We give necessary and sufficient conditions for the formal power series solutions to the initial value problem for the Burgers equation to be convergent or Borel summable.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-2-9, author = {Grzegorz \L ysik}, title = {Borel summable solutions of the Burgers equation}, journal = {Annales Polonici Mathematici}, volume = {95}, year = {2009}, pages = {187-197}, zbl = {1171.35344}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-2-9} }
Grzegorz Łysik. Borel summable solutions of the Burgers equation. Annales Polonici Mathematici, Tome 95 (2009) pp. 187-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-2-9/