Sufficient conditions of local solvability for partial differential operators on spaces of colombeau type
journal contributionposted on 20.04.2015, 10:24 by Claudia Garetto
We provide sufficient conditions of local solvability for partial differential operators with variable Colombeau coefficients. We mainly concentrate on operators which admit a right generalized pseudodifferential parametrix and on operators which are a bounded perturbation of a differential operator with constant Colombeau coefficients. The local solutions are intended in the Colombeau algebra G(Ω) as well as in the dual L(G c(Ω), ℂ̃). © 2009 Texas State University - San Marcos.
Author was supported by grant T305-N13 from FWF, Austria.
- Mathematical Sciences