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Abstract: We provide sufficient conditions of local solvability for partialdifferential operators with variable Colombeau coefficients. We mainlyconcentrate on operators which admit a right generalized pseudodifferentialparametrix and on operators which are a bounded perturbation of a differentialoperator with constant Colombeau coefficients. The local solutions are intendedin the Colombeau algebra $\G\Om$ as well as in the dual$\LL\Gc\Om,\wt{\C}$.



Author: Claudia Garetto

Source: https://arxiv.org/







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