On Pseudo-Differential Algebraic Functions

Ibrahim Hamza; Isamaldien Banani

doi:https://doi.org/10.14445/22315373/IJMTT-V57P535

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 4 | Year 2018 | Article Id. IJMTT-V57P535 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P535

On Pseudo-Differential Algebraic Functions

Ibrahim Hamza, Isamaldien Banani

Abstract

This paper develops pseudo-differential algebraic functions which unequivocally incorporate most typical conventional systems and problems of the parabolic limit value discerned forms. Therefore, to achieve this, this paper develops a pseudo-differential parabolic operator’s theory in anisotropic spaces. A significant calculus is developed for various classical symbols which are defined universally by ℝ𝑛+1 ∗ ℝ𝑛+1 . A periodical procedure regarding the symbolic calculus in a cylinder such that 𝑇 𝑛 ∗ ℝ is developed. The Garding’s inequality is exhibited for its appropriate operators as well as definite estimates for the vital criterion of the Sobolev anisotropic spaces.

Keywords

Pseudo-differential operator, Garding’s inequality, quasi-homogeneous functions

References

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Citation :

Ibrahim Hamza, Isamaldien Banani, "On Pseudo-Differential Algebraic Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 4, pp. 249-255, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P535