Results 61 to 70 of about 1,300,131 (168)

Global regularity in ultradifferentiable classes [PDF]

, 2014
We study $\omega$-regularity of the solutions of certain operators that are globally $C^\infty$-hypoelliptic in the N-dimensional torus. We also apply these results to prove the global $\omega$-regularity for some classes of sublaplacians.
ALBANESE, Angela Anna, Jornet Casanova, David, D. Jornet, Albanese, Angela A.   +3 more
core   +2 more sources

Gevrey hypoellipticity of a class of pseudodifferential operators [PDF]

Tohoku Mathematical Journal, 1987
Let a(x,D) be a pseudo-differential operator of type \(S^ m_{\rho,\delta (\Omega)}\). Let its symbol a(x,\(\xi)\) satisfy the conditions: 1) \(| a(x,\xi)| \geq c| \xi |^{m'}\), \(| \xi | \geq B;\) 2) \(| a^{(\alpha)}_{(\beta)}(x,\xi)| \leq C_ 0C_ 1^{| \alpha +\beta |}B!^{\sigma}| a(x,\xi)| (1+| \xi |)^{-\rho | \alpha | +\delta | \beta |}\), \(x\in ...
openaire   +3 more sources

Band-limited wavelets beyond Gevrey regularity [PDF]

It is known that a smooth function of exponential decay at infinity can not be an orthonormal wavelet. Dziuba\'nski and Hern\'andez constructed smooth orthonormal wavelets of Gevrey type subexponential decay. We weaken the Gevrey type decay and construct
Tomić, Filip, Teofanov, Nenad, Tutić, Stefan   +2 more
core  

Extending Wavelet Regularity Beyond Gevrey Classes

Mediterranean Journal of Mathematics
Abstract We present a general construction of smooth orthonormal wavelet $$\psi $$ ψ which, together with ...
Filip Tomić, Stefan Tutić, Milica Žigić   +2 more
openaire   +2 more sources

On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference-differential initial value Cauchy problems [PDF]

, 2017
We study the asymptotic behavior of the solutions related to a singularly perturbed q-difference-differential problem in the complex domain. The analytic solution can be splitted according to the nature of the equation and its geometry so that both ...
A. Lastra, Lastra Sedano, Alberto, Malek, Stephane, S. Malek   +3 more
core   +1 more source

Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]

Philos Trans A Math Phys Eng Sci, 2023
Bachmann L, De Anna F, Schlömerkemper A, Şengül Y.   +3 more
europepmc   +1 more source

On the Reconstruction Theorem of Holonomlc Modules In the Gevrey Classes

Publications of the Research Institute for Mathematical Sciences, 1991
The aim of this paper is to extend a remarkable result due to \textit{T. Kashiwara} and \textit{M. Kawai} [ibid. 17, 813-979 (1981; Zbl 0505.58033)]which asserts that if \({\mathfrak M}\) is a holonomic \({\mathcal E}_ X\) module then there exists an holonomic \({\mathcal E}_ X\) module \({\mathfrak M}_{\text{reg}}\) with regular singularities such ...
openaire   +3 more sources

Gevrey Order and Summability of Formal Series Solutions of some Classes of Inhomogeneous Linear Partial Differential Equations with Variable Coefficients

, 2016
International audienceWe investigate Gevrey order and summability properties of formal power series solutions of some classes of inhomogeneous linear partial differential equations with variable coefficients and analytic initial conditions. In particular,
Remy, Pascal
core   +1 more source

Ultradifferentiable classes of entire functions. [PDF]

Adv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source

Evolution for overdetermined systems in (small) Gevrey classes

, 2009
Given a system of linear partial differential operators with constant coefficients whose affine algebraic varieties V have dimension 1, we establish in which classes of (small) Gevrey functions the associated Cauchy problem admits at least one solution ...
BOITI, Chiara, R. Meise
core