@article{ASNSP_1997_4_24_4_703_0, author = {Nagel, Rainer}, title = {Characteristic equations for the spectrum of generators}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {703--717}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 24}, number = {4}, year = {1997}, mrnumber = {1627330}, zbl = {0912.47023}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1997_4_24_4_703_0/} }
TY - JOUR AU - Nagel, Rainer TI - Characteristic equations for the spectrum of generators JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1997 SP - 703 EP - 717 VL - 24 IS - 4 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1997_4_24_4_703_0/ LA - en ID - ASNSP_1997_4_24_4_703_0 ER -
%0 Journal Article %A Nagel, Rainer %T Characteristic equations for the spectrum of generators %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1997 %P 703-717 %V 24 %N 4 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1997_4_24_4_703_0/ %G en %F ASNSP_1997_4_24_4_703_0
Nagel, Rainer. Characteristic equations for the spectrum of generators. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 24 (1997) no. 4, pp. 703-717. http://archive.numdam.org/item/ASNSP_1997_4_24_4_703_0/
[Ar] Spectrum and growth of positive semigroups, In: G. Ferreyra - G. Ruiz Goldstein - F. Neubrander (eds.): Evolution Equations, Lect. Notes Pure Appl. Math. 168, 21-28, Marcel Dekker, 1995. | MR | Zbl
,[En-1] Systems of evolution equations, Confer. Sem. Mat. Univ. Bari 260 (1994), 61-109. | MR | Zbl
,[En-2] Operator Matrices and Systems of Evolution Equations, Book manuscript 1996. | MR
,[En-3] Spectral theory and generator property for one-sided coupled operator matrices, Tübinger Berichte zur Funktionalanalysis 4 (1994/95), 33-60.
,[Gr] Compactness properties and asymptotics of strongly coupled systems, J. Math. Anal. Appl. 187 (1994), 411-437. | MR | Zbl
,[Gr-Na] Growth of cell populations via one-parameter semigroups of positive operators, In: J. A. Goldstein - S. Rosencrans - G. Sod (eds.): Mathematics Applied to Science, 79-105, Academic Press, 1988. | MR | Zbl
- ,[Gy-We] A nonlinear structured population model oftumor growth with quiescence, J. Math. Biol. 28 (1990), 671-694. | MR | Zbl
- ,[Ka-VL] Characteristic matrices and spectral properties of evolutionary systems, Trans. Amer. Math. Soc. 334 (1992), 479-517. | MR | Zbl
- ,[Me-Di] The Dynamics of Physiologically Structured Populations, Lect. Notes Biomath. 68, Springer-Verlag, 1986. | MR | Zbl
- ,[Na-1] One parameter Semigroups of Positive Operators, Lect. Notes Math. 1184, Springer-Verlag, 1986. | MR | Zbl
,[Na-2] Towards a "matrix theory" for unbounded operator matrices, Math. Z. 201 (1989), 57-68. | MR | Zbl
,[Na-3] The spectrum of unbounded operator matrices with non-diagonal domain, J. Funct. Analysis 89 (1990), 291-302. | MR | Zbl
,[Na-4] Order in pure and applied functional analysis, Atti Sem. Mat. Fis. Univ. Modena 40 (1992), 503-517. | MR | Zbl
,[Na-Si] Inhomogeneous Volterra integrodifferential equations for Hille-Yosida operators, In: K. D. Bierstedt - A. Pietsch - W. M. Ruess - D. Vogt (eds.): Functional Analysis, Lect. Notes Pure Appl. Math. 150, 51-70, Marcel Dekker, 1993. | MR | Zbl
- ,[Ne] The Asymptotic Behaviour of Semigroups of Linear Operators, Operator Theory, Advances Appl. 88, Birkhäuser Verlag, 1996. | MR | Zbl
,[Ni-Rh] On the essential spectral radius of semigroups generated by perturbations of Hille-Yosida operators, Differential Integral Equations (to appear).
- ,[Pr] Evolutionary Integral Equations and Applications, Monographs Math. 87, Birkhäuser Verlag, 1993. | MR | Zbl
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