Results 61 to 70 of about 544 (183)

KdV-type equations in projective Gevrey spaces

open access: yes, 2023
We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces.
Alexandre Arias Junior   +5 more
core   +1 more source

Decay of singular values for infinite-dimensional systems with Gevrey regularity [PDF]

open access: yes, 2020
We consider the decay rate of the singular values of the input map, the output map and the Hankel operator for a class of infinite-dimensional systems. This class is characterized by the control operator (or the observation operator) having a smoothing ...
Opmeer, Mark
core   +1 more source

Gevrey regularity of subelliptic Monge-Ampère equations in the plane

open access: yes, 2011
In this paper, we establish the Gevrey regularity of solutions for a class of degenerate Monge–Ampère equations in the plane. Under the assumptions that one principal entry of the Hessian is strictly positive and the coefficient of the equation is ...
Xu, Chao-Jiang   +3 more
core   +2 more sources

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

open access: yesPhilos Trans A Math Phys Eng Sci, 2023
Bachmann L   +3 more
europepmc   +1 more source

FBI transform in Gevrey classes and Anosov flows

open access: yesAstérisque
v2: Main result improved with respect to v1.
Bonthonneau, Yannick Guedes   +1 more
openaire   +2 more sources

Gevrey class smoothing effect for the Prandtl equation

open access: yes, 2015
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.
Xu, Chao-Jiang, Li, Weixi, Wu, Di
core  

The adiabatic theorem for switching processes with Gevrey class regularity

open access: yes, 2000
The adiabatic theorem in quantum mechanics can be understood as an effect of phase space tunneling. This allows us to use microlocal methods from the theory of pseudo differential operators to proof an adiabatic theorem where the Hamiltonian (as a ...
Jung, K. (Berlin Technische Univ. (Germany). Fachbereich 3 - Mathematik)   +1 more
core  

Gevrey regularity for the supercritical quasi-geostrophic equation

open access: yes, 2014
In this paper, following the techniques of Foias and Temam, we establish suitable Gevrey class regularity of solutions to the supercritical quasi-geostrophic equations in the whole space, with initial data in “critical” Sobolev spaces.
Biswas, Animikh
core   +1 more source

Gevrey hypoellipticity for linear and non-linear Fokker-Planck equations

open access: yes, 2009
This paper studies the Gevrey regularity of weak solutions of a class of linear and semilinear Fokker-Planck ...
Xu, Chao-Jiang, Chen, Hua, Li, Wei-Xi
core   +2 more sources

Gevrey type solutions of nonlinear difference equations

open access: yes, 2006
We prove the existence of Gevrey type solutions for locally analytic, nonlinear difference equations possessing a formal solution that belongs to some (generalized) Gevrey class of divergent power series in z(-1/p). We consider different types of domains:
Immink, G.K.
core   +2 more sources

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