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Publication Cover
Applicable Analysis
An International Journal
Volume 78, 2001 - Issue 1-2
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Original Articles

On the strong smoothness of weak solutions of an abstract evolution equation III. gevrey ultradifferentiability of order less than One

Marat V. Markin Division Of Science And Mathematics, College of General Studies Boston University, 871 Commonwealth Avenue Boston, MA, 02215 E-mail: [email protected]
Pages 139-152 | Published online: 02 May 2007
 
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Abstract

For the evolution equation

with a normal operatorA in a Hilbert space, it is shown that, all weak solutions of the equation on[∞) belonging to the Gevrey classes of orders less than one, the operator A is necessarily bounded.

Keywords:

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