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Volumn 125, Issue 1, 1996, Pages 282-298

Sharp estimates for dirichlet eigenfunctions in simply connected domains

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Indexed keywords


EID: 0030577692     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0032     Document Type: Article
Times cited : (17)

References (14)
  • 1
    • 0001743189 scopus 로고
    • Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
    • 1. R. BAÑUELOS, Intrinsic Ultracontractivity and eigenfunction estimates for Schrödinger operators, J. Funct. Anal. 100 (1991), 181-206.
    • (1991) J. Funct. Anal. , vol.100 , pp. 181-206
    • Bañuelos, R.1
  • 2
    • 85029961549 scopus 로고    scopus 로고
    • Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections
    • to appear
    • 2. R. BAÑUELOS AND M. VAN DEN BERG, Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections, J. London Math. Soc., to appear.
    • J. London Math. Soc.
    • Bañuelos, R.1    Van Den Berg, M.2
  • 3
    • 84974003688 scopus 로고
    • Brownian motion and the fundamental frequency of a drum
    • 3. R. BAÑUELOS AND T. CARROLL, Brownian motion and the fundamental frequency of a drum, Duke Math. J. 75 (1994), 575-602.
    • (1994) Duke Math. J. , vol.75 , pp. 575-602
    • Bañuelos, R.1    Carroll, T.2
  • 5
    • 21144473306 scopus 로고
    • Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions
    • 5. R. BAÑUELOS AND B. DAVIS, Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions, Commun. Math. Phys. 150 (1992), 209-215.
    • (1992) Commun. Math. Phys. , vol.150 , pp. 209-215
    • Bañuelos, R.1    Davis, B.2
  • 6
    • 21344499141 scopus 로고
    • Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions
    • 6. R. BAÑUELOS AND B. DAVIS, Correction to "Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions," Commun. Math. Phys. 162 (1994), 215-216.
    • (1994) Commun. Math. Phys. , vol.162 , pp. 215-216
    • Bañuelos, R.1    Davis, B.2
  • 7
    • 0000352694 scopus 로고
    • A geometric characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions
    • 7. R. BAÑUELOS AND B. DAVIS, A geometric characterization of intrinsic ultracontractivity for planar domains with boundaries given by the graphs of functions, Indiana Math. J. 41 (1992), 885-913.
    • (1992) Indiana Math. J. , vol.41 , pp. 885-913
    • Bañuelos, R.1    Davis, B.2
  • 8
    • 38249023528 scopus 로고
    • Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains
    • 8. R. BAÑUELOS AND B. DAVIS, Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains, J. Funct. Anal. 89 (1989), 188-200.
    • (1989) J. Funct. Anal. , vol.89 , pp. 188-200
    • Bañuelos, R.1    Davis, B.2
  • 10
    • 0000573290 scopus 로고
    • Ultracontractivity and heat kernels for Schrödinger operators and Dirichlet Laplacians
    • 10. E. B. DAVIES AND B. SIMON, Ultracontractivity and heat kernels for Schrödinger operators and Dirichlet Laplacians, J. Funct. Anal. 59 (1984), 335-395.
    • (1984) J. Funct. Anal. , vol.59 , pp. 335-395
    • Davies, E.B.1    Simon, B.2
  • 13
    • 85029970042 scopus 로고    scopus 로고
    • Eigenfunctions of the Koch snowflake domain
    • to appear
    • 13. M. L. LAPIDUS AND M. M. H. PANG, Eigenfunctions of the Koch snowflake domain, Commun. Math. Phys., to appear.
    • Commun. Math. Phys.
    • Lapidus, M.L.1    Pang, M.M.H.2
  • 14
    • 0003880196 scopus 로고
    • Vandenhoeck & Ruprecht In Göttingen
    • 14. C. POMMERENKE, "Univalent Functions," Vandenhoeck & Ruprecht In Göttingen, 1975.
    • (1975) Univalent Functions
    • Pommerenke, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.