Results 61 to 70 of about 2,630 (152)

Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness [PDF]

, 2009
In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended.
Ghisi, Marina, Gobbino, Massimo
core   +2 more sources

Solutions of Inhomogeneous Multiplicatively Advanced ODEs and PDEs with a q‐Fredholm Theory and Applications to a q‐Advanced Schrödinger Equation

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
For q > 1, a new Green’s function provides solutions of inhomogeneous multiplicatively advanced ordinary differential equations (iMADEs) of form y(N)(t) − Ay(qt) = f(t) for t ∈ [0, ∞). Such solutions are extended to global solutions on ℝ. Applications to inhomogeneous separable multiplicatively advanced partial differential equations are presented ...
David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr, Paul Eloe   +3 more
wiley   +1 more source

Gevrey Smoothing Effect for Solutions of the Non-Cutoff Boltzmann Equation in Maxwellian Molecules Case [PDF]

, 2013
In this paper we study the Gevrey regularity for the weak solutions to the Cauchy problem of the non-cutoff spatially homogeneous Botlzmann equation for the Maxwellian molecules model with the singularity exponent $s\in (0,1)$. We establish that any weak
Yin, Zhaoyang, Zhang, Teng-Fei
core  

FBI transform in Gevrey classes and Anosov flows

Astérisque
v2: Main result improved with respect to v1.
Bonthonneau, Yannick Guedes, Jézéquel, Malo   +1 more
openaire   +2 more sources

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

Philos Trans A Math Phys Eng Sci, 2023
Bachmann L, De Anna F, Schlömerkemper A, Şengül Y.   +3 more
europepmc   +1 more source

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 ...
openaire   +3 more sources

Ultradifferentiable classes of entire functions. [PDF]

Adv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source

Cauchy problem in generalized Gevrey classes [PDF]

Banach Center Publications, 2003
n ...
openaire   +1 more source

Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]

Results Math, 2023
Jiménez-Garrido J, Miguel-Cantero I, Sanz J, Schindl G.   +3 more
europepmc   +1 more source

Gevrey class regularity for the viscous Camassa–Holm equations

Applied Mathematics Letters, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongjiang Yu, Kaitai Li
openaire   +1 more source