메뉴 건너뛰기




Volumn 54, Issue 3, 2006, Pages 441-464

Operator matrices as generators of cosine operator functions

Author keywords

Cosine operator functions; Differential operators equipped with dynamical or generalized Wentzell boundary conditions; Operator matrices

Indexed keywords


EID: 32944474022     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00020-004-1357-x     Document Type: Article
Times cited : (10)

References (39)
  • 2
    • 0001466960 scopus 로고    scopus 로고
    • Almost periodic solutions of first- and second-order Cauchy problems
    • W. Arendt and C.J.K. Batty, Almost periodic solutions of first- and second-order Cauchy problems, J. Differential Equations 137 (1997), 363-383.
    • (1997) J. Differential Equations , vol.137 , pp. 363-383
    • Arendt, W.1    Batty, C.J.K.2
  • 3
    • 0142009460 scopus 로고    scopus 로고
    • The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
    • W. Arendt, G. Metafune, D. Pallara, and S. Romanelli, The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions, Semigroup Forum 67 (2003), 247-261.
    • (2003) Semigroup Forum , vol.67 , pp. 247-261
    • Arendt, W.1    Metafune, G.2    Pallara, D.3    Romanelli, S.4
  • 4
    • 84994446636 scopus 로고    scopus 로고
    • A. Bátkai and K.-J. Engel, Abstract wave equations with generalized Wentzell boundary conditions. Semigroup Forum (to appear).
  • 5
    • 84994424292 scopus 로고    scopus 로고
    • 1,1[0,1] with generalized Wentzell boundary conditions. Preprint.
  • 6
    • 31944450427 scopus 로고    scopus 로고
    • Wave propagation in the ice-covered ocean wave guide and operator polynomials
    • H.G.W. Begehr, R.P. Gilbert, and J. Kajiwara (eds.), Kluwer Academic Publishers
    • B.P. Belinsky, Wave propagation in the ice-covered ocean wave guide and operator polynomials, in: H.G.W. Begehr, R.P. Gilbert, and J. Kajiwara (eds.), "Proceedings of the Second ISAAC Congress", Kluwer Academic Publishers 2000, 1319-1333.
    • (2000) Proceedings of the Second ISAAC Congress , pp. 1319-1333
    • Belinsky, B.P.1
  • 8
    • 85088343865 scopus 로고    scopus 로고
    • V. Casarino, K.-J. Engel, G. Nickel, and S. Piazzera, Decoupling techniques for wave equations with dynamic boundary conditions, Discrete Contin. Dyn. Syst. (to appear).
  • 11
    • 0000080138 scopus 로고    scopus 로고
    • Spectral theory and generator property for one-sided coupled operator matrices
    • K.-J. Engel, Spectral theory and generator property for one-sided coupled operator matrices, Semigroup Forum 58 (1999), 267-295.
    • (1999) Semigroup Forum , vol.58 , pp. 267-295
    • Engel, K.-J.1
  • 12
    • 0347649524 scopus 로고    scopus 로고
    • Second order differential operators on C[0,1] with Wentzell-Robin boundary conditions
    • G.R. Goldstein, R. Nagel, and S. Romanelli (eds.), "Evolution Equations: Proceedings in Honor of J.A. Goldstein's 60th Birthday", Marcel Dekker
    • K.-J. Engel, Second order differential operators on C[0,1] with Wentzell-Robin boundary conditions, in: G.R. Goldstein, R. Nagel, and S. Romanelli (eds.), "Evolution Equations: Proceedings in Honor of J.A. Goldstein's 60th Birthday", Lecture Notes in Pure and Applied Mathematics 234, Marcel Dekker 2003, 159-166.
    • (2003) Lecture Notes in Pure and Applied Mathematics , vol.234 , pp. 159-166
    • Engel, K.-J.1
  • 13
    • 84994446635 scopus 로고    scopus 로고
    • Matrix methods for Wentzell boundary conditions
    • 0)-semigroups and PDEs: Theory and applications" Aracne
    • 0)-semigroups and PDEs: theory and applications" (Proceedings Bari 2003), Aracne 2004, 45-80.
    • (2004) Proceedings Bari 2003 , pp. 45-80
    • Engel, K.-J.1
  • 14
    • 33749417754 scopus 로고    scopus 로고
    • Analyticity of semigroups generated by operators with generalized wentzell boundary conditions
    • Springer-Verlag
    • K.-J. Engel and G. Fragnelli, Analiticity of semigroups generated by operators with generalized Wentzell boundary conditions. Preprint.
