Results 1 to 10 of about 3,682,860 (177)
Solvability in Gevrey Classes of Some Nonlinear Fractional Functional Differential Equations [PDF]
International Journal of Differential Equations, 2020 Our purpose in this paper is to prove, under some regularity conditions on the data, the solvability in a Gevrey class of bound −1 on the interval −1,1 of a class of nonlinear fractional functional differential equations.
Hicham Zoubeir
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Microhyperbolic Operators in Gevrey Classes
Publications of the Research Institute for Mathematical Sciences, 1989 This paper considers microhyperbolic operators in Gevrey classes and proves the microlocal well-posedness of the microlocal Cauchy problem. It also establishes theorems on the propagation of singularities for microhyperbolic operators. The methods show one how to obtain microlocal results (e.g.
K. Kajitani, S. Wakabayashi
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The growth of hypoelliptic polynomials and Gevrey classes [PDF]
Proceedings of the American Mathematical Society, 1973 For given hypoelliptic polynomials P P and Q Q , classes Γ P ρ ( Ω ) \Gamma _P^\rho (\Omega ) and Γ Q ρ ( Ω ) \Gamma _Q^\rho (\Omega ) involving Gevrey type ...
E. Newberger, Z. Zielezny
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Newtons polygons and formal Gevrey classes
Publications of the Research Institute for Mathematical Sciences, 1990 Untersucht wird ein Cauchyproblem \(Pu=f(t,x)\), \(D^ j_ tu|_{t=0}=g_ j\) (0\(\leq j\leq m-1)\) wobei P die Form hat \(P=D_ t^ m+\sum_{0\leq jm\) ist. Hierzu existiert eine eindeutige Lösung \(u\in G^{\infty}\), nämlich als eine formale Potenzreihe. Gezeigt wird: es ist \(u\in G^ s\) mit \(s=1+1/k_ 1\).
Akiyoshi Yonemura
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FBI transform in Gevrey classes and Anosov flows
Astérisque, 2020 An analytic FBI transform is built on compact manifolds without boundary, that satisfies all the expected properties. It enables the study of microlocal analytic regularity on such manifolds.
Y. Bonthonneau, Malo J'ez'equel
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Gevrey Class Smoothing Effect for the Prandtl Equation [PDF]
SIAM Journal on Mathematical Analysis, 2016 It is well known that the Prandtl boundary layer equation is instable, and the well-posedness in Sobolev space for the Cauchy problem is an open problem. Recently, under the Oleinik's monotonicity assumption for the initial datum, [1] have proved the local well-posedness of Cauchy problem in Sobolev space (see also [21]).
Wei-Xi Li
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Pseudo-differential operators and Gevrey classes [PDF]
Annales de l'Institut Fourier, 1967 L. B. D. Monvel, P. Krée
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Optimal linearization of vector fields on the torus in non-analytic Gevrey classes [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéar, 2020 We study linear and non-linear small divisors problems in analytic and non-analytic regularity. We observe that the Bruno arithmetic condition, which is usually attached to non-linear analytic problems, can also be characterized as the optimal condition ...
Abed Bounemoura
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Extended Gevrey Regularity via Weight Matrices
Axioms, 2022 The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the properties of two
Nenad Teofanov, Filip Tomić
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On the regularity of the solutions and of analytic vectors for “sums of squares”
Bruno Pini Mathematical Analysis Seminar, 2023 We present a brief survey on some recent results concerning the local and global regularity of the solutions for some classes/models of sums of squares of vector fields with real-valued real analytic coefficients of H"ormander type.
Gregorio Chinni
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