메뉴 건너뛰기




Volumn 181, Issue 3, 1996, Pages 605-629

Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000368357     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101289     Document Type: Article
Times cited : (65)

References (22)
  • 4
    • 84990700842 scopus 로고    scopus 로고
    • Microlocal dispersive smoothing for the Schrödinger equation
    • Craig, W., Kappeler, T., Strauss, W.: Microlocal dispersive smoothing for the Schrödinger equation. Comm. Pure and Appl. Math. 45, 769-860 (1996)
    • (1996) Comm. Pure and Appl. Math. , vol.45 , pp. 769-860
    • Craig, W.1    Kappeler, T.2    Strauss, W.3
  • 5
    • 51249179626 scopus 로고
    • A construction of the fundamental solution for the Schrödinger equation
    • Fujiwara, D.: A construction of the fundamental solution for the Schrödinger equation. J. d'Analyse Math. 35, 41-96 (1979)
    • (1979) J. D'analyse Math. , vol.35 , pp. 41-96
    • Fujiwara, D.1
  • 6
    • 84972584889 scopus 로고
    • Remarks on the convergence of the Feynman path integrals
    • Fujiwara, D.: Remarks on the convergence of the Feynman path integrals. Duke Math. J. 47, 41-96 (1980)
    • (1980) Duke Math. J. , vol.47 , pp. 41-96
    • Fujiwara, D.1
  • 10
    • 0030497126 scopus 로고    scopus 로고
    • Dispersive smoothing for Schrödinger equations
    • Kapitanski, L., Safarov, Y.: Dispersive smoothing for Schrödinger equations. Research letters 3, 77-91 (1996)
    • (1996) Research Letters , vol.3 , pp. 77-91
    • Kapitanski, L.1    Safarov, Y.2
  • 11
    • 84972579176 scopus 로고
    • A family of Fourier integral operators and the fundamental solution for a Schrödinger equation
    • Kitada, H., Kumano-go, H.: A family of Fourier integral operators and the fundamental solution for a Schrödinger equation. Osaka J. Math. 18, 291-360 (1981)
    • (1981) Osaka J. Math. , vol.18 , pp. 291-360
    • Kitada, H.1    Kumano-Go, H.2
  • 12
    • 0001776327 scopus 로고
    • Propagation des singularités des solutions d'équations pseudo-differentielles quasi-homogènes
    • Lascar, R.: Propagation des singularités des solutions d'équations pseudo-differentielles quasi-homogènes. Ann. Inst. Fourier 27, 79-123 (1977)
    • (1977) Ann. Inst. Fourier , vol.27 , pp. 79-123
    • Lascar, R.1
  • 13
    • 84943472356 scopus 로고
    • Ueber die Entwicklung einer function von beliebig vielen variablen nach laplaceschen functionen höherer ordnung
    • Mehler, F.G.: Ueber die Entwicklung einer Function von beliebig vielen Variablen nach Laplaceschen Functionen höherer Ordnung. J. reine und angew. Math. 66, 161-176 (1866)
    • (1866) J. Reine und Angew. Math. , vol.66 , pp. 161-176
    • Mehler, F.G.1
  • 14
    • 0039222903 scopus 로고
    • Smoothing effects and dispersion of singularities for Schrödinger evolution group
    • Ozawa, T.: Smoothing effects and dispersion of singularities for Schrödinger evolution group. Arch. Rat. Mech. Anal. 110, 165-186 (1990)
    • (1990) Arch. Rat. Mech. Anal. , vol.110 , pp. 165-186
    • Ozawa, T.1
  • 15
    • 0039222902 scopus 로고
    • Quasi-homogeneous wave front set and fundamental solution for Schrödinger operators
    • Sakurai, T.: Quasi-homogeneous wave front set and fundamental solution for Schrödinger operators. Scientific Papers of Coll. General Edu. 32, 1-13 (1982)
    • (1982) Scientific Papers of Coll. General Edu. , vol.32 , pp. 1-13
    • Sakurai, T.1
  • 18
    • 51249171749 scopus 로고
    • Schrödinger evolution equations with magnetic fields
    • Yajima, K.: Schrödinger evolution equations with magnetic fields. J. d'Analyse Math. 56, 29-76 (1991)
    • (1991) J. d'Analyse Math. , vol.56 , pp. 29-76
    • Yajima, K.1
  • 19
    • 0000483491 scopus 로고
    • Existence of solutions for Schrödinger evolution equations
    • Yajima, K.: Existence of solutions for Schrödinger evolution equations. Commun. Math. Phys. 110, 415-426 (1987)
    • (1987) Commun. Math. Phys. , vol.110 , pp. 415-426
    • Yajima, K.1
  • 20
    • 0008979451 scopus 로고
    • On the microlocal smoothing effect of dispersive partial differential equations I: Second order linear equation
    • Yamazaki, M.: On the microlocal smoothing effect of dispersive partial differential equations I: Second order linear equation. Algebraic Analysis 11, 911-926 (1988)
    • (1988) Algebraic Analysis , vol.11 , pp. 911-926
    • Yamazaki, M.1
  • 21
    • 0001770301 scopus 로고
    • Reconstruction of singularities for solutions of Schrödinger equation
    • Zelditch, S.: Reconstruction of singularities for solutions of Schrödinger equation. Commun. Math. Phys. 90, 1-26 (1983)
    • (1983) Commun. Math. Phys. , vol.90 , pp. 1-26
    • Zelditch, S.1
  • 22
    • 0000855641 scopus 로고
    • On the Fourier coefficients and transforms of functions of two variables
    • Zygmund, A.: On the Fourier coefficients and transforms of functions of two variables. Studia Math. 50, 189-201 (1974)
    • (1974) Studia Math. , vol.50 , pp. 189-201
    • Zygmund, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.