Results 1 to 10 of about 3,445 (164)
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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Almost periodic pseudodifferential operators and Gevrey classes [PDF]
Annali di Matematica Pura ed Applicata, 2011 We study almost periodic pseudodifferential operators acting on almost periodic functions $G_{\rm ap}^s(\rr d)$ of Gevrey regularity index $s \geq 1$. We prove that almost periodic operators with symbols of H\"ormander type $S_{\rho,\delta}^m$ satisfying
Oliaro, Alessandro +2 more
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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
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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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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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On the analyticity and Gevrey class regularity up to the boundary for the Euler Equations [PDF]
, 2010 We consider the Euler equations in a three-dimensional Gevrey-class bounded domain. Using Lagrangian coordinates we obtain the Gevrey-class persistence of the solution, up to the boundary, with an explicit estimate on the rate of decay of the Gevrey ...
Baouendi M S Goulaouic C +18 more
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Smooth Gevrey normal forms of vector fields near a fixed point [PDF]
, 2013 We study germs of smooth vector fields in a neighborhood of a fixed point having an hyperbolic linear part at this point. It is well known that the "small divisors" are invisible either for the smooth linearization or normal form problem.
Stolovitch, Laurent
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Microhyperbolic Operators in Gevrey Classes
Publications of the Research Institute for Mathematical Sciences, 1989 This paper considers microhyperbolic operators in Gevrey classes and proves the microlocal well-posedness of the microlocal Cauchy problem. It also establishes theorems on the propagation of singularities for microhyperbolic operators. The methods show one how to obtain microlocal results (e.g.
Kajitani, Kunihiko +1 more
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Gevrey class regularity for analytic differential-delay equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper considers differential-delay equations of the form \[x'(t)=p(t)x(t-1),\] where the coefficient function $p\colon\mathbb{R}\rightarrow\mathbb{C}$ is analytic and not bounded on any $\delta$-neighborhood of the intervals $\left(-\infty,\gamma ...
Roger Nussbaum, Gabriella Vas
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