    • (2005) Advances in Differential Equations , vol.10 , Issue.11 , pp. 1301-1320
    • Engel, K.-J.1    Nagel, R.2
  • 15
    • 0003215222 scopus 로고    scopus 로고
    • One-parameter Semigroups for Linear Evolution Equation
    • Springer-Verlag
    • K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equation, Graduate Texts in Mathematics 194, Springer-Verlag 2000.
    • (2000) Graduate Texts in Mathematics , vol.194
    • Engel, K.-J.1    Nagel, R.2
  • 16
    • 0001096743 scopus 로고
    • Ordinary differential equations in linear topological spaces. I
    • H.O. Fattorini, Ordinary differential equations in linear topological spaces. I, J. Differential Equations 5 (1968), 72-105.
    • (1968) J. Differential Equations , vol.5 , pp. 72-105
    • Fattorini, H.O.1
  • 17
    • 0001096741 scopus 로고
    • Ordinary differential equations in linear topological spaces, II
    • H.O. Fattorini, Ordinary differential equations in linear topological spaces, II, J. Differential Equations 5 (1968), 50-70.
    • (1968) J. Differential Equations , vol.5 , pp. 50-70
    • Fattorini, H.O.1
  • 18
    • 0003369059 scopus 로고
    • Second order linear differential equations in banach spaces
    • North-Holland
    • H.O. Fattorini, Second Order Linear Differential Equations in Banach Spaces, Mathematics Studies 108, North-Holland 1985.
    • (1985) Mathematics Studies , vol.108
    • Fattorini, H.O.1
  • 19
    • 0242374818 scopus 로고    scopus 로고
    • The one dimensional wave equation with Wentzell boundary conditions
    • S. Aicovici and N. Pavel (eds.), "Differential Equations and Control Theory" (Proceedings Athens 2000), Marcel Dekker
    • A. Favini, G.R. Goldstein, J.A. Goldstein, and S. Romanelli, The one dimensional wave equation with Wentzell boundary conditions, in: S. Aicovici and N. Pavel (eds.), "Differential Equations and Control Theory" (Proceedings Athens 2000), Lecture Notes in Pure and Applied Mathematics 225, Marcel Dekker 2001, 139-145.
    • (2001) Lecture Notes in Pure and Applied Mathematics , vol.225 , pp. 139-145
    • Favini, A.1    Goldstein, G.R.2    Goldstein, J.A.3    Romanelli, S.4
  • 21
    • 1642303112 scopus 로고    scopus 로고
    • Oscillatory boundary conditions for acoustic wave equations
    • O. Gal, G.R. Goldstein, and J.A. Goldstein, Oscillatory boundary conditions for acoustic wave equations, J. Evol. Equations 3 (2004), 623-636.
    • (2004) J. Evol. Equations , vol.3 , pp. 623-636
    • Gal, O.1    Goldstein, G.R.2    Goldstein, J.A.3
  • 22
    • 0041837228 scopus 로고
    • Time dependent hyperbolic equations
    • J.A. Goldstein, Time dependent hyperbolic equations, J. Funct. Anal. 4 (1969), 31-49.
    • (1969) J. Funct. Anal. , vol.4 , pp. 31-49
    • Goldstein, J.A.1
  • 23
    • 0041611504 scopus 로고
    • Semigroups and second-order differential equations
    • J.A. Goldstein, Semigroups and second-order differential equations, J. Funct. Anal. 4 (1969), 50-70.
    • (1969) J. Funct. Anal. , vol.4 , pp. 50-70
    • Goldstein, J.A.1
  • 24
    • 84994446637 scopus 로고    scopus 로고
    • J.A. Goldstein, Semigroups of Linear Operators and Applications, Oxford Mathematical Monographs, Oxford University Press 1985.
  • 25
    • 0348164978 scopus 로고
    • Linear and semilinear boundary conditions: The analytic case
    • Ph. Clément, E. Mitidieri, and B. de Pagter (eds.), "Semigroup Theory and Evolution Equations" (Proceedings Delft 1989), Marcel Dekker
    • G. Greiner and K. Kuhn, Linear and semilinear boundary conditions: the analytic case, in: Ph. Clément, E. Mitidieri, and B. de Pagter (eds.), "Semigroup Theory and Evolution Equations" (Proceedings Delft 1989), Lecture Notes in Pure and Appl. Math. 135, Marcel Dekker 1991, 193-211.
    • (1991) Lecture Notes in Pure and Appl. Math. , vol.135 , pp. 193-211
    • Greiner, G.1    Kuhn, K.2
  • 26
    • 31944437317 scopus 로고    scopus 로고
    • Semigroups for initial-boundary value problems
