Multi-dimensional Weiss operators

Authors: SERGEY BORİSENOK, MEHMET HAKAN ERKUT, YAŞAR POLATOĞLU, RÜŞTÜ MURAT DEMİRER

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.

Keywords: Partial differential equations, Weiss operators

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