analytic continuation of solutions of some nonlinear convolution partial differential equations

Clicks: 163
ID: 221639
2015
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Abstract
The paper considers a problem of analytic continuation of solutions of some nonlinear convolution partial differential equations which naturally appear in the summability theory of formal solutions of nonlinear partial differential equations. Under a suitable assumption it is proved that any local holomorphic solution has an analytic extension to a certain sector and its extension has exponential growth when the variable goes to infinity in the sector.
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Authors ;Hidetoshi Tahara
Journal zhonghua yi xue za zhi
Year 2015
DOI
http://dx.doi.org/10.7494/OpMath.2015.35.5.739
URL
http://www.opuscula.agh.edu.pl/vol35/5/art/opuscula_math_3539.pdf
Keywords
partial differential equations summability quantitative methods

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