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Product Semigroups and Extrapolation Spaces

Abstract

A new formulation of the theory of extrapolation spaces is used to recast a theorem on the resolvent of the sum of a generator of a semigroup and a Hille–Yosida operator and to prove a regularity result related to an abstract equation.

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Correspondence to Eugenio Sinestrari.

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Sinestrari, E. Product Semigroups and Extrapolation Spaces. Semigroup Forum 71, 102–118 (2005). https://doi.org/10.1007/s00233-005-0505-1

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  • DOI: https://doi.org/10.1007/s00233-005-0505-1

Keywords

  • Regularity Result
  • Abstract Equation
  • Extrapolation Space
  • Yosida Operator
  • Product Semigroup