Geodesic
Borel summable solutions of the Burgers equation
Grzegorz /Lysik1
1Institute of Mathematics Polish Academy of Sciences P.O. Box 21 00-956 Warszawa 10, Poland and Jan Kochanowski University Kielce, Poland
Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 187-197
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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.
DOI : 10.4064/ap95-2-9
Keywords: necessary sufficient conditions formal power series solutions initial value problem burgers equation partial partial partial convergent borel summable

Grzegorz /Lysik  1

1 Institute of Mathematics Polish Academy of Sciences P.O. Box 21 00-956 Warszawa 10, Poland and Jan Kochanowski University Kielce, Poland 
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Grzegorz /Lysik. Borel summable solutions of the Burgers equation. Annales Polonici Mathematici, Tome 95 (2009) no. 2, pp. 187-197. doi: 10.4064/ap95-2-9

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