Abstract
We consider a class of quasilinear fuchsian operators $Q$ of order $m\geq 1$, holomorphic in a neighborhood of the origin in $\mathbf{C}_{t} \times \mathbf{C}_{x}^{n}$, and having a simple characteristic hypersurface transverse to $S$: $t=0$. Under an assumption on the linear part of $Q$, we construct solutions of the problem $Qu=v$ in spaces of ramified functions of slow growth. The result is an extension of [15] to the quasilinear case.
Citation
Patrice Pongérard. "Solutions ramifiées à croissance lente de certaines équations de Fuchs quasi-linéaires." Osaka J. Math. 47 (1) 157 - 176, March 2010.
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