    • M. Iannelli and G. Lumer (eds.): "Evolution Equations 2000: Applications to Physics, Industry, Life Sciences and Economics" (Proceedings Levico Terme 2000), Birkhäuser
    • M. Kramar, D. Mugnolo, and R. Nagel, Semigroups for initial-boundary value problems, in: M. Iannelli and G. Lumer (eds.): "Evolution Equations 2000: Applications to Physics, Industry, Life Sciences and Economics" (Proceedings Levico Terme 2000), Progress in Nonlinear Differential Equations, Birkhäuser 2003, 277-297.
    • (2003) Progress in Nonlinear Differential Equations , pp. 277-297
    • Kramar, M.1    Mugnolo, D.2    Nagel, R.3
  • 27
    • 4644362615 scopus 로고    scopus 로고
    • Theory and applications of one-sided coupled operator matrices
    • M. Kramar, D. Mugnolo, and R. Nagel, Theory and applications of one-sided coupled operator matrices, Conf. Sem. Mat. Univ. Bari 283 (2003).
    • (2003) Conf. Sem. Mat. Univ. Bari , vol.283
    • Kramar, M.1    Mugnolo, D.2    Nagel, R.3
  • 30
    • 31944445778 scopus 로고    scopus 로고
    • D. Mugnolo, Abstract wave equations with acoustic boundary conditions, Math. Nachr. (to appear).
  • 31
    • 84994458461 scopus 로고    scopus 로고
    • D. Mugnolo and S. Romanelli, Uniformly elliptic operators with Wentzell boundary conditions. Preprint.
  • 32
    • 0001572406 scopus 로고
    • Periodic and almost periodic cosine operator functions
    • S. Piskarëv, Periodic and almost periodic cosine operator functions, Math. USSR, Sb. 46 (1983), 391-402.
    • (1983) Math. USSR, Sb. , vol.46 , pp. 391-402
    • Piskarëv, S.1
  • 33
    • 51249163389 scopus 로고
    • Perturbation and comparison of cosine operator functions
    • S.I. Piskarev and S.Y. Shaw, Perturbation and comparison of cosine operator functions, Semigroup Forum 51 (1995), 225-246.
    • (1995) Semigroup Forum , vol.51 , pp. 225-246
    • Piskarev, S.I.1    Shaw, S.Y.2
  • 34
    • 0042503224 scopus 로고
    • Positive perturbations of linear volterra equations and sine functions of operators
    • A. Rhandi, Positive perturbations of linear volterra equations and sine functions of operators, J. Integral Equations Appl. 4 (1992), 409-420.
    • (1992) J. Integral Equations Appl. , vol.4 , pp. 409-420
    • Rhandi, A.1
  • 35
    • 0001947072 scopus 로고
    • Cosine operator functions
    • M. Sova, Cosine operator functions, Rozpr. Mat. 49 (1966), 1-47.
    • (1966) Rozpr. Mat. , vol.49 , pp. 1-47
    • Sova, M.1
  • 36
    • 0000448195 scopus 로고
    • Compactness, regularity, and uniform continuity properties of strongly continuous cosine families
    • C.C. Travis and G.F. Webb, Compactness, regularity, and uniform continuity properties of strongly continuous cosine families, Houston J. Math. 3 (1977), 555-567.
    • (1977) Houston J. Math. , vol.3 , pp. 555-567
    • Travis, C.C.1    Webb, G.F.2
  • 37
    • 32944462299 scopus 로고    scopus 로고
    • Wentzell boundary conditions in the context of Dirichlet forms
    • H. Vogt and J. Voigt, Wentzell boundary conditions in the context of Dirichlet forms, Adv. Differ. Equ. 8 (2003), 821-842.
    • (2003) Adv. Differ. Equ. , vol.8 , pp. 821-842
    • Vogt, H.1    Voigt, J.2
  • 38
    • 0003294457 scopus 로고    scopus 로고
    • The Cauchy problem for higher-order abstract differential equations
    • Springer-Verlag, Berlin
    • T.-J. Xiao and J. Liang, The Cauchy Problem for Higher-Order Abstract Differential Equations, Lecture Notes in Mathematics 1701, Springer-Verlag, Berlin 1998.
    • (1998) Lecture Notes in Mathematics , vol.1701
    • Xiao, T.-J.1    Liang, J.2
  • 39
    • 0242339644 scopus 로고    scopus 로고
    • A solution to an open problem for wave equations with generalized Wentzell, boundary conditions
    • T.-J. Xiao and J. Liang, A solution to an open problem for wave equations with generalized Wentzell, boundary conditions, Math. Ann. 327 (2003), 351-363.
    • (2003) Math. Ann. , vol.327 , pp. 351-363
    • Xiao, T.-J.1    Liang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.