This article is cited in 7 papers

Evolution equations with a nondensely defined operator coefficient

Yu. T. Sil'chenko


Abstract: The Cauchy problem for an evolution equation with a variable operator coefficient is investigated by methods of the theory of semigroups of bounded linear operators. The case is examined in which the domain of definition of the operator coefficient depends on time and is not dense in the Banach space under consideration.

UDC: 517.937

Received: 21.01.1992

 English version: Siberian Mathematical Journal, 1993, 34:2, 347–349

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