Borel Summability of Divergent Solutions for Singular First Order Linear Partial Differential Equations with Polynomial Coefficients

摘要

ThispaperisconcernedwiththestudyoftheBorelsummabilityofdivergentpowerseriessolutionsforsingularfirstorderlinearpartialdifferentialequationsofnilpotenttype.TheconditionsunderwhichformalsolutionsareBorelsummablearegivenbyanalyticcontinuationpropertiesandgrowth(ordecreasing)estimatesforcoefficients.