20 citations · 86 across the 50 of their papers we have counts for
5 papers · 2 filters
Maillet type theorem for nonlinear totally characteristic partial differential equations
Alberto Lastra, Hidetoshi Tahara
The paper discusses a holomorphic nonlinear singular partial differential equation under the assumpt…
Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders
Javier Jiménez-Garrido, Shingo Kamimoto, Alberto Lastra +1
We introduce a general multisummability theory of formal power series in Carleman ultraholomorphic classes. The finitely many levels of summation are determined by pairwise compara…
On parametric Gevrey asymptotics for initial value problems with infinite order irregular singularity and linear fractional transforms
Alberto Lastra, Stéphane Malek
This paper is a continuation a previous work of the authors where parametric Gevrey asymptotics for singularly perturbed nonlinear PDEs has been studied. Here, the partial differen…
On parametric Gevrey asymptotics for some initial value problems in two asymmetric complex time variables
Alberto Lastra, Stéphane Malek
We study a family of nonlinear initial value partial differential equations in the complex domain under the action of two asymmetric time variables. Different Gevrey bounds and mul…
On parametric Gevrey asymptotics for some nonlinear initial value problems in two complex time variables
Alberto Lastra, Stephane Malek
The asymptotic behavior of a family of singularly perturbed PDEs in two time variables in the complex domain is studied. The appearance of a multilevel Gevrey asymptotics phenomeno…