Multisummability of formal solutions of some linear partial differential equations
The author treats formal power series solutions \(\widetilde u(t,x)= \sum^\infty_{n=1} u_n(x)t^n\) of a linear partial differential equation in \(\mathbb{C}^{d+1}\) \[ P(t,x,\partial_t,\partial_x) u(t,x)=f(t,x),\;(t,x)\in \mathbb{C}\times \mathbb{C}^d. \] {}.
scientific article; zbMATH DE number 1884211