메뉴 건너뛰기




Volumn 67, Issue 2, 2003, Pages 247-261

The Laplacian with Wentzell-Robin Boundary Conditions on Spaces of Continuous Functions

Author keywords

Positive contraction semi groups; Wentzell Robin boundary conditions

Indexed keywords

ALGEBRA; FUNCTIONS; THEOREM PROVING;

EID: 0142009460     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00233-002-0010-8     Document Type: Article
Times cited : (78)

References (26)
  • 1
    • 53349128723 scopus 로고    scopus 로고
    • Strongly continuous dual semigroups
    • Amann, H. and J. Escher, Strongly continuous dual semigroups, Ann. Mat. Pura Appl. IV CLXXI (1996), 44-62.
    • (1996) Ann. Mat. Pura Appl. , vol.4 , pp. 44-62
    • Amann, H.1    Escher, J.2
  • 3
    • 0001861262 scopus 로고    scopus 로고
    • Gaussian estimates for second order elliptic operators with boundary conditions
    • Arendt, W. and A. F. M. Ter Elst, Gaussian estimates for second order elliptic operators with boundary conditions, J. Operator Theory 38 (1997), 87-130.
    • (1997) J. Operator Theory , vol.38 , pp. 87-130
    • Arendt, W.1    Ter Elst, A.F.M.2
  • 4
    • 0000630908 scopus 로고
    • 0-semigroups generated by differential operators satisfying Ventcel's boundary conditions
    • 0-semigroups generated by differential operators satisfying Ventcel's boundary conditions, Indag. Math. 89 (1986), 379-387.
    • (1986) Indag. Math. , vol.89 , pp. 379-387
    • Clément, P.1    Timmermans, C.A.2
  • 5
    • 23044518707 scopus 로고    scopus 로고
    • Robin boundary value problems on arbitrary domains
    • Daners, D., Robin boundary value problems on arbitrary domains, Trans. Am. Math. Soc. 352 (2000), 4207-4236.
    • (2000) Trans. Am. Math. Soc. , vol.352 , pp. 4207-4236
    • Daners, D.1
  • 7
    • 0141932798 scopus 로고    scopus 로고
    • The Laplacian on C(Ω̄) with Wentzell boundary conditions
    • to appear
    • Engel, K. J., The Laplacian on C(Ω̄) with Wentzell boundary conditions, Arch. Math. (to appear).
    • Arch. Math.
    • Engel, K.J.1
  • 12
    • 0009977813 scopus 로고    scopus 로고
    • Analytic semigroups on C[0,1] generated by some classes of second order differential operators
    • Favini, A. and S. Romanelli, Analytic semigroups on C[0,1] generated by some classes of second order differential operators, Semigroup Forum 56 (1998), 362-372.
    • (1998) Semigroup Forum , vol.56 , pp. 362-372
    • Favini, A.1    Romanelli, S.2
  • 13
    • 0001254093 scopus 로고
    • The parabolic equations and the associated semi-groups of transformations
    • Feller, W., The parabolic equations and the associated semi-groups of transformations, Ann. Math. 55 (1952), 468-519.
    • (1952) Ann. Math. , vol.55 , pp. 468-519
    • Feller, W.1
  • 15
    • 84972502992 scopus 로고
    • Highly degenerate parabolic boundary value problems
    • Goldstein, J. A. and C.-Y. Lin, Highly degenerate parabolic boundary value problems, Diff. Int. Eqns. 2 (1989), 216-227.
    • (1989) Diff. Int. Eqns. , vol.2 , pp. 216-227
    • Goldstein, J.A.1    Lin, C.-Y.2
  • 16
    • 0007063833 scopus 로고
    • Perturbing the boundary conditions of a generator
    • Greiner, G., Perturbing the boundary conditions of a generator, Houston J. Math. 13 (1987), 213-229.
    • (1987) Houston J. Math. , vol.13 , pp. 213-229
    • Greiner, G.1
  • 17
    • 84966201593 scopus 로고
    • The Neumann problem on Lipschitz domains
    • Jerison, D. S. and C. E. Kenig, The Neumann problem on Lipschitz domains, Bull. Amer. Math Soc. 4 (1981), 203-207.
    • (1981) Bull. Amer. Math Soc. , vol.4 , pp. 203-207
    • Jerison, D.S.1    Kenig, C.E.2
  • 18
    • 0000271720 scopus 로고
    • The inhomogeneous Dirichlet problem in Lipschitz domains
    • Jerison, D. S. and C. E. Kenig, The inhomogeneous Dirichlet problem in Lipschitz domains, J. Funct. Anal. 130 (1995), 161-219.
    • (1995) J. Funct. Anal. , vol.130 , pp. 161-219
    • Jerison, D.S.1    Kenig, C.E.2
  • 20
    • 0001223392 scopus 로고    scopus 로고
    • Analyticity for some degenerate one-dimensional evolution equations
    • Metafune, G., Analyticity for some degenerate one-dimensional evolution equations, Studia Math. 127 (1998), 251-276.
    • (1998) Studia Math. , vol.127 , pp. 251-276
    • Metafune, G.1
  • 21
    • 0003207468 scopus 로고
    • One-parameter semigroups of positive operators
    • Berlin, Heidelberg, New York
    • Nagel, R. (ed.), One-parameter semigroups of positive operators, Springer Lect. Notes in Math. 1184, Berlin, Heidelberg, New York, 1986.
    • (1986) Springer Lect. Notes in Math. , vol.1184
    • Nagel, R.1
  • 23
    • 21444449002 scopus 로고    scopus 로고
    • Invariance of closed convex sets and domination criteria for semigroups
    • Ouhabaz, E., Invariance of closed convex sets and domination criteria for semigroups, Potential Analysis 5 (1996), 611-625.
    • (1996) Potential Analysis , vol.5 , pp. 611-625
    • Ouhabaz, E.1
  • 24
    • 0041759787 scopus 로고    scopus 로고
    • Feller semigroups generated by degenerate elliptic operators
    • Taira, K., A. Favini, and S. Romanelli, Feller semigroups generated by degenerate elliptic operators, Semigroup Forum 60 (2000), 296-309.
    • (2000) Semigroup Forum , vol.60 , pp. 296-309
    • Taira, K.1    Favini, A.2    Romanelli, S.3
  • 25
    • 0001456332 scopus 로고
    • Analytic semigroups, degenerate elliptic operators and applications to nonlinear Cauchy problems
    • Vespri, V., Analytic semigroups, degenerate elliptic operators and applications to nonlinear Cauchy problems, Ann. Math. Pura Appl. 155(4) (1989), 353-388.
    • (1989) Ann. Math. Pura Appl. , vol.155 , Issue.4 , pp. 353-388
    • Vespri, V.1
  • 26
    • 0141967488 scopus 로고    scopus 로고
    • Wentzell-Robin boundary conditions on C[0,1]
    • Warma, M., Wentzell-Robin boundary conditions on C[0,1], Semigroup Forum 65 (2002), 1-9.
    • (2002) Semigroup Forum , vol.65 , pp. 1-9
    • Warma, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.