Results 71 to 80 of about 544 (183)
Ultradifferentiable classes of entire functions. [PDF]
Adv Oper Theory, 2023 Nenning DN, Schindl G.
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Weighted gevrey class regularity of euler equation in the whole space
, 2017 In this paper we study the weighted Gevrey class regularity of Euler equation in the whole space R 3. We first establish the local existence of Euler equation in weighted Sobolev space, then obtain the weighted Gevrey regularity of Euler equation.
Xu, And Chao-Jiang +2 more
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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 ...
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Gevrey class for locally three-phase-lag thermoelastic beam system
In this article we study the behavior of the solutions for the three-phase-lag heat equation with localized dissipation on an Euler–Bernoulli beam model. We show that semigroup S(t) associated with the problem is of Gevrey class 5 for t > 0.
Quintanilla de Latorre, Ramón +2 more
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Global solutions of aggregation equations and other flows with random diffusion. [PDF]
Probab Theory Relat Fields, 2023 Rosenzweig M, Staffilani G.
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Gevrey Local Solvability for Semilinear Partial Differential Equations [PDF]
, 2002 2002 Mathematics Subject Classification: 35S05In this paper we deal with a class of semilinear anisotropic partial differential equations. The nonlinearity is allowed to be Gevrey of a certain order both in x and ∂au, with an additional condition when it
Oliaro, Alessandro
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Global Analytic and Gevrey solvability of sublaplacians under Diophantine conditions
, 2006 In this paper we consider the problem of global analytic and Gevrey solvability for a class of partial differential operators on a torus in the form of squares of vector fields.
ALBANESE, Angela Anna, POPIVANOV P.
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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 ...
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, 2002 Treves, F., [15], proved the hypoellipticity of some regular operators. Later, Hörmander, L.,[11] Durand, M., [7], and Oleinik, O.A. & Radkevic, E. V., [13], considered independently second order operators which are sum of squares of real vector fields ...
Hazi, Mohammed
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Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Results Math, 2023 Jiménez-Garrido J +3 more
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