Ultradifferential operators in the study of Gevrey solvability and regularity
A essência desta tese são resultados e aplicações da teoria de operadores de ordem infinita. A ideia central deste trabalho é um teorema de representação de ultradistribuições a partir de operadores ultradiferenciais agindo em funções Gevrey.
Ragognette, Luis Fernando +1 more
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On Gevrey regularity of globally C∞ hypoelliptic operators
We prove Gevrey regularity for a class of operators defined on the torus Tm+n, with real analytic coefficients in Tm, and which are globally C∞ hypoelliptic.
Himonas, A. Alexandrou +1 more
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Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]
Bachmann L +3 more
europepmc +1 more source
Ultradifferentiable classes of entire functions. [PDF]
Nenning DN, Schindl G.
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Multianisotropic Gevrey Regularity and Iterates of Operators with Constant Coefficients
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Calvo, Daniela, Hakobyan, Gagik H.
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Gevrey regularity of the solutions of inhomogeneous nonlinear partial differential equations
International audienceIn this article, we are interested in the Gevrey properties of the formal power series solutions in time of some inhomogeneous nonlinear partial differential equations with analytic coefficients at the origin of Cn+1.
Remy, Pascal
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On the Local Regularity of the Gevrey Vectors for Hörmander’s Operators
We study the local regularity of the analytic/Gevrey vectors for the general class of Hörmander’s operators, meaning those of degenerate elliptic type or of degenerate parabolic type, thus improving the result obtained by M. Derridj in 2019 (Tunisian J Math 1(3):321–345, 2019).
Chinni, Gregorio, Derridj, Makhlouf
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Global solutions of aggregation equations and other flows with random diffusion. [PDF]
Rosenzweig M, Staffilani G.
europepmc +1 more source
Existence and generalized Gevrey regularity of solutions to the Kuramoto–Sivashinsky equation in Rn
Motivated by the work of Foias and Temam [C. Foias, R. Temam, Gevrey class regularity for the solutions of the Navier–Stokes equations, J. Funct. Anal.
Swanson, David, Biswas, Animikh
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Double exponential quadrature for fractional diffusion. [PDF]
Rieder A.
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