Results 1 to 10 of about 3,452 (141)
A Phragmén-Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics. [PDF]
J Geom Anal, 2020 We prove that, for asymptotically bounded holomorphic functions in a sector in $\mathbb{C}$, an asymptotic expansion in a single direction towards the vertex with constraints in terms of a logarithmically convex sequence admitting a nonzero proximate ...
Jiménez-Garrido J, Sanz J, Schindl G.
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Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings [PDF]
Journal of Inequalities and Applications, 2017 This paper provides a normal form for a class of lower dimensional hyperbolic invariant tori of nearly integrable symplectic mappings with generating functions.
Shunjun Jiang
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Gevrey Hypoellipticity for a Class of Kinetic Equations [PDF]
Communications in Partial Differential Equations, 2011 In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoff.
Wei-Xi Li, Chao-Jiang Xu
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Vanishing viscosity limit of Navier–Stokes Equations in Gevrey class
Mathematical Methods in the Applied Sciences, 2017 In this paper we consider the inviscid limit for the periodic solutions to Navier-Stokes equation in the framework of Gevrey class. It is shown that the lifespan for the solutions to Navier-Stokes equation is independent of viscosity, and that the ...
Feng Cheng, Wei-Xi Li, Chao-Jiang Xu
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Gevrey Class Smoothing Effect for the Prandtl Equation [PDF]
SIAM Journal on Mathematical Analysis, 2016 It is well known that the Prandtl boundary layer equation is instable, and the well-posedness in Sobolev space for the Cauchy problem is an open problem. Recently, under the Oleinik's monotonicity assumption for the initial datum, [1] have proved the local well-posedness of Cauchy problem in Sobolev space (see also [21]).
Wei-Xi Li, Chao-Jiang Xu
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Gevrey class regularity for the viscous Camassa–Holm equations
Applied Mathematics Letters, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongjiang Yu, Kaitai Li
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Mathematics, 2021 In this paper, we consider the generalized porous medium equation. For small initial data u0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using ...
Muhammad Zainul Abidin, Jiecheng Chen
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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 +3 more
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The Growth of Hypoelliptic Polynomials and Gevrey Classes [PDF]
Proceedings of the American Mathematical Society, 1973 For given hypoelliptic polynomials P P and Q Q , classes Γ P ρ ( Ω ) \Gamma _P^\rho (\Omega ) and Γ Q ρ ( Ω ) \Gamma _Q^\rho (\Omega ) involving Gevrey type ...
Newberger, E., Zielezny, Z.
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Solvability in Gevrey Classes of Some Nonlinear Fractional Functional Differential Equations
International Journal of Differential Equations, 2020 Our purpose in this paper is to prove, under some regularity conditions on the data, the solvability in a Gevrey class of bound −1 on the interval −1,1 of a class of nonlinear fractional functional differential equations.
Hicham Zoubeir
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