Summability of divergent solutions of the n-dimensional heat equation

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:229

Article

Michalik, Slawomir

关键词: complex heat equation;    formal solution;    Borel summability;   

DOI  :  10.1016/j.jde.2006.06.005

来源: Elsevier

【 摘 要 】

The Cauchy problem for n-dimensional complex heat equation is considered. The Borel summability of formal solutions is characterized in terms of analytic continuation with an appropriate growth condition of the spherical mean of the Cauchy data. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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