Results 1 to 10 of about 168 (145)
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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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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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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Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces
Advanced Nonlinear Studies, 2018 This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
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Bruno Pini Mathematical Analysis Seminar, 2015 In this article, we show that under some coercive assumption on the complex-valued potential V(x), the derivatives of the resolvent of the non-selfadjoint Schröinger operator H = −∆ + V(x) satisfy some Gevrey estimates at the threshold zero.
Xue Ping Wang
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Electronic Journal of Differential EquationsThis article studies the Cauchy problem of the 3D generalized incompressible magnetohydrodynamic equations in critical Fourier-Triebel-Lizorkin-Morrey spaces.
Teng Ma, Lihui Guo
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ITEGAM-JETIAIn this article, we demonstrate the weakly hyperbolic Cauchy problem under Hölder's regularity of a coefficient depending on time in the context of M-ultradifferentiable well-posedness.
Said Bouaziz +2 more
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Solvability of a system of totally characteristic equations related to Kahler metrics
Electronic Journal of Differential Equations, 2017 We consider a system of equations composed of a higher order singular partial differential equation of totally characteristic type and several higher order non-Kowalevskian linear equations. This system is a higher order version of a system that arose
Jose Ernie C. Lope, Mark Philip F. Ona
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