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Volumn 188, Issue 1, 1997, Pages 233-249

On-diagonal estimates on Schrödinger semigroup kernels and reduced heat kernels

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EID: 0031511830     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050163     Document Type: Article
Times cited : (29)

References (19)
  • 2
    • 84972547058 scopus 로고
    • Schrödinger operators with magnetic fields, I general interactions
    • Avron, J., Herbst, I., Simon, B.: Schrödinger operators with magnetic fields, I General interactions. Duke Math. J. 45, 847-84 (1978)
    • (1978) Duke Math. J. , vol.45 , pp. 847-884
    • Avron, J.1    Herbst, I.2    Simon, B.3
  • 5
    • 0001486049 scopus 로고
    • Sharp heat kernel bounds for some laplace operators
    • Davies, E.B., Pang, M.M.H.: Sharp Heat kernel bounds for some Laplace operators. Quar. J. Math. Oxford (2) 40, 281-290 (1989)
    • (1989) Quar. J. Math. Oxford (2) , vol.40 , pp. 281-290
    • Davies, E.B.1    Pang, M.M.H.2
  • 6
    • 0000573290 scopus 로고
    • Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
    • Davies, E.B., Simon, B.: Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians. J. Funct. Anal. 59, 335-95 (1984)
    • (1984) J. Funct. Anal. , vol.59 , pp. 335-395
    • Davies, E.B.1    Simon, B.2
  • 7
    • 21844490227 scopus 로고
    • Reduced heat kernels on nilpotent lie groups
    • ter Elst, A.F.M., Robinson, D.W.: Reduced heat kernels on nilpotent Lie groups. Commun. Math. Phys. 173, 475-511 (1995)
    • (1995) Commun. Math. Phys. , vol.173 , pp. 475-511
    • Ter Elst, A.F.M.1    Robinson, D.W.2
  • 8
    • 0003212014 scopus 로고
    • Introduction to partial differential equations
    • Princeton, NJ: Princeton Univ. Press
    • Folland, G. B.: Introduction to partial differential equations. Math. Notes, Princeton, NJ: Princeton Univ. Press, 1976
    • (1976) Math. Notes
    • Folland, G.B.1
  • 9
    • 51249166924 scopus 로고
    • Décroissance à l'infini des fonctions propres de l'opérateur de schrödinger avec champ électromagnétique polynomial
    • Helffer, B., Nourrigat, J.: Décroissance à l'infini des fonctions propres de l'opérateur de Schrödinger avec champ électromagnétique polynomial. J. Analyse Math. 58, 263-75 (1992)
    • (1992) J. Analyse Math. , vol.58 , pp. 263-275
    • Helffer, B.1    Nourrigat, J.2
  • 12
    • 43949175607 scopus 로고
    • Etude spectrale d'opérateurs liés à des représentations de groupes nilpotents
    • Mohamed, A., Lévy-Bruhl, P., Nourrigat, J.: Etude spectrale d'opérateurs liés à des représentations de groupes nilpotents. J. Funct. Anal. 113, 65-93 (1993)
    • (1993) J. Funct. Anal. , vol.113 , pp. 65-93
    • Mohamed, A.1    Lévy-Bruhl, P.2    Nourrigat, J.3
  • 13
    • 0001680091 scopus 로고
    • Continuity of solutions of parabolic and elliptic equations
    • Nash, J.: Continuity of solutions of parabolic and elliptic equations. Amer. J. Math. 81, 931-954 (1958)
    • (1958) Amer. J. Math. , vol.81 , pp. 931-954
    • Nash, J.1
  • 17
    • 0002596898 scopus 로고
    • Maximal and minimal Schrödinger forms
    • Simon, B.: Maximal and Minimal Schrödinger forms. J. Operator Theory 1, 37-47 (1979)
    • (1979) J. Operator Theory , vol.1 , pp. 37-47
    • Simon, B.1
  • 18
    • 0030304673 scopus 로고    scopus 로고
    • Sharp pointwise estimates on heat kernels
    • Sikora, A.: Sharp pointwise estimates on heat kernels. Quart. J. Math. Oxford (2) 47, 371-382 (1996)
    • (1996) Quart. J. Math. Oxford (2) , vol.47 , pp. 371-382
    • Sikora, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.