@article{Soto2022, 
author = {John Paolo O. Soto and Jose Ernie C. Lope and Mark Philip F. Ona},
title = {Uniformly analytic solutions to a class of singular partial differential equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {10400-10421},
keywords = {uniformly analytic functions, singular partial differential equation},
url = {https://www.sciopen.com/article/10.3934/math.2022580},
doi = {10.3934/math.2022580},
abstract = {We study the singular nonlinear partial differential equation    t      ∂    t    u  =  F  (  t  ,  x  ,  u  ,      ∂    x    u  ), where    (  t  ,  x  )  ∈      R    ×            R        n  . Under some growth conditions on the coefficients of the partial Taylor expansion of    F, we construct the unique solution that is continuous in    t and        C    ∞   in    x.}
}