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Title: Sufficient conditions of local solvability for partial differential operators on spaces of colombeau type
Authors: Garetto, Claudia
Keywords: Algebras of generalized functions
Generalized solutions of partial differential equations
Issue Date: 2009
Publisher: © Department of Mathematics, Texas State University
Citation: GARETTO, C., 2009. Sufficient conditions of local solvability for partial differential operators on spaces of colombeau type. Electronic Journal of Differential Equations, 116, pp. 1 - 43.
Abstract: 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.
Description: This article was published in the Electronic Journal of Differential Equations [© Texas State University]. It is also available at: http://ejde.math.txstate.edu/Volumes/2009/116/garetto.pdf
Sponsor: Author was supported by grant T305-N13 from FWF, Austria.
Version: Published
URI: https://dspace.lboro.ac.uk/2134/17308
Publisher Link: http://ejde.math.txstate.edu
Appears in Collections:Published Articles (Maths)

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