Results 1 to 10 of about 142 (127)

Extended Gevrey Regularity via Weight Matrices

Axioms, 2022
The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the properties of two
Nenad Teofanov, Filip Tomić
doaj   +3 more sources

Well-Posedness in Variable-Exponent Function Spaces for the Three-Dimensional Micropolar Fluid Equations

Journal of Mathematics, 2023
In this paper, we work on the Cauchy problem of the three-dimensional micropolar fluid equations. For small initial data, in the variable-exponent Fourier–Besov spaces, we achieve the global well-posedness result.
Muhammad Zainul Abidin, Muhammad Marwan, Naeem Ullah, Ahmed Mohamed Zidan   +3 more
doaj   +2 more sources

An Introduction to Extended Gevrey Regularity

Axioms
Gevrey classes are the most common choice when considering the regularities of smooth functions that are not analytic. However, in various situations, it is important to consider smoothness properties that go beyond Gevrey regularity, for example, when ...
Nenad Teofanov, Filip Tomić, Milica Žigić   +2 more
doaj   +3 more sources

On Gevrey solvability and regularity [PDF]

Mathematische Nachrichten, 2009
AbstractIn this paper we study global C∞ and Gevrey solvability for a class of sublaplacian defined on the torus T3. We also prove Gevrey regularity for a class of solutions of certain operators that are globally C∞ hypoelliptic in the N ‐dimensional torus (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
exaly   +2 more sources

Gelfand–Shilov Spaces for Extended Gevrey Regularity

Axioms
We consider spaces of smooth functions obtained by relaxing Gevrey-type regularity and decay conditions. It is shown that these classes can be introduced by using the general framework of the weighted matrices approach to ultradifferentiable functions ...
Nenad Teofanov, Filip Tomić, Milica Žigić   +2 more
doaj   +3 more sources

Gevrey regularity for solution of the spatially homogeneous landau equation [PDF]

Acta Mathematica Scientia, 2009
In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules case.
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
exaly   +4 more sources

Gevrey regularity for a generalization of the Oleĭnik–Radkevič operator

Journal of Mathematical Analysis and Applications, 2014
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Gregorio Chinni
exaly   +5 more sources

Local Gevrey Regularity for Linearized Homogeneous Boltzmann Equation [PDF]

Journal of Function Spaces and Applications, 2012
The local Gevrey regularity of the solutions of the linearized spatially homogeneous Boltzmann equation has been shown in the non-Maxwellian case with mild singularity.
Shi-you Lin
doaj   +3 more sources

Gevrey Regularity of Invariant Curves of Analytic Reversible Mappings [PDF]

Advances in Difference Equations, 2010
We prove the existence of a Gevrey family of invariant curves for analytic reversible mappings under weaker nondegeneracy condition. The index of the Gevrey smoothness of the family could be any number , where is the exponent in the small divisors ...
Cheng Rong, Zhang Dongfeng
doaj   +4 more sources

Boundary Values in Ultradistribution Spaces Related to Extended Gevrey Regularity [PDF]

Mathematics, 2020
Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to associated functions of logarithmic-type growth at infinity.
Stevan Pilipović, Nenad Teofanov, Filip Tomić   +2 more
doaj   +4 more sources