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Aɛ-bounded, finite rank perturbations of s.c. group generators A: Counterexamples to generation and to another condition for well-posedness

Part of the Lecture Notes in Mathematics book series (LNM,volume 1076)

Keywords

  • Contraction Semigroup
  • Invertibility Condition
  • Semigroup Generator
  • Fixed Point Solution
  • Order Hyperbolic Equation

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References

  1. Butzer P.L., H. Berens: Semi-groups of operators and approximations, Springer-Verlag, 1967.

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  2. Doetsch, G.: Introduction to the theory and Applications of the Laplace transformation, Springer-Verlag, 1970.

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  3. Desch, W., W. Schappacher: On relatively bounded perturbations of linear C0-semigroups, Scuola Normale Superiore Pisa, to appear.

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  4. Edwards, R.E.: Fourier Series, a modern introduction, Vol.2, Springer-Verlag 1982, Second Edition.

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  5. Kato, T.: Perturbation theory of linear operators, Springer-Verlag

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  6. Pazy, A.: Semigroups of operators and applications to partial differential equations, Lectures Notes # 10, Math. Dept., University of Maryland, College Park (1974).

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  7. Lasiecka, I., R. Triggiani: Finite rank, relatively bounded perturbations of semigroups generators. Part I: well-posedness and boundary feedback hyperbolic dynamics.

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  8. Lasiecka I., R. Triggiani: Regularity of hyperbolic equations under L2(0,T;L2(Г)) — Dirichlet boundary terms, Applied Math. & Optimiz. 10 (1983). 275–286.

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© 1984 Springer-Verlag

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Triggiani, R. (1984). Aɛ-bounded, finite rank perturbations of s.c. group generators A: Counterexamples to generation and to another condition for well-posedness. In: Kappel, F., Schappacher, W. (eds) Infinite-Dimensional Systems. Lecture Notes in Mathematics, vol 1076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072779

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  • DOI: https://doi.org/10.1007/BFb0072779

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13376-6

  • Online ISBN: 978-3-540-38932-3

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