Results 21 to 30 of about 429 (166)

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 ...
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Propriétés de l'intersection des classes de Gevrey et de certaines autres classes [PDF]

, 1998
RésuméOn sait que, dans le cadre des classes de Gevrey comme dans le cas des classes Ck, une perte de régularité est inévitable lors de la division par un polynôme générique.
Chaumat, Jacques, Chollet, Anne-Marie
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On the well-posedness of weakly hyperbolic equations with time-dependent coefficients [PDF]

, 2012
30.10.12 KB.
Garetto, Claudia, Garetto, C, Claudia Garetto, Claudia Garetto (1253247), Ruzhansky, M, Michael Ruzhansky (7160006), Ruzhansky, Michael, Michael Ruzhansky   +7 more
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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.
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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
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one

Open Mathematics, 2019
It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
doaj   +1 more source

Decay Estimates and Gevrey Smoothing for a Strongly Damped Plate Equation: Gevrey Spaces Meet Math Everywhere! [PDF]

, 2020
In this note, we study a damped plate equation. On the one hand, the action of the damping creates a smoothing effect in Gevrey classes, on the other hand, it dissipates the energy of the ...
D'Abbicco M.
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On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis

Open Mathematics, 2019
Given the abstract evolution ...
Markin Marat V.
doaj   +1 more source

Gevrey regularity of subelliptic Monge-Ampère equations in the plane [PDF]

, 2011
In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge–Ampère equations in the plane. Under the assumptions that one principal entry of the Hessian is strictly positive and the coefficient of the equation is ...
Xu, Chao-Jiang, Li, Wei-Xi,, Chen, Hua, Lund University.   +3 more
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The Baouendi-Treves approximation Theorem for Gevrey classes and applications [PDF]

, 2019
In this work we show how to extend the seminal Baouendi-Treves approximation theorem for Gevrey functions and ultradistributions. As applications we present a Gevrey version of the approximate Poincar\'e Lemma and study ultradistributions vanishing on ...
Ragognette, Luis F., Hoepfner, Gustavo, Medrado, Renan D.   +2 more
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