Solutions to some nonlinear PDE's in the form of Laplace type integrals
Maria E. Pliś
Annales Polonici Mathematici, Tome 79 (2002), p. 45-62 / Harvested from The Polish Digital Mathematics Library
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A nonlinear equation P(D)u=αum in 2 variables is considered. A formal solution as a series of Laplace integrals is constructed. It is shown that assuming some properties of Char P, one gets the Gevrey class of such solutions. In some cases convergence “at infinity” is proved.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:280611 
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Maria E. Pliś. Solutions to some nonlinear PDE's in the form of Laplace type integrals. Annales Polonici Mathematici, Tome 79 (2002) pp. 45-62. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap79-1-4/