Smoothness of solutions of differential equations of constant strength in Roumieu spaces
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Rachid Chaïli
Abstract
In this paper, we show that every solution of hypoelliptic differential equations of constant strength with coefficients in Roumieu spaces is in some Roumieu space.
Funding statement: This research was supported for the first author by Laboratory of Mathematical Analysis and Applications, Université d’Oran 1, and for the second author by Laboratoire de Recherche en Intelligence Artificielle et Systèmes Université de Tiaret, Algérie.
References
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Articles in the same Issue
- Frontmatter
- Some results in prime rings involving endomorphisms
- On the generalized fractional Laplace–Bessel operator
- Smoothness of solutions of differential equations of constant strength in Roumieu spaces
- Rings additively generated by certain periodic elements
- Rings whose clean elements are uniquely strongly clean
- New norm inequalities for Jensen’s gap of analytic functions in Banach algebras with applications
- On a nonlinear general eigenvalue problem in Musielak–Orlicz spaces
- Characterization of multiplicative Jordan n-higher derivations on unital rings
- The multiplicative Lie algebra on general linear groups
- The optimal control problem for systems of integro-differential equations with finite and infinite horizon
- Algebraic dependence of the Gauss maps on minimal surfaces immersed in ℝ n+1
- Nonlinear mixed Jordan-type derivations on *-algebras
- SG pseudo-differential operators in Dunkl setting
- Exploring the properties of multivariable Hermite polynomials in relation to Apostol-type Frobenius–Genocchi polynomials
- The binary products of algebras with genetic realization
-
A relationship between the structure of a quotient ring and
