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We show that a new method based on the combination of the two variable Lagrange expansion and of operational techniques can be exploited to derive new families of mixed generating functions for many variable many index special functions.
We study a free boundary problem corresponding to a model for the Dam problem with generalized boundary conditions. Concentrating ourselves on a two dimensional example, we establish various properties of the solution, study the regularity of the free boundary and prove the uniqueness of the...
We define a class of weak solutions to hyperbolic systems of balance laws, in one space dimension; they are called here stratified solutions. For such solutions we prove some results about the propagation, the life span and the initial-value problem.
Fix integersg, k andt witht>0,k≥3 andtk
SuntoIn questa Nota, si affronta il problema del comportamento asintotico nel tempo di perturbazioni alla quiete per il sistema di equazioni per un fluido comprimibile, viscoso e politropico. Ammesso che esista una soluzione regolare globale, si dimostra, sotto l’ipotesi che il gradiente della...
We propose precise estimates of the critical index of Gevrey solvability of some classes of linear partial differential equations with multiple characteristics.
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