The Equation of Evolution in a Banach Space

  • JOANNE ELLIOTTO
  • Published 2010

Abstract

under the condition U,,¡x = x. Equation (1.1) is the homogeneous equation of evolution. Rather stringent conditions on ¿(/) are necessary in order for (1.1) to hold in the strictest sense. We therefore consider separately the left and right derivatives of Ut,, with respect to t and prove their existence only in a weak sense. Furthermore, in the general case… (More)

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