On the summability of divergent power series satisfying singular PDEs

Baouendi, 1983, Cauchy problems with characteristic initial hypersurface, Commun. Pure Appl. Math., 26, 455, 10.1002/cpa.3160260403

Bourbaki, 1967, Éléments de mathématique, fasc. XXXIII, vol. 1333

Carrillo, 2018, An extension of Borel–Laplace methods and monomial summability, J. Math. Anal. Appl., 457, 461, 10.1016/j.jmaa.2017.08.028

Chen, 2012, Formal solutions for first-order nonlinear PDEs with irregular singularity, J. Math. (Wuhan), 32, 729

H. Chen, Z. Luo, C. Zhang, Summability of formal solutions of singular PDEs by means of two-dimensional Borel–Laplace method, preprint.

Chen, 2000, On the holomorphic solution of non-linear totally characteristic equations, Math. Nachr., 219, 85, 10.1002/1522-2616(200011)219:1<85::AID-MANA85>3.0.CO;2-K

Gérard, 1996, Singular Nonliear Partial Differential Equations, vol. 28

Luo, 2012, Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations, Ann. Inst. Fourier (Grenoble), 62, 571, 10.5802/aif.2688

Luo, 2014, On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation, Adv. Math., 252, 652, 10.1016/j.aim.2013.11.006

Majima, 1984, Asymptotic Analysis for Integrable Connections with Irregular Singular Points, vol. 1075

Mozo-Fernández, 1999, Topological tensor products and asymptotic developments, Ann. Fac. Sci. Toulouse Math. (6), 8, 281, 10.5802/afst.933

Ramis, 2004, Gevrey asymptotics and applications to holomorphic ordinary differential equations, vol. 2, 44

Tahara, 1979, Fuchsian type equations and Fuchsian hyperbolic equations, Jpn. J. Math., 5, 245, 10.4099/math1924.5.245

Zurro, 1997, A new Taylor type formula and C∞ extensions for asymptotically developable functions, Stud. Math., 123, 151, 10.4064/sm-123-2-151-163