Multi-dimensional Weiss operators

Authors

SERGEY BORİSENOK
MEHMET HAKAN ERKUT
YAŞAR POLATOĞLU
RÜŞTÜ MURAT DEMİRER

DOI

10.3906/mat-1006-404

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

First Page

687

Last Page

694

Recommended Citation

BORİSENOK, SERGEY; ERKUT, MEHMET HAKAN; POLATOĞLU, YAŞAR; and DEMİRER, RÜŞTÜ MURAT (2011) "Multi-dimensional Weiss operators," Turkish Journal of Mathematics: Vol. 35: No. 4, Article 8. https://doi.org/10.3906/mat-1006-404
Available at: https://journals.tubitak.gov.tr/math/vol35/iss4/8