Results 31 to 40 of about 518 (155)
Finite‐time local piecewise control for parabolic PDEs with ODE output feedback
IET Control Theory &Applications, Volume 16, Issue 2, Page 229-243, January 2022., 2022 Abstract This paper is devoted to the finite‐time local piecewise control for parabolic partial differential equations (PDEs) by using dynamic output feedback control strategy, where the controller is designed as an ordinary differential equation (ODE).
Manna Li, Weijie Mao
wiley +1 more source
A Paley–Wiener theorem in extended Gevrey regularity [PDF]
Journal of Pseudo-Differential Operators and Applications, 2019 In this paper we introduce appropriate associated function to the sequence $M_p=p^{\t p^{\s}}$, $p\in \N$, $\t>0$, $\s>1$, and derive its sharp asymptotic estimates in terms of the Lambert $W$ function. These estimates are used to prove a Paley-Wiener type theorem for compactly supported functions from extended Gevrey classes.
Pilipović, Stevan +2 more
openaire +2 more sources
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
doaj +1 more source
Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations [PDF]
Transactions of the American Mathematical Society, 1996 We prove results on the propagation of Gevrey and analytic wave front sets for a class of C ∞
Bove, Antonio, Tartakoff, David S.
openaire +2 more sources
On the Sharp Gårding Inequality for Operators with Polynomially Bounded and Gevrey Regular Symbols
Mathematics, 2020 In this paper, we analyze the Friedrichs part of an operator with polynomially bounded symbol. Namely, we derive a precise expression of its asymptotic expansion.
Alexandre Arias Junior, Marco Cappiello
doaj +1 more source
Gevrey class regularity of the magnetohydrodynamics equations [PDF]
The ANZIAM Journal, 2002 AbstractIn this article, we use the method of Foias and Temam to show that the strong solutions of the time-dependent magnetohydrodynamics equations in a periodic domain are analytic in time with values in a Gevrey class of functions. As immediate corollaries we find that the solutions are analytic in Hr-norms and that the solutions become smooth ...
openaire +2 more sources
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
doaj +1 more source
Gevrey class regularity for parabolic equations
Differential and Integral Equations, 2001 We consider the regularity of parabolic equations. We obtain that the solution belongs to Gevrey class 2 up to the boundary if functions in the equation belong to Gevrey class 2 in all dependent variables.
Lee, Pei-Ling, Guo, Yung-Jen Lin
openaire +3 more sources
On the sharp Gevrey regularity for a generalization of the Métivier operator
Mathematische Annalen, 2023 The sharp Gevrey hypoellipticity is provided for the following generalization of the Métivier operator, "Non-hypoellipticité analytique pour $D_{x}^{2}+\left( x^{2} + y^{2}\right)D_{y}^{2}$" by G. Métivier, \begin{align*} D_{x}^{2}+\left(x^{2n+1}D_{y}\right)^{2}+\left(x^{n}y^{m}D_{y}\right)^{2}, \end{align*} in $Ω$ open neighborhood of the origin in ...
openaire +4 more sources
Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators [PDF]
, 2008 We show a multi-anisotropic Gevrey regularity of solutions of hypoelliptic equations.
Bouzar, Chikh, Dali, Ahmed
openaire +2 more sources