Turkish Journal of Mathematics
Abstract
We present a solution of the Weiss operator family generalized for the case of R^d and formulate a d-dimensional analogue of the Weiss Theorem. Most importantly, the generalization of the Weiss Theorem allows us to find a subset of null class functions for a partial differential equation with the generalized Weiss operators. We illustrate the significance of our approach through several examples of both linear and non-linear partial differential equations.
DOI
10.3906/mat-1006-404
Keywords
Partial differential equations, Weiss operators
First Page
687
Last Page
694
Recommended Citation
BORİSENOK, S, ERKUT, M. H, POLATOĞLU, Y, & DEMİRER, R. M (2011). Multi-dimensional Weiss operators. Turkish Journal of Mathematics 35 (4): 687-694. https://doi.org/10.3906/mat-1006-404
