Congreso: Workshop on Formal and Analytic Solutions of Diff. (differential, partial differential, difference, q-difference, q-difference-differential,…) Equations 2017.
Lugar: UAH, Alcalá de Henares, España.
Fechas: del 4 al 8 de septiembre de 2017.
Miembros del equipo conferenciantes:Ponente y título: Sergio A. Carrillo, Toward monomial multisummability.
Ponente y título: Javier Jiménez-Garrido, Multisummability in ultraholomorphic classes associated with log-convex sequences.
Resumen: Summability of formal power series in a direction may be dealt with in the framework of ultraholomorphic classes associated with well behaved logarithmically convex sequences. After commenting on some fundamental aspects of this tool, we will put forward a concept of multisummability in a direction with respect to a nite, ordered family of sequences with different values of their growth index $\ommega(M)$ The acceleration kernels and operators in this context are constructed through a new concept of summability kernel. In order to handle the case where the equality of growth indices occur, we need to introduce a comparability notion between the sequences, and we will discuss which results remain true in this situation and which are the obstacles appearing. Joint work with Alberto Lastra (Universidad de Alcala, Spain), Shingo Kamimoto (Hiroshima University, Japan) and Javier Sanz (Universidad de Valladolid, Spain).
Ponente y título: Alberto Lastra, On multiscale Gevrey and q-Gevrey asymptotics for some linear q-difference-differential initial value Cauchy problem.
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