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Solvability for semilinear PDE with multiple characteristics

Alessandro OliaroLuigi Rodino — 2003

Banach Center Publications

We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity k ≥ 2 and data are fixed in G σ , 1 < σ < k/(k-1). The nonlinearity, containing derivatives of lower order, is assumed of class G σ with respect to all variables.

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