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Remarks on polynomial expansions of solutions of the heat equation in two space variables
Authors:Wolfgang Watzlawek
Affiliation:Fakult?t für Mathematik , Universit?t Konstanz Postfach , Konstanz, 5560, D-7750, Germany
Abstract:Results on polynomial expansions of analytic solutions of the heat equation can be used for the discussion of the continuation of analytic solutions. A system of polynomial solutions introduced by Col ton and Wimp [3] is found good for such investigations in the two dimensional case. A Banach scales approach is the base for the results of the present paper
Keywords:Heat equation  polynomials
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