Yaşar POLATOĞLU, Sergey BORISENOK, M. Hakan ERKUT, Murat DEMİRER

7089

Multi-dimensional Weiss operators

We present a solution of the Weiss operator family generalized for the case of Rd 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.

Anahtar Kelimeler:

Partial differential equations, Weiss operators

Multi-dimensional Weiss operators

We present a solution of the Weiss operator family generalized for the case of Rd 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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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