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Volumn 212, Issue 2, 1997, Pages 381-416

Sharp bounds for ground state eigenfunctions on domains with horns and cusps

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; LAPLACE TRANSFORMS;

EID: 0031197294     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5508     Document Type: Article
Times cited : (8)

References (13)
  • 1
    • 0030577692 scopus 로고    scopus 로고
    • Sharp estimates for Dirichlet eigenfunctions in simply connected domains
    • 1. R. Bañuelos, Sharp estimates for Dirichlet eigenfunctions in simply connected domains, J. Differential Equations 125 (1996), 282-298.
    • (1996) J. Differential Equations , vol.125 , pp. 282-298
    • Bañuelos, R.1
  • 2
    • 0002170198 scopus 로고
    • Lifetime and heat kernel estimates in non-smooth domains
    • (B. Dahlberg et al., Eds.), Springer-Verlag, New York/Berlin
    • 2. R. Bañuelos, Lifetime and heat kernel estimates in non-smooth domains, in "Partial Differential Equations with Minimal Smoothness and Applications" (B. Dahlberg et al., Eds.), pp. 37-48, Springer-Verlag, New York/Berlin, 1992.
    • (1992) Partial Differential Equations with Minimal Smoothness and Applications , pp. 37-48
    • Bañuelos, R.1
  • 3
    • 0030158697 scopus 로고    scopus 로고
    • Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections
    • 3. R. Bañuelos and M. van den Berg, Dirichlet eigenfunctions for horn-shaped regions and Laplacians on cross sections, J. London Math. Soc., (2) 53 (1996), 503-511.
    • (1996) J. London Math. Soc. (2) , vol.53 , pp. 503-511
    • Bañuelos, R.1    Van Den Berg, M.2
  • 4
    • 21144473306 scopus 로고
    • Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions
    • 4. R. Bañuelos and B. Davis, Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions, Comm. Math. Phys. 150 (1992), 209-215.
    • (1992) Comm. Math. Phys. , vol.150 , pp. 209-215
    • Bañuelos, R.1    Davis, B.2
  • 5
    • 21344499141 scopus 로고
    • Correction to "sharp estimates for Dirichlet eigenfunctions in horn-shaped regions,"
    • 5. R. Bañuelos and B. Davis, Correction to "Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions," Comm. Math. Phys. 162 (1994), 215-216.
    • (1994) Comm. Math. Phys. , vol.162 , pp. 215-216
    • Bañuelos, R.1    Davis, B.2
  • 6
    • 0002538769 scopus 로고
    • A boundary Harnack principle in twisted Hölder domains
    • 6. R. Bass and K. Burdzy, A boundary Harnack principle in twisted Hölder domains, Ann. of Math. (2) 134 (1991), 253-276.
    • (1991) Ann. of Math. (2) , vol.134 , pp. 253-276
    • Bass, R.1    Burdzy, K.2
  • 9
    • 0001462604 scopus 로고
    • Heat kernel bounds for second order elliptic operators in Riemannian manifolds
    • 9. E. B. Davies, Heat kernel bounds for second order elliptic operators in Riemannian manifolds, Amer. J. Math. 109 (1987), 545-570.
    • (1987) Amer. J. Math. , vol.109 , pp. 545-570
    • Davies, E.B.1
  • 10
    • 0000573290 scopus 로고
    • Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
    • 10. E. B. Davies and B. Simon, Ultracontractivity and the heat kernel 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
  • 11
    • 0010992233 scopus 로고
    • The first eigenvalue of a small geodesic ball in a Riemannian manifold
    • 11. L. Karp and M. Pinsky, The first eigenvalue of a small geodesic ball in a Riemannian manifold, Bull. Sci. Math. (2) 111 (1987), 229-239.
    • (1987) Bull. Sci. Math. (2) , vol.111 , pp. 229-239
    • Karp, L.1    Pinsky, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.