On integral representations of correct restrictions and regular extensions of differential operators
In the paper under review, the authors, by using fundamental solutions, obtain integral representations for the elements of the correct restriction and the regular extension of the differential equations \[ Lu= \sum_{|\alpha|\leq p} a_\alpha(x)D^\alpha u=f(x) \] and \[ L^+u= \sum_{|\alpha|\leq p} (-1)^{|\alpha|} D^\alpha( a_\alpha(x) u)=g(x), \] where \(a_\alpha(x)\in C^p(\overline\Omega)\) and \(\Omega\subset\mathbb R^n\) is a smooth domain.
scientific article; zbMATH DE number 5816870