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Volumn 21, Issue 1, 2004, Pages 121-137

Blow-up solutions for the Schr̈dinger equation in dimension three with a concentrated nonlinearity

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; SET THEORY; THEOREM PROVING;

EID: 0842265107     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2003.01.002     Document Type: Article
Times cited : (49)

References (11)
  • 1
    • 84995333161 scopus 로고    scopus 로고
    • The Cauchy problem for the Schrödinger equation in dimension three with a concentrated nonlinearity
    • Preprint, Département de mathématiques et applications, École normale supérieure, DMA-02-09, in press
    • R. Adami, G. Dell'Antonio, R. Figari, A. Teta, The Cauchy problem for the Schrödinger equation in dimension three with a concentrated nonlinearity, Preprint, Département de mathématiques et applications, École normale supérieure, DMA-02-09, Ann. Inst. H. Poincaré Anal. Non Linéaire, in press.
    • Ann. Inst. H. Poincaré Anal. Non Linéaire
    • Adami, R.1    Dell'Antonio, G.2    Figari, R.3    Teta, A.4
  • 2
    • 0041808039 scopus 로고    scopus 로고
    • A simple model of concentrated nonlinearity
    • Adami R., Teta A. A simple model of concentrated nonlinearity. Operator Theory Adv. Appl. 108:1999;183-189.
    • (1999) Operator Theory Adv. Appl. , vol.108 , pp. 183-189
    • Adami, R.1    Teta, A.2
  • 3
    • 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
  • 5
    • 0141973496 scopus 로고    scopus 로고
    • An Introduction to Nonlinear Schrödinger Equation second ed.
    • IMUFRJ, Rio de Janeiro
    • Cazenave T. An Introduction to Nonlinear Schrödinger Equation. second ed. Textos de Métodos Matematicos. vol. 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. vol. 30:1996;IMUFRJ, Rio de Janeiro.
    • (1996) Textos de Métodos Matematicos , vol.30
    • Cazenave, T.1
  • 9
    • 0001337201 scopus 로고
    • Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
    • Merle F. Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity. Comm. Math. Phys. 129:1990;223-240.
    • (1990) Comm. Math. Phys. , vol.129 , pp. 223-240
    • Merle, F.1
  • 10
    • 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. Steklov Inst. Math. 2:1984;173-180.
    • (1984) Proc. Steklov Inst. Math. , vol.2 , pp. 173-180
    • Sayapova, M.R.1    Yafaev, D.R.2
  • 11
    • 0041473959 scopus 로고
    • NLSE and sharp interpolation estimates
    • Weinstein M.I. NLSE and sharp interpolation estimates. Comm. Math. Phys. 87:1983;567-576.
    • (1983) Comm. Math. Phys. , vol.87 , pp. 567-576
    • Weinstein, M.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.