Results 61 to 70 of about 3,682,860 (177)

Resurgent aspects of applied exponential asymptotics

Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.
Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley   +1 more source

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 Classes on Compact Real Analytic Riemannian Manifolds

Tokyo Journal of Mathematics, 1995
The authors study Gevrey classes on compact real analytic Riemannian manifolds \(X\) (without boundary) characterizing them by means of the growth behaviour of the coefficients of eigenfunctions expansions for the Laplace-Beltrami operator corresponding to the metric \(g\) of \(X\). Special attention paid to the case \(X\) is the \(n\)-dimensional unit
FUJITA, Keiko, MORIMOTO, Mitsuo
openaire   +3 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

Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 2000
The author considers the hyperbolic system \[ \begin{gathered} [I_4 D_t+ A(t) D_x+ B(t)]u(t,x)= 0,\\ u(0,x)= u_0(x)\end{gathered} \] in \(\Omega= [0,T]\times \mathbb{R}^1_x\) where \(I_4\) denotes the unit matrix of order 4 and \[ A(t)= \begin{pmatrix} \lambda(t) & 1 & 0 & 0\\ 0 &\lambda(t) & a(t) & 0\\ 0 & 0 & \mu(t) & 1\\ 0 & 0 & 0 & \mu(t)\end ...
openaire   +2 more sources

Ultradifferentiable classes of entire functions. [PDF]

Adv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +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 estimates of the resolvent and sub-exponential time-decay of solutions

, 2017
In this article, we study a class of non-selfadjoint Schr{\"o}dinger operators H which are perturbation of some model operator H 0 satisfying a weighted coercive assumption.
Wang, Xue Ping
core  

Double exponential quadrature for fractional diffusion. [PDF]

Numer Math (Heidelb), 2023
Rieder A.
europepmc   +1 more source

Gevrey Regularity for Solution of the Spatially Homogeneous Landau Equation

, 2009
In this paper, we study the Gevrey class regularity for solutions of the spatially homogeneous Landau equations in the hard potential case and the Maxwellian molecules ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
core   +1 more source