On Parametric Gevrey Asymptotics for Some Initial Value Problems in Two Asymmetric Complex Time Variables
نویسندگان
چکیده
منابع مشابه
On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems
We study a nonlinear initial value Cauchy problem depending upon a complex perturbation parameter with vanishing initial data at complex time t = 0 and whose coefficients depend analytically on ( , t) near the origin in C and are bounded holomorphic on some horizontal strip in C w.r.t the space variable. This problem is assumed to be non-Kowalevskian in time t, therefore analytic solutions at t...
متن کاملOn multiscale Gevrey and q−Gevrey asymptotics for some linear q−difference differential initial value Cauchy problems
We study the asymptotic behavior of the solutions related to a singularly perturbed q-differencedifferential problem in the complex domain. The analytic solution can be splitted according to the nature of the equation and its geometry so that both, Gevrey and q−Gevrey asymptotic phenomena are observed and can be distinguished, relating the analytic and the formal solution. The proof leans on a ...
متن کاملOn parametric Gevrey asymptotics for some Cauchy problems in quasiperiodic function spaces
We investigate Gevrey asymptotics for solutions to nonlinear parameter depending Cauchy problems with 2π-periodic coefficients, for initial data living in a space of quasiperiodic functions. By means of the Borel-Laplace summation procedure, we construct sectorial holomorphic solutions which are shown to share the same formal power series as asymptotic expansion in the perturbation parameter. W...
متن کاملMultiscale Gevrey asymptotics in boundary layer expansions for some initial value problem with merging turning points
We consider a nonlinear singularly perturbed PDE leaning on a complex perturbation parameter . The problem possesses an irregular singularity in time at the origin and involves a set of so-called moving turning points merging to 0 with . We construct outer solutions for time located in complex sectors that are kept away from the origin at a distance equivalent to a positive power of | | and we ...
متن کاملOn parametric multilevel q−Gevrey asymptotics for some linear q-difference-differential equations
We study linear q−difference-differential equations, under the action of a perturbation parameter . This work deals with a q−analog of the research made in [8] giving rise to a generalization of the work [10]. This generalization is related to the nature of the forcing term which suggests the use of a q−analog of an acceleration procedure. The proof leans on a q−analog of the so-called Ramis-Si...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2018
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-018-0914-6