20 citations · 86 across the 50 of their papers we have counts for
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Multi-level Gevrey solutions of singularly perturbed linear partial differential equations
Alberto Lastra, Stéphane Malek
We study the asymptotic behavior of the solutions related to a family of singularly perturbed linear partial differential equations in the complex domain. The analytic solutions ob…
On parametric Gevrey asymptotics for some Cauchy problems in quasiperiodic function spaces
Alberto Lastra, Stéphane Malek
We investigate Gevrey asymptotics for solutions to nonlinear parameter depending Cauchy problems with -periodic coefficients, for initial data living in a space of quasiperiodi…
On parametric Gevrey asymptotics for some nonlinear initial value Cauchy problems
Alberto Lastra, Stéphane Malek
We study a nonlinear initial value Cauchy problem depending upon a complex perturbation parameter with vanishing initial data at complex time and whose coefficients depen…
Summability in general Carleman ultraholomorphic classes
Alberto Lastra, Stephane Malek, Javier Sanz
A definition of summability is put forward in the framework of general Carleman ultraholomorphic classes in sectors, so generalizing summability theory as developed by J.-P. Ra…