Weighted sobolev spaces and the heat equation in the whole space

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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.

Original languageEnglish (US)
Pages (from-to)111-126
Number of pages16
JournalApplicable Analysis
Volume71
Issue number1-4
DOIs
StatePublished - Dec 1998

Keywords

  • The heat equation
  • Weighted Sobolev spaces

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