Borel summable solutions of the Burgers equation
Volume 95 / 2009
Annales Polonici Mathematici 95 (2009), 187-197
MSC: Primary 35C10, 35C20; Secondary 35K55.
DOI: 10.4064/ap95-2-9
Abstract
We give necessary and sufficient conditions for the formal power series solutions to the initial value problem for the Burgers equation $\partial _t u -\partial _x^2 u = \partial _x(u^2)$ to be convergent or Borel summable.
