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Perturbations and Approximations

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Part of the Applied Mathematical Sciences book series (AMS,volume 44)

Abstract

Let X be a Banach space and let A be the infinitesimal generator of a C 0 semigroup T(t) on X, satisfying || T(t)|| ≤ Mewt. If B is a bounded linear operator on X then A + B is the infinitesimal generator of a C0semigroup S(t) on X, satisfying ||S(t)||Me(w + M || B ||)t.

Keywords

  • Linear Operator
  • Bounded Linear Operator
  • Continuous Semigroup
  • Infinitesimal Generator
  • Analytic Semigroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1983 Springer-Verlag New York, Inc.

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Pazy, A. (1983). Perturbations and Approximations. In: Semigroups of Linear Operators and Applications to Partial Differential Equations. Applied Mathematical Sciences, vol 44. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5561-1_3

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  • DOI: https://doi.org/10.1007/978-1-4612-5561-1_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-5563-5

  • Online ISBN: 978-1-4612-5561-1

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