Borel summable solutions of the Burgers equation
Grzegorz Łysik
Annales Polonici Mathematici, Tome 95 (2009), p. 187-197 / Harvested from The Polish Digital Mathematics Library

We give necessary and sufficient conditions for the formal power series solutions to the initial value problem for the Burgers equation tu-x²u=x(u²) to be convergent or Borel summable.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:280969
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     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}
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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/