Harmonic generalized functions in generalized function algebras
The analysis of properties of harmonic generalized functions within the framework of Colombeau theory is carried out. The authors present generalizations of the maximum principle and Liouville's theorem for harmonic generalized functions. The Dirichlet problem is solved by an application of the Poisson formula in the framework of generalized functions.
differential algebras of generalized functions
scientific article; zbMATH DE number 5899556
scientific article