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arXiv · 2103.15879

Summable solutions of the Goursat problem for some partial differential equations with constant coefficients

Sławomir Michalik
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Abstract

We consider the Goursat problem for linear partial differential equations with constant coefficients in two complex variables. We find the conditions for summable solutions of the Goursat problem in the case when the Newton polygon has exactly one side with a positive slope.

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Sławomir Michalik. 2021-03-29. Summable solutions of the Goursat problem for some partial differential equations with constant coefficients. https://doi.org/10.1016/j.jde.2021.10.004

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