analytic continuation of solutions of some nonlinear convolution partial differential equations
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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.
| Reference Key |
tahara2015opusculaanalytic
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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
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