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A REMARK CONCERNING THE INHOMOGENEITY IN KATO’S 1953 THEOREM FOR ABSTRACT EVOLUTION EQUATIONS

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초록

We improve membership relations in the famous Tosio Kato theorem concerning strong solutions of abstract evolution equations in Banach spaces.

Abstract

We improve membership relations in the famous Tosio Kato theorem concerning strong solutions of abstract evolution equations in Banach spaces.

참고문헌 (2)

  1. T. Kato, "Integration of the equation of evolution in a Banach space", J. Math. Soc. Japan, 5, pp.208~234 (1953)[DOI]
  2. A. I. Shtern, "Comments on 1953 Tosio Kato's Theorem Concerning Abstract Evolution Equations of Hyperbolic Type", J. Appl. Funct. Differ. Equ. JAFDE, 1(1), pp.59~70 (2006)

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