메뉴 건너뛰기




Volumn 168, Issue 2, 1999, Pages 428-469

Commutator Algebra and Abstract Smoothing Effect

Author keywords

Commutator algebra; Dispersive equation; Mourre condition; Riemannian metric; Schr dinger equation; Smoothing effect

Indexed keywords


EID: 0007016460     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1999.3466     Document Type: Article
Times cited : (18)

References (25)
  • 1
    • 24444437262 scopus 로고
    • Les moments microlocaux et la régularité des solutions de l'équations de Schrödinger
    • École Polytechnique
    • Craig W. Les moments microlocaux et la régularité des solutions de l'équations de Schrödinger. Séminaire, Équations aux Dérivées Partielles. 1995-1996;École Polytechnique.
    • (1995) Séminaire, Équations Aux Dérivées Partielles
    • Craig, W.1
  • 2
    • 84990700842 scopus 로고
    • Microlocal dispersive smoothing for the Schrödinger equation
    • Craig W., Kappeler T., Strauss W. Microlocal dispersive smoothing for the Schrödinger equation. Comm. Pure Appl. Math. 48:1995;769-860.
    • (1995) Comm. Pure Appl. Math. , vol.48 , pp. 769-860
    • Craig, W.1    Kappeler, T.2    Strauss, W.3
  • 4
    • 0002604507 scopus 로고    scopus 로고
    • Remarks on the Cauchy problem for Schrödinger-type equations
    • Doi S. Remarks on the Cauchy problem for Schrödinger-type equations. Comm. Partial Differential Equations. 21:1996;163-178.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 163-178
    • Doi, S.1
  • 5
    • 0003155025 scopus 로고    scopus 로고
    • Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
    • Doi S. Smoothing effects of Schrödinger evolution groups on Riemannian manifolds. Duke Math. J. 82:1996;679-706.
    • (1996) Duke Math. J. , vol.82 , pp. 679-706
    • Doi, S.1
  • 6
    • 0010604043 scopus 로고    scopus 로고
    • Smoothing effect for Schrödinger evolution equation via commutator algebra
    • École Polytechnique
    • Doi S. Smoothing effect for Schrödinger evolution equation via commutator algebra. Séminaire, Équations aux Dérivées Partielles. 1996-1997;École Polytechnique.
    • (1996) Séminaire, Équations Aux Dérivées Partielles
    • Doi, S.1
  • 8
    • 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. 47:1980;559-600.
    • (1980) Duke Math. J. , vol.47 , pp. 559-600
    • Fujiwara, D.1
  • 9
    • 0002253552 scopus 로고
    • The harmonic operator for exterior differential forms
    • Gaffney M. P. The harmonic operator for exterior differential forms. Proc. Nat. Acad. Sci. U.S.A. 37:1951;48-50.
    • (1951) Proc. Nat. Acad. Sci. U.S.A. , vol.37 , pp. 48-50
    • Gaffney, M.P.1
  • 11
    • 0000301201 scopus 로고
    • Équations de Schrödinger avec champ magnétique et équation de Harper
    • Berlin: Springer-Verlag. p. 118-197
    • Helffer B., Sjöstrand J. Équations de Schrödinger avec champ magnétique et équation de Harper. Lecture Notes in Physics. 1989;Springer-Verlag, Berlin. p. 118-197.
    • (1989) Lecture Notes in Physics
    • Helffer, B.1    Sjöstrand, J.2
  • 17
    • 0030497126 scopus 로고    scopus 로고
    • Dispersive smoothing for Schrödinger equations
    • Kapitanski L., Safarov Y. Dispersive smoothing for Schrödinger equations. Math. Res. Lett. 3:1996;77-91.
    • (1996) Math. Res. Lett. , vol.3 , pp. 77-91
    • Kapitanski, L.1    Safarov, Y.2
  • 18
    • 0039165707 scopus 로고    scopus 로고
    • Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
    • Kenig C., Ponce G., Vega L. Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations. Invent. Math. 134:1998;489-545.
    • (1998) Invent. Math. , vol.134 , pp. 489-545
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 23
    • 0003168811 scopus 로고
    • On smoothing property of Schrödinger propagators
    • Berlin: Springer-Verlag. p. 20-35
    • Yamjima K. On smoothing property of Schrödinger propagators. Lecture Notes in Math. 1990;Springer-Verlag, Berlin. p. 20-35.
    • (1990) Lecture Notes in Math.
    • Yamjima, K.1
  • 24
    • 0000368357 scopus 로고    scopus 로고
    • Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations
    • Yajima K. Smoothness and non-smoothness of the fundamental solution of time dependent Schrödinger equations. Comm. Math. Phys. 181:1996;605-629.
    • (1996) Comm. Math. Phys. , vol.181 , pp. 605-629
    • Yajima, K.1
  • 25
    • 0001770301 scopus 로고
    • Reconstruction of singularities for solutions of Schrödinger's equation
    • Zelditch S. Reconstruction of singularities for solutions of Schrödinger's equation. Comm. Math. Phys. 90:1983;1-26.
    • (1983) Comm. Math. Phys. , vol.90 , pp. 1-26
    • Zelditch, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.