Results 111 to 120 of about 168 (145)
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FBI transforms in Gevrey classes
Journal d'Analyse Mathématique, 1997The following theorem is proved: Let \({\mathcal O}\) be a Gevrey \(s\) strictly convex obstacle, \(1 \leq s < 3\). Then for every positive \(\varepsilon\) there are only finitely many resonances in the region \(\{ k \in {\mathbb C} \mid\text{Re }k \geq 1, \text{ Im } k \geq -(C_{0, a} - \varepsilon) (\text{Re } k)^{1/3} \}\).
Lascar, Bernard, Lascar, Richard
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On the L∞ stability of Prandtl expansions in the Gevrey class
Science China Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Qi, Wu, Di, Zhang, Zhifei
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NONLINEAR HYPERBOLIC CAUCHY PROBLEMS IN GEVREY CLASSES
Chinese Annals of Mathematics, 2001The authors consider the quasilinear Cauchy problem \[ \sum_{ |\alpha|\leq m}a_\alpha (t,x,D^\beta_{t,x} u)D^\alpha_{t,x} u=f(t,x, D^\beta_{t,x}u), \] \[ D^j_t u|_{t=0}=0,\;0\leq ...
CICOGNANI M., ZANGHIRATI, Luisa
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Gevrey-Hypoellipticity for a Class of Totally Characteristic Operators
Acta Mathematica Scientia, 2000The paper presents several new results concerning the Gevrey hypoellipticity of the totally characteristic operators of the form \[ P=t^m D^m_t+ \sum^m_{j=1} P_j(t,x, D_x)t^{m-j} D_t^{m-j}, \] where \(x\in \mathbb{R}^n\) denotes the tangential variable, and \(t\geq 0\) is the normal variable (with the boundary at \(t=0)\).
Tian, Yan, Zhou, Di, Chen, Hua
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Cauchy Problem in the Gevrey Classes
2017In Chap. 6 we showed that there exists a second order differential operator of spectral type 2 on Σ with bicharacteristics tangent to the double characteristic manifold for which the Cauchy problem is ill-posed in the Gevrey class of order s for any s > 5 even though the Levi condition is satisfied.
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Smoothing effect in Gevrey classes for Schrodinger equations
ANNALI DELL UNIVERSITA DI FERRARA, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regularly hyperbolic systems and Gevrey classes
Annali di Matematica Pura ed Applicata, 1985This paper deals with the first order Cauchy problem \[ (1)\quad \partial U/\partial t=\sum A_ h(t,x) \partial U/\partial x_ h+B(t,x),\quad U(0,x)=g(x), \] \(0\leq t\leq T\), \(x\in {\mathbb{R}}^ n\), where \(A_ h\) (1\(\leq h\leq n)\) and \(B\) are \(N\times N\) real matrices, while U and g are real \(N\)-vectors. System (1) is assumed to be regularly
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Gevrey Class Regularity for the Global Attractor of a Two-Dimensional Non-Newtonian Fluid
Acta Mathematica Scientia, 2022Zhao Caidi, T Tachim Medjo
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Multi-anisotropic Gevrey classes and ultradistributions
2008We consider a relevant generalization of the standard Gevrey classes, the so-called multi-anisotropic spaces, defined in terms of a given complete polyhedron. With respect to the previous literature on the subject, we concentrate here in the study of the topology. It is defined as inductive and projective limit of Banach spaces, in two equivalent ways,
Calvo, Daniela, MORANDO, Alessandro
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