Abstract
In this paper, we study a class of first order nonlinear degenerate partial differential equations with singularity at (t,x)=(0,0)∈C 2 . Using exponential-type Nagumo norm approach, the Gevrey asymptotic analysis is extended to case of holomorphic parameters in a natural way. A sharp condition is then established to deduce the k-summability of the formal solutions. Furthermore, analytical solutions in conical domains are found for each type of these nonlinear singular PDEs.
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