théorique. 46:1987;113-129.
    • (1987) Physique Théorique , vol.46 , pp. 113-129
    • Kato, T.1
  • 13
    • 0011627134 scopus 로고
    • The evolution operator for time-dependent potentials of zero radius
    • Sayapova M.R., Yafaev D.R. The evolution operator for time-dependent potentials of zero radius. Proc. Stek. Inst. Math. 2:1984;173-180.
    • (1984) Proc. Stek. Inst. Math. , vol.2 , pp. 173-180
    • Sayapova, M.R.1    Yafaev, D.R.2
  • 15
    • 0041473959 scopus 로고
    • NLSE and sharp interpolation estimates
    • Weinstein M.I. NLSE and sharp interpolation estimates. Comm. Math. Phys. 87:1982/83;567-576.
    • (1982) Comm. Math. Phys. , vol.87 , pp. 567-576
    • Weinstein, M.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.