On the summability of formal solutions for doubly singular nonlinear partial differential equations
The author studies singularly perturbed nonlinear PDEs of irregular type in the complex domain. Using the Borel-Laplace transforms he constructs actual holomorphic solutions of this problem. He shows that this holomorphic solutions have a common formal power series asymptotic expansion of Gevrey order 1 in the perturbation parameter.
scientific article; zbMATH DE number 6057757
scientific article