On linear Landau Damping for relativistic plasmas via Gevrey regularity [PDF]
Accepted for publication in J. Diff. Eqns.
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Gevrey regularity for Navier–Stokes equations under Lions boundary conditions
The Navier--Stokes system is considered in a compact Riemannian manifold. Gevrey class regularity is proven under Lions boundary conditions: in 2D for the Rectangle, Cylinder, and Hemisphere, and in 3D for the Rectangle. The cases of the 2D Sphere and 2D and 3D Torus are also revisited.
Phan, Duy, Rodrigues, Sérgio S.
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Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]
Bachmann L +3 more
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Extending wavelet regularity beyond Gevrey classes
We construct a smooth orthonormal wavelet $ψ$ such that both $ψ$ and its Fourier transform $\widehatψ$ belong to the extended Gevrey class $\mathcal{E}_σ(\mathbb{R})$ for $σ> 1$, providing an example that lies beyond all classical Gevrey classes. Our approach uses the idea of invariant cycles to extend the initial Lemarié-Meyer support of the low ...
Tomić, Filip +2 more
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On local Gevrey regularity for Gevrey vectors of subelliptic sums of squares: an elementary proof of a sharp Gevrey Kotake–Narasimhan theorem [PDF]
We study the regularity of Gevrey vectors for H rmander operators $$ P = \sum_{j=1}^m X_j^2 + X_0 + c$$ where the $X_j$ are real vector fields and $c(x)$ is a smooth function, all in Gevrey class $G^{s}.$ The principal hypothesis is that $P$ satisfies the subelliptic estimate: for some $\varepsilon >0, \; \exists \,C$ such that $$\|v\|_\varepsilon ...
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Gevrey regularity of subelliptic Monge–Ampère equations in the plane
22 ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
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Ultradifferentiable classes of entire functions. [PDF]
Nenning DN, Schindl G.
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Gevrey regularity for a generalization of the Oleĭnik–Radkevič operator
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GUSTAVO ADOLFO MUÑOZ FERNANDEZ +1 more
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Global solutions of aggregation equations and other flows with random diffusion. [PDF]
Rosenzweig M, Staffilani G.
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Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients
The authors consider the Cauchy problem for a second-order hyperbolic equation in the Gevrey class \(\gamma^s\) \[ \begin{gathered} u_{tt}(t, x)- \sum^n_{j,k=1} a_{jk}(t) \partial_{x_j}\partial_{x_k} u(t, x)= 0\quad \text{in }[0,T]\times \mathbb{R}^n,\\ u(0,x)= \phi(x),\quad u_t(0, x)= \psi(x).\end{gathered} \] They proved that if the coefficient \(a(t,
COLOMBINI, FERRUCCIO +2 more
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