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Applicable Analysis
An International Journal
Volume 71, 1998 - Issue 1-4
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Original Articles

Weighted sobolev spaces and the heat equation in the whole space

N.V. Krylov University of Minnesota, Minneapolis, MN, 55455, 127 Vincent Hall E-mail: [email protected]
Pages 111-126 | Received 01 May 1998, Published online: 20 Jan 2011
 
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Abstract

The Cauchy problem for the nonhomogeneous heat equation is considered. Solutions are looked for in Sobolev spaces with weights which are powers of the first coordinate.

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