Summability of formal solutions to the n-dimensional inhomogeneous heat equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:347

Article

Michalik, Slawomir¹ 

[1] Cardinal Stefan Wyszynski Univ, Fac Math & Nat Sci, Coll Sci, PL-01815 Warsaw, Poland

关键词: complex heat equation;    formal power series;    Borel summability;   

DOI  :  10.1016/j.jmaa.2008.06.010

来源: Elsevier

【 摘 要 】

The Cauchy problem for n-dimensional inhomogeneous complex heat equation is considered. The Borel summability of formal solutions is characterised in terms of analytic continuation with an appropriate growth condition of some function connected with the inhomogeneity and the Cauchy data. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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